Pub Date : 2024-06-07DOI: 10.1016/j.nuclphysb.2024.116589
Remo Garattini , Phongpichit Channuie
Inspired by holographic dark energy models, we explore various energy density profiles as potential sources for creating traversable wormholes. Because these energy densities are all positive, we introduce an equation of state in the form . We find that achieving Zero Tidal Forces requires to become infinite as r approaches infinity. To solve this issue, we introduce appropriate modifications on the function in such a way to obtain a finite result everywhere. These modifications do not affect the behavior of the equation of state near the wormhole's throat. Surprisingly, all dark energy profiles end up in the phantom region. Among the profiles we consider, only one does not require changes to to achieve Zero Tidal Forces. This profile is also consistent with the presence of a Global Monopole.
受全息暗能量模型的启发,我们探索了各种能量密度剖面,作为创建可穿越虫洞的潜在来源。由于这些能量密度都是正值,我们引入了一个pr(r)=ωr(r)ρ(r)的状态方程。我们发现,要实现零潮汐力,ωr(r) 必须在 r 接近无穷大时变得无限大。为了解决这个问题,我们对函数 ωr(r)进行了适当的修正,从而在任何地方都能得到有限的结果。这些修正不会影响虫洞咽喉附近的状态方程的行为。令人惊讶的是,所有暗能量剖面最终都进入了幻影区域。在我们考虑的剖面中,只有一个不需要改变ωr(r)就能实现零潮汐力。这个剖面也与全球单极的存在相一致。
{"title":"Traversable wormholes supported by holographic dark energy with a modified equation of state","authors":"Remo Garattini , Phongpichit Channuie","doi":"10.1016/j.nuclphysb.2024.116589","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116589","url":null,"abstract":"<div><p>Inspired by holographic dark energy models, we explore various energy density profiles as potential sources for creating traversable wormholes. Because these energy densities are all positive, we introduce an equation of state in the form <span><math><msub><mrow><mi>p</mi></mrow><mrow><mi>r</mi></mrow></msub><mo>(</mo><mi>r</mi><mo>)</mo><mo>=</mo><msub><mrow><mi>ω</mi></mrow><mrow><mi>r</mi></mrow></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow><mi>ρ</mi><mo>(</mo><mi>r</mi><mo>)</mo></math></span>. We find that achieving Zero Tidal Forces requires <span><math><msub><mrow><mi>ω</mi></mrow><mrow><mi>r</mi></mrow></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></math></span> to become infinite as <em>r</em> approaches infinity. To solve this issue, we introduce appropriate modifications on the function <span><math><msub><mrow><mi>ω</mi></mrow><mrow><mi>r</mi></mrow></msub><mo>(</mo><mi>r</mi><mo>)</mo></math></span> in such a way to obtain a finite result everywhere. These modifications do not affect the behavior of the equation of state near the wormhole's throat. Surprisingly, all dark energy profiles end up in the phantom region. Among the profiles we consider, only one does not require changes to <span><math><msub><mrow><mi>ω</mi></mrow><mrow><mi>r</mi></mrow></msub><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow></math></span> to achieve Zero Tidal Forces. This profile is also consistent with the presence of a Global Monopole.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S055032132400155X/pdfft?md5=7643ed2a5c13db0156720b66a8eaf9b2&pid=1-s2.0-S055032132400155X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141303099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-07DOI: 10.1016/j.nuclphysb.2024.116591
Dongwei Li , Lei Meng , Haijing Zhou
This paper uses approximate analytical formulas and numerical results with the bino-dominated dark matter (DM) as an example to analyze the impact of the LUX-ZEPLIN (LZ) experiment on the DM phenomenology and naturalness in the Minimal Supersymmetric Standard Model (MSSM). We conclude that the limitation of the latest LZ experiment worsens the naturalness of the MSSM, as the predictions of the Z-boson mass and DM relic density demonstrate, particularly in the regions where the correct DM relic density is obtained by the Z- or h-mediated resonant annihilations.
{"title":"Impact of the LZ experiment on the DM phenomenology and naturalness in the MSSM","authors":"Dongwei Li , Lei Meng , Haijing Zhou","doi":"10.1016/j.nuclphysb.2024.116591","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116591","url":null,"abstract":"<div><p>This paper uses approximate analytical formulas and numerical results with the bino-dominated dark matter (DM) as an example to analyze the impact of the LUX-ZEPLIN (LZ) experiment on the DM phenomenology and naturalness in the Minimal Supersymmetric Standard Model (MSSM). We conclude that the limitation of the latest LZ experiment worsens the naturalness of the MSSM, as the predictions of the <em>Z</em>-boson mass and DM relic density demonstrate, particularly in the regions where the correct DM relic density is obtained by the <em>Z</em>- or <em>h</em>-mediated resonant annihilations.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001573/pdfft?md5=9f7fc24ccb9e3a42bc451b2dbb26aa70&pid=1-s2.0-S0550321324001573-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141324775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-07DOI: 10.1016/j.nuclphysb.2024.116590
Qin Fei , Fengfu Shen
The stochastic signal detected by the NANOGrav, PPTA, EPTA, and CPTA collaborations can be attributed to gravitational waves induced by the primordial curvature perturbations generated during inflation. These scalar-induced gravitational waves provide valuable insights into the small-scale inflation and reheating epochs. In this paper, we assume an equation of state of during reheating and adopt a log-normal form for the primordial curvature power spectrum to elucidate the observed stochastic signal. The inflation and reheating scenarios are rigorously constrained utilizing Bayesian methods applied to the NANOGrav 15-year data set. The analysis yields constraints on the reheating temperature, indicating , a result consistent with constraints derived from Big Bang nucleosynthesis. Furthermore, the NANOGrav 15-year data set necessitates the primordial curvature power spectrum's amplitude and width to satisfy and , respectively. Due to the change in the equation of state w, there exists a turning point in the energy density spectrum of scalar-induced gravitational waves. This suggests that if more data about the scalar-induced gravitational waves is observed, it could potentially provide constraints on the time when the reheating epoch transitions to radiation domination.
{"title":"Constraints on primordial curvature power spectrum with kination era: Insights from NANOGrav 15-year data set","authors":"Qin Fei , Fengfu Shen","doi":"10.1016/j.nuclphysb.2024.116590","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116590","url":null,"abstract":"<div><p>The stochastic signal detected by the NANOGrav, PPTA, EPTA, and CPTA collaborations can be attributed to gravitational waves induced by the primordial curvature perturbations generated during inflation. These scalar-induced gravitational waves provide valuable insights into the small-scale inflation and reheating epochs. In this paper, we assume an equation of state of <span><math><mi>w</mi><mo>=</mo><mn>1</mn></math></span> during reheating and adopt a log-normal form for the primordial curvature power spectrum to elucidate the observed stochastic signal. The inflation and reheating scenarios are rigorously constrained utilizing Bayesian methods applied to the NANOGrav 15-year data set. The analysis yields constraints on the reheating temperature, indicating <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>rh</mi></mrow></msub><mo>≳</mo><mn>0.01</mn><mrow><mi>Gev</mi></mrow></math></span>, a result consistent with constraints derived from Big Bang nucleosynthesis. Furthermore, the NANOGrav 15-year data set necessitates the primordial curvature power spectrum's amplitude and width to satisfy <span><math><mi>A</mi><mo>∼</mo><mn>0.01</mn></math></span> and <span><math><mi>Δ</mi><mo>≲</mo><mn>0.1</mn></math></span>, respectively. Due to the change in the equation of state <em>w</em>, there exists a turning point in the energy density spectrum of scalar-induced gravitational waves. This suggests that if more data about the scalar-induced gravitational waves is observed, it could potentially provide constraints on the time when the reheating epoch transitions to radiation domination.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001561/pdfft?md5=ae853fd9487ee40f49a02e0e9b555930&pid=1-s2.0-S0550321324001561-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141314846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-07DOI: 10.1016/j.nuclphysb.2024.116588
A.E. Cárcamo Hernández , Juan Marchant González , Daniel Salinas-Arizmendi , M.L. Mora-Urrutia
We proposed a viable and predictive model based on the gauge symmetry, supplemented by the global symmetry, the family symmetry and several auxiliary cyclic symmetries, which successfully reproduces the experimentally observed SM fermion mass and mixing pattern. The tiny active neutrino masses are generated through an inverse seesaw mechanism mediated by right-handed Majorana neutrinos. The model is consistent with the SM fermion masses and mixings and successfully accommodates the current Higgs diphoton decay rate constraints as well as the constraints arising from oblique S, T and U parameters and we studied the meson mixing due to flavor changing neutral currents mediated by heavy scalars, finding parameter space consistent with experimental constraints.
我们提出了一个基于SU(3)C×SU(3)L×U(1)X规对称、辅以全局U(1)Lg对称、S4族对称和若干辅助循环对称的可行预测模型,它成功地再现了实验观测到的SM费米子质量和混合模式。微小的主动中微子质量是通过右旋马约拉纳中微子介导的反跷跷板机制产生的。该模型与 SM 费米子质量和混合相一致,并成功地适应了当前的希格斯二光子衰变率约束,以及斜 S、T 和 U 参数所产生的约束,我们还研究了重标量介导的味道变化中性电流所导致的介子混合,发现参数空间与实验约束相一致。
{"title":"Phenomenological aspects of the fermion and scalar sectors of a S4 flavored 3-3-1 model","authors":"A.E. Cárcamo Hernández , Juan Marchant González , Daniel Salinas-Arizmendi , M.L. Mora-Urrutia","doi":"10.1016/j.nuclphysb.2024.116588","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116588","url":null,"abstract":"<div><p>We proposed a viable and predictive model based on the <span><math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>C</mi></mrow></msub><mo>×</mo><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>L</mi></mrow></msub><mo>×</mo><mi>U</mi><msub><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>X</mi></mrow></msub></math></span> gauge symmetry, supplemented by the global <span><math><mi>U</mi><msub><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>L</mi><mi>g</mi></mrow></msub></math></span> symmetry, the <span><math><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> family symmetry and several auxiliary cyclic symmetries, which successfully reproduces the experimentally observed SM fermion mass and mixing pattern. The tiny active neutrino masses are generated through an inverse seesaw mechanism mediated by right-handed Majorana neutrinos. The model is consistent with the SM fermion masses and mixings and successfully accommodates the current Higgs diphoton decay rate constraints as well as the constraints arising from oblique <em>S</em>, <em>T</em> and <em>U</em> parameters and we studied the meson mixing due to flavor changing neutral currents mediated by heavy scalars, finding parameter space consistent with experimental constraints.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001548/pdfft?md5=e7ca8b4740b92bf39ab6ccd0f9ea2b64&pid=1-s2.0-S0550321324001548-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141315061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-06DOI: 10.1016/j.nuclphysb.2024.116582
Vincent Lahoche , Dine Ousmane Samary
In this paper, we study the equilibrium states of a stochastic complex random matrix M, whose entries evolve in time accordingly with a Langevin equation including both Gaussian white noises and a linear disorder, materialized by the Wigner random matrices. In large N-limit, the disorders behave as effective kinetics, and we examine a coarse-graining over the Wigner spectrum accordingly with two different schemes that we call respectively “active” and “passive”. We then investigate explicit solutions of the nonperturbative renormalization group using vertex and derivative expansion, a simple way to deal with the nonlocal nature of the effective field theory at large N. Our main statement is the existence of well-behaved fixed point solutions and at least some evidence about a discontinuous (first order) phase transition between a condensed and a dilute phase. We finally interpret the resulting phase space regarding the out-of-equilibrium process related to the dynamical phase transitions.
在本文中,我们研究了 N×N 随机复合随机矩阵 M 的平衡态,其条目随朗格文方程(包括高斯白噪声和由维格纳随机矩阵具体化的线性失调)的时间演化而相应变化。在大 N Limit 条件下,无序表现为有效动力学,我们相应地使用两种不同的方案(我们分别称之为 "主动 "和 "被动 "方案)对 Wigner 频谱进行粗粒化研究。然后,我们利用顶点和导数展开来研究非微扰重正化群的显式解,这是处理大 N 有效场理论非局部性质的一种简单方法。我们的主要论述是存在乖离的定点解,以及在凝聚相和稀释相之间不连续(一阶)相变的至少一些证据。最后,我们解释了与动力学相变相关的失衡过程所产生的相空间。
{"title":"Functional renormalization group for “p = 2” like glassy matrices in the planar approximation I. Vertex expansion at equilibrium","authors":"Vincent Lahoche , Dine Ousmane Samary","doi":"10.1016/j.nuclphysb.2024.116582","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116582","url":null,"abstract":"<div><p>In this paper, we study the equilibrium states of a <span><math><mi>N</mi><mo>×</mo><mi>N</mi></math></span> stochastic complex random matrix <em>M</em>, whose entries evolve in time accordingly with a Langevin equation including both Gaussian white noises and a linear disorder, materialized by the Wigner random matrices. In large N-limit, the disorders behave as effective kinetics, and we examine a coarse-graining over the Wigner spectrum accordingly with two different schemes that we call respectively “active” and “passive”. We then investigate explicit solutions of the nonperturbative renormalization group using vertex and derivative expansion, a simple way to deal with the nonlocal nature of the effective field theory at large N. Our main statement is the existence of well-behaved fixed point solutions and at least some evidence about a discontinuous (first order) phase transition between a condensed and a dilute phase. We finally interpret the resulting phase space regarding the out-of-equilibrium process related to the dynamical phase transitions.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001482/pdfft?md5=e6520cdfbb48e85ba1df3c706e4c274b&pid=1-s2.0-S0550321324001482-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141294586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the horizon structure and ergosphere in a charged rotating black hole within 4D Einstein-Gauss-Bonnet gravity, which introduces additional parameters (Q) because of the charge and Gauss-Bonnet parameter (β), besides the mass (M) and rotation parameter (a). Interestingly, for each value of the parameter Q (β), there is a critical GB parameter () that corresponds to an extremal black hole with degenerate horizons. For (), it describes a non-extremal black hole with two horizons, and for (), no black hole exists. The extremal value () is also affected by the GB parameter α and the ergosphere. We also study the collision of two equal-mass particles near the horizon of this black hole and explicitly show the effect of the parameter β (Q). The innermost stable circular orbits (ISCO) and the effective potential, which governs the motion of particles in spacetime, have been analyzed for different parameter values. The centre-of-mass energy () depends on the rotation parameter a and the parameters β and Q. We investigate the of two colliding particles near the horizon for both extremal and non-extremal cases. It is shown that in extremal cases, when one of the colliding particles has a critical angular momentum, the can be arbitrarily high, suggesting that the charged rotating in 4D Einstein-Gauss-Bonnet gravity can function as a particle accelerator. Despite the complexity of the BH solution, an exact expression for the thermodynamic quantities of black holes, such as the mass, Hawking temperature, and entropy, is derived in terms of the horizon radius. These quantities show significant deviations from the Kerr solution because of the influence of the Gauss-Bonnet parameter and electric charge.
{"title":"Particle acceleration near a rotating charged black hole in 4D Einstein-Gauss-Bonnet gravity","authors":"Abdurakhmon Nosirov , Farruh Atamurotov , Gulzoda Rakhimova , Ahmadjon Abdujabbarov , Sushant G. Ghosh","doi":"10.1016/j.nuclphysb.2024.116583","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116583","url":null,"abstract":"<div><p>We investigate the horizon structure and ergosphere in a charged rotating black hole within 4D Einstein-Gauss-Bonnet gravity, which introduces additional parameters (<em>Q</em>) because of the charge and Gauss-Bonnet parameter (<em>β</em>), besides the mass (<em>M</em>) and rotation parameter (<em>a</em>). Interestingly, for each value of the parameter <em>Q</em> (<em>β</em>), there is a critical GB parameter <span><math><mi>β</mi><mo>=</mo><msub><mrow><mi>β</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span> (<span><math><mi>Q</mi><mo>=</mo><msub><mrow><mi>Q</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span>) that corresponds to an extremal black hole with degenerate horizons. For <span><math><mi>β</mi><mo><</mo><msub><mrow><mi>β</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span> (<span><math><mi>Q</mi><mo><</mo><msub><mrow><mi>Q</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span>), it describes a non-extremal black hole with two horizons, and for <span><math><mi>β</mi><mo>></mo><msub><mrow><mi>β</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span> (<span><math><mi>Q</mi><mo>></mo><msub><mrow><mi>Q</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span>), no black hole exists. The extremal value <span><math><msub><mrow><mi>β</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span> (<span><math><msub><mrow><mi>Q</mi></mrow><mrow><mi>E</mi></mrow></msub></math></span>) is also affected by the GB parameter <em>α</em> and the ergosphere. We also study the collision of two equal-mass particles near the horizon of this black hole and explicitly show the effect of the parameter <em>β</em> (<em>Q</em>). The innermost stable circular orbits (ISCO) and the effective potential, which governs the motion of particles in spacetime, have been analyzed for different parameter values. The centre-of-mass energy (<span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>CM</mi></mrow></msub></math></span>) depends on the rotation parameter <em>a</em> and the parameters <em>β</em> and <em>Q</em>. We investigate the <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>CM</mi></mrow></msub></math></span> of two colliding particles near the horizon for both extremal and non-extremal cases. It is shown that in extremal cases, when one of the colliding particles has a critical angular momentum, the <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>CM</mi></mrow></msub></math></span> can be arbitrarily high, suggesting that the charged rotating in 4D Einstein-Gauss-Bonnet gravity can function as a particle accelerator. Despite the complexity of the BH solution, an exact expression for the thermodynamic quantities of black holes, such as the mass, Hawking temperature, and entropy, is derived in terms of the horizon radius. These quantities show significant deviations from the Kerr solution because of the influence of the Gauss-Bonnet parameter and electric charge.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001494/pdfft?md5=b9222fefb8b6bd817ed50970feca7987&pid=1-s2.0-S0550321324001494-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141308339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-04DOI: 10.1016/j.nuclphysb.2024.116586
Ipsita Mandal
We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the CDW boson is centred at the wavevector , which connects a single pair of antipodal points on the Fermi surface with antiparallel tangent vectors. We employ the dimensional regularization technique in which the co-dimension of the Fermi surface is extended to a generic value, while keeping the dimension of the Fermi surface itself fixed at one. Although the system is strongly coupled at dimension , the interactions become marginal at the upper critical dimension , whose value is found to be 5/2. Using a controlled perturbative expansion in the parameter , we compute the critical exponents of the stable infrared fixed point characterizing the quantum critical point. The scalings of the original theory are determined by setting , where the fermion self-energy is seen to scale with the frequency with a fractional power law of 2/3, which is the telltale signature of a typical non-Fermi liquid phase.
{"title":"Stable non-Fermi liquid fixed point at the onset of incommensurate 2kF charge density wave order","authors":"Ipsita Mandal","doi":"10.1016/j.nuclphysb.2024.116586","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116586","url":null,"abstract":"<div><p>We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the CDW boson is centred at the wavevector <span><math><mi>Q</mi></math></span>, which connects a single pair of antipodal points on the Fermi surface with antiparallel tangent vectors. We employ the dimensional regularization technique in which the co-dimension of the Fermi surface is extended to a generic value, while keeping the dimension of the Fermi surface itself fixed at one. Although the system is strongly coupled at dimension <span><math><mi>d</mi><mo>=</mo><mn>2</mn></math></span>, the interactions become marginal at the upper critical dimension <span><math><mi>d</mi><mo>=</mo><msub><mrow><mi>d</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, whose value is found to be 5/2. Using a controlled perturbative expansion in the parameter <span><math><mi>ϵ</mi><mo>=</mo><msub><mrow><mi>d</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mi>d</mi></math></span>, we compute the critical exponents of the stable infrared fixed point characterizing the quantum critical point. The scalings of the original theory are determined by setting <span><math><mi>ϵ</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></math></span>, where the fermion self-energy is seen to scale with the frequency with a fractional power law of 2/3, which is the telltale signature of a typical non-Fermi liquid phase.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001524/pdfft?md5=3b6755c9568823642ed364a8396adc30&pid=1-s2.0-S0550321324001524-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141324777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-04DOI: 10.1016/j.nuclphysb.2024.116585
Jewel K. Ghosh , M. Arshad Momen
We consider a probe Maxwell-Chern-Simons theory in 5-dimensions, and analyze the vector perturbations around a classical charged black-brane background. We solve the equations of motion for these perturbations in a derivative expansion. By computing the boundary current, we find that time and spatial derivatives can be interpreted as the induced electric and magnetic field respectively, and the Chern-Simons term contributes to a nonzero divergence of the boundary current which indicates a quantum anomaly. Using holography, we construct a two-derivative effective action for the vector perturbations. By complexifying the radial coordinate, and using appropriate transformation, we construct the full solution on the complexified bulk contour. By computing the on-shell action for the full Schwinger-Keldysh geometry, we obtain the Keldysh functional. We find that the single boundary on-shell action mixes parity, whereas the Keldysh functional does not depend on the Chern-Simons term up to the quadratic orders in derivative expansion.
{"title":"An effective theory of anomalous charge diffusion from holography","authors":"Jewel K. Ghosh , M. Arshad Momen","doi":"10.1016/j.nuclphysb.2024.116585","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116585","url":null,"abstract":"<div><p>We consider a probe <span><math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math></span> Maxwell-Chern-Simons theory in 5-dimensions, and analyze the vector perturbations around a classical charged black-brane background. We solve the equations of motion for these perturbations in a derivative expansion. By computing the boundary current, we find that time and spatial derivatives can be interpreted as the induced electric and magnetic field respectively, and the Chern-Simons term contributes to a nonzero divergence of the boundary current which indicates a quantum anomaly. Using holography, we construct a two-derivative effective action for the vector perturbations. By complexifying the radial coordinate, and using appropriate transformation, we construct the full solution on the complexified bulk contour. By computing the on-shell action for the full Schwinger-Keldysh geometry, we obtain the Keldysh functional. We find that the single boundary on-shell action mixes parity, whereas the Keldysh functional does not depend on the Chern-Simons term up to the quadratic orders in derivative expansion.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001512/pdfft?md5=a5a48eb4258b202273ce8ca462cab277&pid=1-s2.0-S0550321324001512-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141308225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We propose a new lapse function that simplifies the Hamiltonian constraint, describing the interior of the black hole in terms of the Ashtekar-Barbero variables, into a more straightforward form. The new Hamiltonian leads to different equations of motion than those found in the literature, but through a suitable transformation between temporal parameters, it is found that such a choice leads us to the classical solutions of the Schwarzschild metric, still preserving the physical singularity. In order to resolve this singularity, and inspired by the minimal uncertainty approach, we modify the classical algebra between the dynamic variables of the model, imposing an effective dynamics within the black hole. As a consequence, one of the dynamic variables, denoted by , acquires a minimum value at the singularity , and on the other hand, the variable related to the radius of the 2-sphere, , leads to the resolution of the classical singularity of the black hole by replacing it with a bounce that connects the interior of the black hole with the interior of the white hole. This bounce occurs in the Planck-scale region, where a new event horizon manifests. Upon crossing this horizon, the nature of the interval changes from spatial to temporal outside the white hole.
我们提出了一种新的失效函数,它将用阿什特卡-巴贝罗变量描述黑洞内部的哈密顿约束简化为一种更直接的形式。新的汉密尔顿导致了与文献中不同的运动方程,但通过时间参数之间的适当变换,我们发现这样的选择会引导我们找到施瓦兹柴尔德度量的经典解,同时仍然保留了物理奇点。为了解决这个奇点,受最小不确定性方法的启发,我们修改了模型动态变量之间的经典代数,在黑洞内部施加了一个有效的动力学。因此,其中一个动态变量(用 pb 表示)在奇点 t=0 时获得了最小值,而另一方面,与 2 球半径有关的变量 pc 则导致了黑洞经典奇点的解决,用连接黑洞内部和白洞内部的反弹取代了经典奇点。这种反弹发生在普朗克尺度区域,在那里会出现一个新的事件视界。穿过这个视界后,白洞外的时间间隔性质就会从空间性转变为时间性。
{"title":"Semiclassical resolution of the black hole singularity inspired in the minimal uncertainty approach","authors":"Brayan Melchor , Rolando Perca , Wilfredo Yupanqui","doi":"10.1016/j.nuclphysb.2024.116584","DOIUrl":"10.1016/j.nuclphysb.2024.116584","url":null,"abstract":"<div><p>We propose a new lapse function that simplifies the Hamiltonian constraint, describing the interior of the black hole in terms of the Ashtekar-Barbero variables, into a more straightforward form. The new Hamiltonian leads to different equations of motion than those found in the literature, but through a suitable transformation between temporal parameters, it is found that such a choice leads us to the classical solutions of the Schwarzschild metric, still preserving the physical singularity. In order to resolve this singularity, and inspired by the minimal uncertainty approach, we modify the classical algebra between the dynamic variables of the model, imposing an effective dynamics within the black hole. As a consequence, one of the dynamic variables, denoted by <span><math><msub><mrow><mi>p</mi></mrow><mrow><mi>b</mi></mrow></msub></math></span>, acquires a minimum value at the singularity <span><math><mi>t</mi><mo>=</mo><mn>0</mn></math></span>, and on the other hand, the variable related to the radius of the 2-sphere, <span><math><msub><mrow><mi>p</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, leads to the resolution of the classical singularity of the black hole by replacing it with a bounce that connects the interior of the black hole with the interior of the white hole. This bounce occurs in the Planck-scale region, where a new event horizon manifests. Upon crossing this horizon, the nature of the interval changes from spatial to temporal outside the white hole.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001500/pdfft?md5=1064a44684aaad59f211cb5906948e5a&pid=1-s2.0-S0550321324001500-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141277602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-31DOI: 10.1016/j.nuclphysb.2024.116570
Jitendra Pal , Sourav Roychowdhury
In this paper we study integrability and non-integrability for type-IIA supergravity background dual to deformed plane wave matrix model. From the bulk perspective, we estimate various chaos indicators that clearly shows chaotic string dynamics in the limit of small value of the parameter L present in the theory. On the other hand, the string dynamics exhibits a non-chaotic motion for the large value of the parameter L and therefore presumably an underlying integrable structure. Our findings reveal that the parameter L in the type-IIA background acts as an interpolation between a non-integrable theory to an integrable theory in dual SCFTs.
本文研究了与变形平面波矩阵模型对偶的 IIA 型超引力背景的可整性和不可整性。从体的角度来看,我们估计了各种混沌指标,这些指标清楚地显示了在理论中存在的参数L的小值极限下的混沌弦动力学。另一方面,当参数 L 的值较大时,弦动力学表现出非混沌运动,因此推测其背后存在可积分结构。我们的发现揭示了参数 L 在 IIA 型背景下充当了对偶 SCFTs 中不可整理论与可整理论之间的插值。
{"title":"Integrability and non-integrability for holographic dual of matrix model and non-Abelian T-dual of AdS5×S5","authors":"Jitendra Pal , Sourav Roychowdhury","doi":"10.1016/j.nuclphysb.2024.116570","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116570","url":null,"abstract":"<div><p>In this paper we study integrability and non-integrability for type-IIA supergravity background dual to deformed plane wave matrix model. From the bulk perspective, we estimate various chaos indicators that clearly shows chaotic string dynamics in the limit of small value of the parameter <em>L</em> present in the theory. On the other hand, the string dynamics exhibits a non-chaotic motion for the large value of the parameter <em>L</em> and therefore presumably an underlying integrable structure. Our findings reveal that the parameter <em>L</em> in the type-IIA background acts as an interpolation between a non-integrable theory to an integrable theory in dual SCFTs.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001366/pdfft?md5=92361993fdbedf184d25f63d391d0380&pid=1-s2.0-S0550321324001366-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141242786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}