We use perturbation theory to construct a family of time-dependent microstrata: a set of non-extremal solutions of IIB supergravity asymptotic to AdS3 × S3 × T4. Our construction shows that the “special locus” constraints of [1] can be broken by allowing the solutions to depend on time. We study the secular terms appearing in the perturbation theory. Some of them can be resummed into frequency shifts, with the same interpretation as for the previously-studied microstrata solutions. Other secular terms appear harder to resum, questioning the long-term stability of the solutions.
{"title":"Time-dependent microstrata in AdS3","authors":"Anthony Houppe","doi":"10.1007/jhep09(2024)083","DOIUrl":"https://doi.org/10.1007/jhep09(2024)083","url":null,"abstract":"<p>We use perturbation theory to construct a family of time-dependent microstrata: a set of non-extremal solutions of IIB supergravity asymptotic to AdS<sub>3</sub> × <i>S</i><sup>3</sup> × <i>T</i><sup>4</sup>. Our construction shows that the “special locus” constraints of [1] can be broken by allowing the solutions to depend on time. We study the secular terms appearing in the perturbation theory. Some of them can be resummed into frequency shifts, with the same interpretation as for the previously-studied microstrata solutions. Other secular terms appear harder to resum, questioning the long-term stability of the solutions.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The non-observation of baryon number violation suggests that the scale of baryon-number violating interactions at zero temperature is comparable to the GUT scale. However, the pertinent measurements involve hadrons made of the first-generation quarks, such as protons and neutrons. One may therefore entertain the idea that new flavour physics breaks baryon number at a much lower scale, but only in the coupling to a third generation quark, leading to observable baryon-number violating b-hadron decay rates. In this paper we show that indirect constraints on the new physics scale ΛBNV from the existing bounds on the proton lifetime do not allow for this possibility. For this purpose we consider the three dominant proton decay channels p → ( {ell}^{+}{nu}_{ell}overline{nu} ), p → ( {pi}^{+}overline{nu} ) and p → π0ℓ+ mediated by a virtual bottom quark.
没有观测到违反重子数的现象表明,零温度下违反重子数的相互作用尺度与 GUT 尺度相当。然而,相关测量涉及由第一代夸克(如质子和中子)构成的强子。因此,我们可以认为,新味道物理学在更低的尺度上打破了重子数,但只是在与第三代夸克的耦合中,导致了可观测到的重子数违反b-重子衰变率。在本文中,我们证明了从质子寿命的现有边界对新物理尺度ΛBNV的间接约束不允许这种可能性。为此,我们考虑了由虚拟底夸克介导的三个主要质子衰变通道p → ({ell}^{+}{nu}_{ell}overline{nu})、p → ({pi}^{+}overline{nu})和p → π0ℓ+ 。
{"title":"Indirect constraints on third generation baryon number violation","authors":"Martin Beneke, Gael Finauri, Alexey A. Petrov","doi":"10.1007/jhep09(2024)090","DOIUrl":"https://doi.org/10.1007/jhep09(2024)090","url":null,"abstract":"<p>The non-observation of baryon number violation suggests that the scale of baryon-number violating interactions at zero temperature is comparable to the GUT scale. However, the pertinent measurements involve hadrons made of the first-generation quarks, such as protons and neutrons. One may therefore entertain the idea that new flavour physics breaks baryon number at a much lower scale, but only in the coupling to a third generation quark, leading to observable baryon-number violating <i>b</i>-hadron decay rates. In this paper we show that indirect constraints on the new physics scale Λ<sub>BNV</sub> from the existing bounds on the proton lifetime do not allow for this possibility. For this purpose we consider the three dominant proton decay channels <i>p</i> → <span>( {ell}^{+}{nu}_{ell}overline{nu} )</span>, <i>p</i> → <span>( {pi}^{+}overline{nu} )</span> and <i>p</i> → <i>π</i><sup>0</sup><i>ℓ</i><sup>+</sup> mediated by a virtual bottom quark.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we give a proof of 5D An AGT conjecture at β = 1, where the gauge theory side is one dimension higher than the original 4D case, and corresponds to the q-deformation of the 2D conformal field theory side. We define a q-deformed An Selberg integral, which generalizes the An Selberg integral and the q-deformed A1 Selberg integral in the literature. A q-deformed An Selberg average formula with n + 1 Schur polynomials is proposed and proved to complete the proof.
{"title":"Proof of 5D An AGT conjecture at β = 1","authors":"Qian Shen, Zi-Hao Huang, Shao-Ping Hu, Qing-Jie Yuan, Kilar Zhang","doi":"10.1007/jhep09(2024)085","DOIUrl":"https://doi.org/10.1007/jhep09(2024)085","url":null,"abstract":"<p>In this paper, we give a proof of 5D <i>A</i><sub><i>n</i></sub> AGT conjecture at <i>β</i> = 1, where the gauge theory side is one dimension higher than the original 4D case, and corresponds to the q-deformation of the 2D conformal field theory side. We define a q-deformed <i>A</i><sub><i>n</i></sub> Selberg integral, which generalizes the <i>A</i><sub><i>n</i></sub> Selberg integral and the q-deformed <i>A</i><sub>1</sub> Selberg integral in the literature. A q-deformed <i>A</i><sub><i>n</i></sub> Selberg average formula with <i>n</i> + 1 Schur polynomials is proposed and proved to complete the proof.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work, we investigate a coordinate space structure function ( mathcal{E} )(z2m2, λ) in the 2D U(N) Gross-Neveu model to the next-to-leading order in the large-N expansion. We analytically perform the twist expansion in the Bjorken limit through double Mellin representations. Hard and non-perturbative scaling functions are naturally generated in their Borel representations with detailed enumerations and explicit expressions provided to all powers. The renormalon cancellation at t = n between the hard functions at powers p and the non-perturbative functions at powers p + n are explicitly verified, and the issue of “scale-dependency” of the perturbative and non-perturbative functions is explained naturally. Simple expressions for the leading power non-perturbative functions are also provided both in the coordinate space and the momentum-fraction space (0 < α < 1) with “zero-mode-type” subtractions at α = 0 discussed in detail. In addition to the Bjorken limit, we also perform the threshold expansion of the structure function up to the next-to-next-to-leading threshold power exactly and investigate the resurgence relation between threshold and “Regge” asymptotics. We also prove that the twist expansion is absolutely convergent for any 0 < z2 < ∞ and any λ ∈ iR≥0.
在这项工作中,我们研究了二维 U(N) 格罗斯-涅维乌(Gross-Neveu)模型中的坐标空间结构函数 (mathcal{E} )(z2m2, λ)在大 N 扩展中的次引阶。我们通过双梅林表征,在比约肯(Bjorken)极限中进行了捻度展开的分析。硬和非微扰缩放函数在它们的玻雷尔表示中自然生成,并提供了所有幂次的详细枚举和明确表达。在 t = n 时,p 幂的硬函数和 p + n 幂的非微扰函数之间的重正子抵消得到了明确验证,微扰和非微扰函数的 "尺度依赖性 "问题也得到了自然解释。此外,还提供了前导幂非微扰函数在坐标空间和动量分数空间(0 < α < 1)的简单表达式,并详细讨论了 α = 0 时的 "零模型 "减法。除了比约肯极限之外,我们还对结构函数进行了阈值展开,直至精确到次导阈值幂,并研究了阈值渐近和 "雷格 "渐近之间的回升关系。我们还证明了对于任意 0 < z2 < ∞ 和任意 λ∈ iR≥0 的扭转展开是绝对收敛的。
{"title":"Bjorken and threshold asymptotics of a space-like structure function in the 2D U(N) Gross-Neveu model","authors":"Yizhuang Liu","doi":"10.1007/jhep09(2024)093","DOIUrl":"https://doi.org/10.1007/jhep09(2024)093","url":null,"abstract":"<p>In this work, we investigate a coordinate space structure function <span>( mathcal{E} )</span>(<i>z</i><sup>2</sup><i>m</i><sup>2</sup>, <i>λ</i>) in the 2D U(<i>N</i>) Gross-Neveu model to the next-to-leading order in the large-<i>N</i> expansion. We analytically perform the twist expansion in the Bjorken limit through double Mellin representations. Hard and non-perturbative scaling functions are naturally generated in their Borel representations with detailed enumerations and explicit expressions provided to all powers. The renormalon cancellation at <i>t</i> = <i>n</i> between the hard functions at powers <i>p</i> and the non-perturbative functions at powers <i>p</i> + <i>n</i> are explicitly verified, and the issue of “scale-dependency” of the perturbative and non-perturbative functions is explained naturally. Simple expressions for the leading power non-perturbative functions are also provided both in the coordinate space and the momentum-fraction space (0 < <i>α</i> < 1) with “zero-mode-type” subtractions at <i>α</i> = 0 discussed in detail. In addition to the Bjorken limit, we also perform the threshold expansion of the structure function up to the next-to-next-to-leading threshold power exactly and investigate the resurgence relation between threshold and “Regge” asymptotics. We also prove that the twist expansion is absolutely convergent for any 0 < <i>z</i><sup>2</sup> < ∞ and any <i>λ</i> ∈ <i>iR</i><sub><i>≥</i>0</sub>.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We bootstrap the Veneziano superstring amplitude in 10 dimensions from the bottom-up. Starting with the most general maximally supersymmetric Yang-Mills EFT, we input information about the lowest-lying massive states, which we assume contribute via tree-level exchanges to the 4-point amplitude. We show the following: (1) if there is only a single state at the lowest mass, it must be a scalar. (2) Assuming a string-inspired gap between the mass of this scalar and any other massive states, the allowed region of Wilson coefficients has a new sharp corner where the Veneziano amplitude is located. (3) Upon fixing the next massive state to be a vector, the EFT bounds have a one-parameter family of corners; these would correspond to models with linear Regge trajectories of varying slopes, one of which is the open superstring. (4) When the ratio between the massive scalar coupling and the trF4 coefficient is fixed to its string value, the spin and mass of the second massive state is determined by the bootstrap and the Veneziano amplitude is isolated on a small island in parameter space. Finally, we compare with other recent bootstraps approaches, both the pion model and imposing Regge-inspired maximal spin constraints.
{"title":"Corners and islands in the S-matrix bootstrap of the open superstring","authors":"Justin Berman, Henriette Elvang","doi":"10.1007/jhep09(2024)076","DOIUrl":"https://doi.org/10.1007/jhep09(2024)076","url":null,"abstract":"<p>We bootstrap the Veneziano superstring amplitude in 10 dimensions from the bottom-up. Starting with the most general maximally supersymmetric Yang-Mills EFT, we input information about the lowest-lying massive states, which we assume contribute via tree-level exchanges to the 4-point amplitude. We show the following: (1) if there is only a single state at the lowest mass, it must be a scalar. (2) Assuming a string-inspired gap between the mass of this scalar and any other massive states, the allowed region of Wilson coefficients has a new sharp corner where the Veneziano amplitude is located. (3) Upon fixing the next massive state to be a vector, the EFT bounds have a one-parameter family of corners; these would correspond to models with linear Regge trajectories of varying slopes, one of which is the open superstring. (4) When the ratio between the massive scalar coupling and the tr<i>F</i><sup>4</sup> coefficient is fixed to its string value, the spin and mass of the second massive state is determined by the bootstrap and the Veneziano amplitude is isolated on a small island in parameter space. Finally, we compare with other recent bootstraps approaches, both the pion model and imposing Regge-inspired maximal spin constraints.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The tree-level string effective action reduced from D to D − d dimensions possesses a continuous O(d, d) symmetry, closely related to T-duality. A necessary condition for a higher derivative correction to preserve this symmetry is that certain O(d, d) violating terms which appear in the dimensional reduction have to cancel out. We use this idea to complete the quartic Riemann correction with all terms involving five NS-NS sector fields. The resulting Lagrangian is considerably simpler than expressions that have previously appeared in the literature.
{"title":"Tree-level R4 correction from O(d, d): NS-NS five-point terms","authors":"Linus Wulff","doi":"10.1007/jhep09(2024)078","DOIUrl":"https://doi.org/10.1007/jhep09(2024)078","url":null,"abstract":"<p>The tree-level string effective action reduced from <i>D</i> to <i>D</i> − <i>d</i> dimensions possesses a continuous <i>O</i>(<i>d, d</i>) symmetry, closely related to T-duality. A necessary condition for a higher derivative correction to preserve this symmetry is that certain <i>O</i>(<i>d, d</i>) violating terms which appear in the dimensional reduction have to cancel out. We use this idea to complete the quartic Riemann correction with all terms involving five NS-NS sector fields. The resulting Lagrangian is considerably simpler than expressions that have previously appeared in the literature.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Holographic quantum matter exploits the AdS/CFT correspondence to study systems in condensed matter physics. An example of these systems are strongly correlated semimetals, which feature a rich phase diagram structure. In this work, we present a holographic model for a Dirac semimetal in 2 + 1 dimensions that features a topological phase transition. Our construction relies on deforming a relativistic UV fixed point with some relevant operators that explicitly break rotations and some internal symmetries. The phase diagram for different values of the relevant coupling constants is obtained. The different phases are characterized by distinct dispersion relations for probe fermionic modes in the AdS geometry. We find semi-metallic phases characterized by the presence of Dirac cones and an insulating phase featuring a mass gap with a mild anisotropy. Remarkably, we find as well an anisotropic semi-Dirac phase characterized by a massless a fermionic excitation dispersing linearly in one direction while quadratically in the other.
{"title":"Holographic description of an anisotropic Dirac semimetal","authors":"Sebastián Bahamondes, Ignacio Salazar Landea, Rodrigo Soto-Garrido","doi":"10.1007/jhep09(2024)080","DOIUrl":"https://doi.org/10.1007/jhep09(2024)080","url":null,"abstract":"<p>Holographic quantum matter exploits the AdS/CFT correspondence to study systems in condensed matter physics. An example of these systems are strongly correlated semimetals, which feature a rich phase diagram structure. In this work, we present a holographic model for a Dirac semimetal in 2 + 1 dimensions that features a topological phase transition. Our construction relies on deforming a relativistic UV fixed point with some relevant operators that explicitly break rotations and some internal symmetries. The phase diagram for different values of the relevant coupling constants is obtained. The different phases are characterized by distinct dispersion relations for probe fermionic modes in the AdS geometry. We find semi-metallic phases characterized by the presence of Dirac cones and an insulating phase featuring a mass gap with a mild anisotropy. Remarkably, we find as well an anisotropic semi-Dirac phase characterized by a massless a fermionic excitation dispersing linearly in one direction while quadratically in the other.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We consider a quantum scalar field in a classical (Euclidean) De Sitter background, whose radius is fixed dynamically by Einstein’s equations. In the case of a free scalar, it has been shown by Becker and Reuter that if one regulates the quantum effective action by putting a cutoff N on the modes of the quantum field, the radius is driven dynamically to infinity when N tends to infinity. We show that this result holds also in the case of a self-interacting scalar, both in the symmetric and broken-symmetry phase. Furthermore, when the gravitational background is put on shell, the quantum corrections to the mass and quartic self-coupling are found to be finite.
我们考虑的是经典(欧几里得)德西特背景中的量子标量场,其半径由爱因斯坦方程动态固定。在自由标量的情况下,贝克尔和罗伊特已经证明,如果对量子场的模式设定一个截止值 N 来调节量子有效作用,当 N 趋于无穷大时,半径会被动态地驱动到无穷大。我们证明,这一结果在自相互作用标量的情况下也成立,无论是在对称阶段还是在破对称阶段。此外,当引力背景被置于壳上时,我们发现质量和四元自耦合的量子修正是有限的。
{"title":"The cosmological constant problem and the effective potential of a gravity-coupled scalar","authors":"Renata Ferrero, Roberto Percacci","doi":"10.1007/jhep09(2024)074","DOIUrl":"https://doi.org/10.1007/jhep09(2024)074","url":null,"abstract":"<p>We consider a quantum scalar field in a classical (Euclidean) De Sitter background, whose radius is fixed dynamically by Einstein’s equations. In the case of a free scalar, it has been shown by Becker and Reuter that if one regulates the quantum effective action by putting a cutoff <i>N</i> on the modes of the quantum field, the radius is driven dynamically to infinity when <i>N</i> tends to infinity. We show that this result holds also in the case of a self-interacting scalar, both in the symmetric and broken-symmetry phase. Furthermore, when the gravitational background is put on shell, the quantum corrections to the mass and quartic self-coupling are found to be finite.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Blossier, M. Mangin-Brinet, J. M. Morgado Chávez, T. San José
Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes. Recently, new ideas have allowed their computation using lattice QCD, which should provide us with a general, fully relativistic determination. We present the first lattice calculation of the ηc-meson distribution amplitude at leading twist. Starting from the relevant matrix element in discrete Euclidean space on a set of Nf = 2 CLS ensembles, we explain the method to connect to continuum Minkowski spacetime. After addressing several sources of systematic uncertainty, we compare to Dyson-Schwinger and non-relativistic QCD determinations of this quantity. We find significant deviations between the latter and our result even at small Ioffe times.
{"title":"The distribution amplitude of the ηc-meson at leading twist from lattice QCD","authors":"B. Blossier, M. Mangin-Brinet, J. M. Morgado Chávez, T. San José","doi":"10.1007/jhep09(2024)079","DOIUrl":"https://doi.org/10.1007/jhep09(2024)079","url":null,"abstract":"<p>Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes. Recently, new ideas have allowed their computation using lattice QCD, which should provide us with a general, fully relativistic determination. We present the first lattice calculation of the <i>η</i><sub><i>c</i></sub>-meson distribution amplitude at leading twist. Starting from the relevant matrix element in discrete Euclidean space on a set of <i>N</i><sub><i>f</i></sub> = 2 CLS ensembles, we explain the method to connect to continuum Minkowski spacetime. After addressing several sources of systematic uncertainty, we compare to Dyson-Schwinger and non-relativistic QCD determinations of this quantity. We find significant deviations between the latter and our result even at small Ioffe times.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nontopological fermionic solitons exist across a diverse range of particle physics models and have rich cosmological implications. This study establishes a general framework for calculating fermionic soliton profiles under arbitrary scalar potentials, utilizing relativistic mean field theory to accurately depict the interaction between the fermion condensate and the background scalar field. Within this framework, the conventional “fermion bound states” are revealed as a subset of fermionic solitons. In addition, we demonstrate how the analytical formulae in previous studies are derived as special cases of our algorithm, discussing the validity of such approximations. Furthermore, we explore the phenomenology of fermionic solitons, highlighting new formation mechanisms and evolution paths, and reconsidering the possibility of collapse into primordial black holes.
{"title":"Revisiting the fermion-field nontopological solitons","authors":"Ke-Pan Xie","doi":"10.1007/jhep09(2024)077","DOIUrl":"https://doi.org/10.1007/jhep09(2024)077","url":null,"abstract":"<p>Nontopological fermionic solitons exist across a diverse range of particle physics models and have rich cosmological implications. This study establishes a general framework for calculating fermionic soliton profiles under arbitrary scalar potentials, utilizing relativistic mean field theory to accurately depict the interaction between the fermion condensate and the background scalar field. Within this framework, the conventional “fermion bound states” are revealed as a subset of fermionic solitons. In addition, we demonstrate how the analytical formulae in previous studies are derived as special cases of our algorithm, discussing the validity of such approximations. Furthermore, we explore the phenomenology of fermionic solitons, highlighting new formation mechanisms and evolution paths, and reconsidering the possibility of collapse into primordial black holes.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}