Pub Date : 2024-06-28DOI: 10.1016/j.nuclphysb.2024.116607
Zengo Tsuboi
Extending the method proposed in [1], we derive QQ-relations (functional relations among Baxter Q-functions) and T-functions (eigenvalues of transfer matrices) for fusion vertex models associated with the twisted quantum affine superalgebras , , , and the untwisted quantum affine orthosymplectic superalgebras and (and their Yangian counterparts, and ) as reductions (a kind of folding) of those associated with . In particular, we reproduce previously proposed generating functions (difference operators) of the T-functions for the symmetric or anti-symmetric representations, and tableau sum expressions for more general representations for orthosymplectic superalgebras [2], [3], and obtain Wron
我们扩展了[1]中提出的方法,推导出与扭曲量子仿射超代数 Uq(gl(2r+1|2s)(2))、Uq(gl(2r|2s+1)(2))相关的融合顶点模型的 QQ 关系(巴克斯特 Q 函数之间的函数关系)和 T 函数(转移矩阵的特征值)、Uq(gl(2r|2s)(2))、Uq(osp(2r|2s)(2))和非扭曲量子仿射正交超代数 Uq(osp(2r+1|2s)(1)) 和 Uq(osp(2r|2s)(1))(以及它们的扬子对应物、Y(osp(2r+1|2s))和 Y(osp(2r|2s)))作为与 Uq(gl(M|N)(1) 相关的还原(一种折叠)。特别是,我们重现了之前提出的对称或反对称表示的 T 函数的生成函数(差算子),以及正交超代数的更一般表示的 tableau 和表达式[2], [3],并得到了它们的 Wronskian 型表达式(Weyl 型特征公式的类似物)。自旋表示的 T 函数与 Uq(gl(M|N)(1) 典型表示的渐近极限的 T 函数的还原有关。)
{"title":"Folding QQ-relations and transfer matrix eigenvalues: Towards a unified approach to Bethe ansatz for super spin chains","authors":"Zengo Tsuboi","doi":"10.1016/j.nuclphysb.2024.116607","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116607","url":null,"abstract":"<div><p>Extending the method proposed in <span>[1]</span>, we derive QQ-relations (functional relations among Baxter Q-functions) and T-functions (eigenvalues of transfer matrices) for fusion vertex models associated with the twisted quantum affine superalgebras <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>g</mi><mi>l</mi><msup><mrow><mo>(</mo><mn>2</mn><mi>r</mi><mo>+</mo><mn>1</mn><mo>|</mo><mn>2</mn><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msup><mo>)</mo></math></span>, <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>g</mi><mi>l</mi><msup><mrow><mo>(</mo><mn>2</mn><mi>r</mi><mo>|</mo><mn>2</mn><mi>s</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msup><mo>)</mo></math></span>, <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>g</mi><mi>l</mi><msup><mrow><mo>(</mo><mn>2</mn><mi>r</mi><mo>|</mo><mn>2</mn><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msup><mo>)</mo></math></span>, <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>o</mi><mi>s</mi><mi>p</mi><msup><mrow><mo>(</mo><mn>2</mn><mi>r</mi><mo>|</mo><mn>2</mn><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msup><mo>)</mo></math></span> and the untwisted quantum affine orthosymplectic superalgebras <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>o</mi><mi>s</mi><mi>p</mi><msup><mrow><mo>(</mo><mn>2</mn><mi>r</mi><mo>+</mo><mn>1</mn><mo>|</mo><mn>2</mn><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>)</mo></math></span> and <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>o</mi><mi>s</mi><mi>p</mi><msup><mrow><mo>(</mo><mn>2</mn><mi>r</mi><mo>|</mo><mn>2</mn><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>)</mo></math></span> (and their Yangian counterparts, <span><math><mi>Y</mi><mo>(</mo><mi>o</mi><mi>s</mi><mi>p</mi><mo>(</mo><mn>2</mn><mi>r</mi><mo>+</mo><mn>1</mn><mo>|</mo><mn>2</mn><mi>s</mi><mo>)</mo><mo>)</mo></math></span> and <span><math><mi>Y</mi><mo>(</mo><mi>o</mi><mi>s</mi><mi>p</mi><mo>(</mo><mn>2</mn><mi>r</mi><mo>|</mo><mn>2</mn><mi>s</mi><mo>)</mo><mo>)</mo></math></span>) as reductions (a kind of folding) of those associated with <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>(</mo><mi>g</mi><mi>l</mi><msup><mrow><mo>(</mo><mi>M</mi><mo>|</mo><mi>N</mi><mo>)</mo></mrow><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>)</mo></math></span>. In particular, we reproduce previously proposed generating functions (difference operators) of the T-functions for the symmetric or anti-symmetric representations, and tableau sum expressions for more general representations for orthosymplectic superalgebras <span>[2]</span>, <span>[3]</span>, and obtain Wron","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001731/pdfft?md5=8f0810bbf48438f7e9676c0e0e0c4b90&pid=1-s2.0-S0550321324001731-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141543682","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 : 2024-06-27DOI: 10.1016/j.nuclphysb.2024.116610
M.J. Martins
In this paper we investigate a correspondence among spin and vertex models with the same number of local states on the square lattice with toroidal boundary conditions. We argue that the partition functions of an arbitrary n-state spin model and of a certain specific n-state vertex model coincide for finite lattice sizes. The equivalent vertex model has non-null Boltzmann weights and their relationship with the edge weights of the spin model is explicitly presented. In particular, the Ising model in a magnetic field is mapped to an eight-vertex model whose weights configurations combine both even and odd number of incoming and outcoming arrows at a vertex. We have studied the Yang-Baxter algebra for such mixed eight-vertex model when the weights are invariant under arrows reversing. We find that while the Lax operator lie on the same elliptic curve of the even eight-vertex model the respective R-matrix can not be presented in terms of the difference of two rapidities. We also argue that the spin-vertex equivalence may be used to imbed an integrable spin model in the realm of the quantum inverse scattering framework. As an example, we show how to determine the R-matrix of the 27-vertex model equivalent to a three-state spin model devised by Fateev and Zamolodchikov.
在本文中,我们研究了在具有环形边界条件的方形晶格上具有相同数目局部态的自旋模型和顶点模型之间的对应关系。我们认为,在有限晶格尺寸下,任意 n 态自旋模型和特定 n 态顶点模型的分割函数是重合的。等效顶点模型有 n3 个非空玻尔兹曼权重,它们与自旋模型边权重的关系被明确提出。特别是,磁场中的伊辛模型被映射为一个八顶点模型,其权重配置结合了顶点的偶数和奇数进出箭头。我们研究了这种混合八顶点模型的杨-巴克斯特(Yang-Baxter)代数,当权重在箭头反转时是不变的。我们发现,虽然拉克斯算子位于偶数八顶点模型的同一椭圆曲线上,但各自的 R 矩阵不能用两个快速性的差值来表示。我们还认为,自旋-顶点等价性可用来将可积分自旋模型嵌入量子反向散射框架领域。例如,我们展示了如何确定相当于法捷耶夫和扎莫洛奇科夫设计的三态自旋模型的 27 个顶点模型的 R 矩阵。
{"title":"On the equivalence between n-state spin and vertex models on the square lattice","authors":"M.J. Martins","doi":"10.1016/j.nuclphysb.2024.116610","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116610","url":null,"abstract":"<div><p>In this paper we investigate a correspondence among spin and vertex models with the same number of local states on the square lattice with toroidal boundary conditions. We argue that the partition functions of an arbitrary <em>n</em>-state spin model and of a certain specific <em>n</em>-state vertex model coincide for finite lattice sizes. The equivalent vertex model has <span><math><msup><mrow><mi>n</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> non-null Boltzmann weights and their relationship with the edge weights of the spin model is explicitly presented. In particular, the Ising model in a magnetic field is mapped to an eight-vertex model whose weights configurations combine both even and odd number of incoming and outcoming arrows at a vertex. We have studied the Yang-Baxter algebra for such mixed eight-vertex model when the weights are invariant under arrows reversing. We find that while the Lax operator lie on the same elliptic curve of the even eight-vertex model the respective R-matrix can not be presented in terms of the difference of two rapidities. We also argue that the spin-vertex equivalence may be used to imbed an integrable spin model in the realm of the quantum inverse scattering framework. As an example, we show how to determine the R-matrix of the 27-vertex model equivalent to a three-state spin model devised by Fateev and Zamolodchikov.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001767/pdfft?md5=00b7fe7b2f03a7e24301acdc3346870a&pid=1-s2.0-S0550321324001767-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596077","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 : 2024-06-27DOI: 10.1016/j.nuclphysb.2024.116611
Guang-Liang Li , Junpeng Cao , Yi Qiao , Kun Hao , Wen-Li Yang
In this paper, we studied the exact solution of the invariant quantum spin chain with off-diagonal open boundary condition. We obtain a solution of the reflection equation where the all matrix element of reflection matrix are nonzeros. By using the technique of fusion, we construct the fused transfer matrix and find the closed recursive relations among the transfer matrices. Based on the algebraic analysis, we obtain the eigenvalue of the system and express it as the inhomogeneous relation.
{"title":"Exact solution of the C2(1) quantum spin chain with open boundary condition","authors":"Guang-Liang Li , Junpeng Cao , Yi Qiao , Kun Hao , Wen-Li Yang","doi":"10.1016/j.nuclphysb.2024.116611","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116611","url":null,"abstract":"<div><p>In this paper, we studied the exact solution of the <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></msubsup></math></span> invariant quantum spin chain with off-diagonal open boundary condition. We obtain a solution of the reflection equation where the all matrix element of reflection matrix are nonzeros. By using the technique of fusion, we construct the fused transfer matrix and find the closed recursive relations among the transfer matrices. Based on the algebraic analysis, we obtain the eigenvalue of the system and express it as the inhomogeneous <span><math><mi>T</mi><mo>−</mo><mi>Q</mi></math></span> relation.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001779/pdfft?md5=7ef052ebdf00efd611e10089ba9f9d50&pid=1-s2.0-S0550321324001779-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141543686","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 : 2024-06-27DOI: 10.1016/j.nuclphysb.2024.116609
Ali Imaanpur
We study eleven dimensional supergravity solutions with an factor. By writing metric as an bundle over we derive new supergravity solutions. The solutions, however, are obtained in Euclidean signature and thus are necessarily complex. We also discuss as an bundle over , and observe that the two sets of solutions are related by analytic continuation of the scale factor of the fiber.
{"title":"SU(1,1) and SU(2) bundles on AdS4 and complex supergravity solutions","authors":"Ali Imaanpur","doi":"10.1016/j.nuclphysb.2024.116609","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116609","url":null,"abstract":"<div><p>We study eleven dimensional supergravity solutions with an <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> factor. By writing <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> metric as an <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> bundle over <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> we derive new supergravity solutions. The solutions, however, are obtained in Euclidean signature and thus are necessarily complex. We also discuss <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> as an <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></span> bundle over <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span>, and observe that the two sets of solutions are related by analytic continuation of the scale factor of the fiber.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001755/pdfft?md5=373c922ef1feeae26c7558e4e2e8b258&pid=1-s2.0-S0550321324001755-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141543684","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 : 2024-06-21DOI: 10.1016/j.nuclphysb.2024.116606
F. Barzi , H. El Moumni , K. Masmar
Charged-flat black holes in the Rényi extended phase space demonstrate phase structures akin to those of a van der Waals fluid in four-dimensional spacetime and mirror the behaviors of Reissner-Nordstrom-Anti-de-Sitter black holes within the standard Gibbs-Boltzmann extended phase space. This study delves into the dynamics of states initially positioned within the unstable spinodal region of the phase space associated with the charged-flat black hole when subjected to time-periodic thermal perturbations. Our analysis based on the Mel'nikov method reveals that chaos emerges when the δ parameter surpasses a critical threshold, . This critical quantity is dependent on the black hole charge; notably, a larger value of Q impedes the onset of chaos.
Furthermore, we examine the effects of space-periodic thermal perturbations on its equilibrium state and find that chaos invariably occurs, irrespective of the perturbation amplitude. Hence, the chaotic dynamics observed in the analysis of charged-flat black holes under Rényi statistics exhibit resemblances to those of asymptotically AdS-charged black holes investigated via the Gibbs-Boltzmann formalism. This serves as yet another example of a potential and significant connection between the cosmological constant and the nonextensivity Rényi parameter.
{"title":"Thermal chaos of charged-flat black hole via Rényi formalism","authors":"F. Barzi , H. El Moumni , K. Masmar","doi":"10.1016/j.nuclphysb.2024.116606","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116606","url":null,"abstract":"<div><p>Charged-flat black holes in the Rényi extended phase space demonstrate phase structures akin to those of a van der Waals fluid in four-dimensional spacetime and mirror the behaviors of Reissner-Nordstrom-Anti-de-Sitter black holes within the standard Gibbs-Boltzmann extended phase space. This study delves into the dynamics of states initially positioned within the unstable spinodal region of the phase space associated with the charged-flat black hole when subjected to time-periodic thermal perturbations. Our analysis based on the Mel'nikov method reveals that chaos emerges when the <em>δ</em> parameter surpasses a critical threshold, <span><math><msub><mrow><mi>δ</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. This critical quantity is dependent on the black hole charge; notably, a larger value of <em>Q</em> impedes the onset of chaos.</p><p>Furthermore, we examine the effects of space-periodic thermal perturbations on its equilibrium state and find that chaos invariably occurs, irrespective of the perturbation amplitude. Hence, the chaotic dynamics observed in the analysis of charged-flat black holes under Rényi statistics exhibit resemblances to those of asymptotically AdS-charged black holes investigated via the Gibbs-Boltzmann formalism. This serves as yet another example of a potential and significant connection between the cosmological constant and the nonextensivity Rényi parameter.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S055032132400172X/pdfft?md5=02c82770c800638a55f31d176071c602&pid=1-s2.0-S055032132400172X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141486375","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 : 2024-06-20DOI: 10.1016/j.nuclphysb.2024.116594
M.V. Smirnov , G. Yang , Yu.N. Novikov , J.D. Vergados , D. Bonatsos
The direct detection of dark matter constituents, in particular the weakly interacting massive particles (WIMPs), is central to particle physics and cosmology. In this paper we study WIMP induced transitions from isomeric nuclear states for two possible isomeric candidates: and . The experimental setup, which can measure the possible decay of induced by WIMPs, was proposed. The corresponding estimates of the half-life of are given in the sense that the WIMP-nucleon interaction can be interpreted as ordinary radioactive decay.
{"title":"Direct WIMP detection rates for transitions in isomeric nuclei","authors":"M.V. Smirnov , G. Yang , Yu.N. Novikov , J.D. Vergados , D. Bonatsos","doi":"10.1016/j.nuclphysb.2024.116594","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116594","url":null,"abstract":"<div><p>The direct detection of dark matter constituents, in particular the weakly interacting massive particles (WIMPs), is central to particle physics and cosmology. In this paper we study WIMP induced transitions from isomeric nuclear states for two possible isomeric candidates: <span><math><mmultiscripts><mrow><mi>Ta</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>180</mn></mrow></mmultiscripts></math></span> and <span><math><mmultiscripts><mrow><mi>Ho</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>166</mn></mrow></mmultiscripts></math></span>. The experimental setup, which can measure the possible decay of <span><math><mmultiscripts><mrow><mi>Ta</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>180</mn></mrow></mmultiscripts></math></span> induced by WIMPs, was proposed. The corresponding estimates of the half-life of <span><math><mmultiscripts><mrow><mi>Ta</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>180</mn></mrow></mmultiscripts></math></span> are given in the sense that the WIMP-nucleon interaction can be interpreted as ordinary radioactive decay.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001603/pdfft?md5=8f859bce67397847e926e68a24ac9e90&pid=1-s2.0-S0550321324001603-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141439124","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 : 2024-06-18DOI: 10.1016/j.nuclphysb.2024.116598
Md Khalid Hossain , Keita Takizawa , Anikul Islam , Shyam Das , Farook Rahaman
Spacetime singularity is not observed directly as it is covered by event horizon. Naked singularities may be formed due to gravitational collapse without an event horizon. Therefore, cosmic censorship conjecture entails advanced ascertainment. Recently, Joshi et al. have discovered a naked singularity solution (known as JMN naked singularity), which emerges from the dynamical gravitational collapse of a massive matter cloud. Since several studies are needed to know more extra characteristics that may help to test cosmic censorship conjecture in general relativity, therefore, we thought it is pertinent to study the deflection of massive particles by the naked singularity. We shall examine massive particles paths and deflection angles near naked singularities in this research. To get the deflection angle, we employ the Gauss-Bonet technique and the Rindler-Ishak method. The results of the two procedures are compared in detail.
{"title":"Gravitational deflection of massive body around naked singularity","authors":"Md Khalid Hossain , Keita Takizawa , Anikul Islam , Shyam Das , Farook Rahaman","doi":"10.1016/j.nuclphysb.2024.116598","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116598","url":null,"abstract":"<div><p>Spacetime singularity is not observed directly as it is covered by event horizon. Naked singularities may be formed due to gravitational collapse without an event horizon. Therefore, cosmic censorship conjecture entails advanced ascertainment. Recently, Joshi et al. have discovered a naked singularity solution (known as JMN naked singularity), which emerges from the dynamical gravitational collapse of a massive matter cloud. Since several studies are needed to know more extra characteristics that may help to test cosmic censorship conjecture in general relativity, therefore, we thought it is pertinent to study the deflection of massive particles by the naked singularity. We shall examine massive particles paths and deflection angles near naked singularities in this research. To get the deflection angle, we employ the Gauss-Bonet technique and the Rindler-Ishak method. The results of the two procedures are compared in detail.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001640/pdfft?md5=1c33f4275c1e8b71879d318d60b1d382&pid=1-s2.0-S0550321324001640-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141439125","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 : 2024-06-17DOI: 10.1016/j.nuclphysb.2024.116603
Çağın Kamışcıoğlu
In this study, the charged particle multiplicity distribution produced in anti-neutrino and neutrino-nuclear emulsion interactions is studied in terms of negative binomial distribution in varying invariant mass of the hadronic system intervals for the first time. Many articles have shown that the negative binomial distribution is very useful in describing and interpreting the multiplicity of experimental data in the literature. For this reason, a similar study is conducted on neutrino and anti-neutrino interactions to better understand the particle production mechanism. Experimental data for the analysis are obtained from the CHORUS Collaboration paper on the production of charged particles in anti-neutrino and neutrino-nuclear emulsion interactions at high energy. For multiplicity distributions of both interactions, the invariant mass of the hadronic system intervals is defined as given in the CHORUS Collaboration article. Then the negative binomial fit is applied to the experimental data for each energy range. In terms of chi-square values for both interactions, a good agreement has been observed between the experimental data and their fit in each energy range. The results of applied fits are shown through figures and tables, presenting the obtained chi-square values, free parameters, and their energy dependence.
{"title":"Study of negative binomial distribution in neutrino and anti-neutrino–nucleus interactions of CHORUS experiment","authors":"Çağın Kamışcıoğlu","doi":"10.1016/j.nuclphysb.2024.116603","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116603","url":null,"abstract":"<div><p>In this study, the charged particle multiplicity distribution produced in anti-neutrino and neutrino-nuclear emulsion interactions is studied in terms of negative binomial distribution in varying invariant mass of the hadronic system intervals for the first time. Many articles have shown that the negative binomial distribution is very useful in describing and interpreting the multiplicity of experimental data in the literature. For this reason, a similar study is conducted on neutrino and anti-neutrino interactions to better understand the particle production mechanism. Experimental data for the analysis are obtained from the CHORUS Collaboration paper on the production of charged particles in anti-neutrino and neutrino-nuclear emulsion interactions at high energy. For multiplicity distributions of both interactions, the invariant mass of the hadronic system intervals is defined as given in the CHORUS Collaboration article. Then the negative binomial fit is applied to the experimental data for each energy range. In terms of chi-square values for both interactions, a good agreement has been observed between the experimental data and their fit in each energy range. The results of applied fits are shown through figures and tables, presenting the obtained chi-square values, free parameters, and their energy dependence.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S055032132400169X/pdfft?md5=32ba3be8935f5b9a7dc78aef6e632b86&pid=1-s2.0-S055032132400169X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141434115","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 : 2024-06-17DOI: 10.1016/j.nuclphysb.2024.116592
H. Amarkhail , S.C. İnan , A.V. Kisselev
We have studied anomalous four-photon couplings in the scattering at a future muon collider. The collision energies of 3 TeV, 14 TeV, and 100 TeV are addressed. Both differential and total cross sections versus invariant mass of the outgoing photons are calculated. The best 95% C.L. exclusion bounds on anomalous couplings are obtained to be TeV−4 and TeV−4. They correspond to the muon collision energy of 100 TeV. The partial-wave unitary constraints on and are examined. We have demonstrated that the unitarity is not violated in a region of the anomalous couplings obtained in the present paper.
我们在未来的μ子对撞机上研究了μ+μ-→μ+γγμ-散射中的反常四光子耦合。对撞能量分别为 3 TeV、14 TeV 和 100 TeV。计算了出射光子的微分截面和总截面与不变质量的关系。得到的关于反常耦合的最佳95% C.L.排除边界为g1=2.23×10-8 TeV-4和g2=4.22×10-8 TeV-4。它们对应于 100 TeV 的μ介子碰撞能量。我们研究了对 g1 和 g2 的部分波单元约束。我们已经证明,在本文得到的反常耦合区域内,单元性并没有被违反。
{"title":"Probing anomalous γγγγ couplings at a future muon collider","authors":"H. Amarkhail , S.C. İnan , A.V. Kisselev","doi":"10.1016/j.nuclphysb.2024.116592","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116592","url":null,"abstract":"<div><p>We have studied anomalous four-photon couplings in the <span><math><msup><mrow><mi>μ</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>μ</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>→</mo><msup><mrow><mi>μ</mi></mrow><mrow><mo>+</mo></mrow></msup><mi>γ</mi><mi>γ</mi><msup><mrow><mi>μ</mi></mrow><mrow><mo>−</mo></mrow></msup></math></span> scattering at a future muon collider. The collision energies of 3 TeV, 14 TeV, and 100 TeV are addressed. Both differential and total cross sections versus invariant mass of the outgoing photons are calculated. The best 95% C.L. exclusion bounds on anomalous couplings are obtained to be <span><math><msub><mrow><mi>g</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>=</mo><mn>2.23</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup></math></span> TeV<sup>−4</sup> and <span><math><msub><mrow><mi>g</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>=</mo><mn>4.22</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup></math></span> TeV<sup>−4</sup>. They correspond to the muon collision energy of 100 TeV. The partial-wave unitary constraints on <span><math><msub><mrow><mi>g</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>g</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> are examined. We have demonstrated that the unitarity is not violated in a region of the anomalous couplings obtained in the present paper.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001585/pdfft?md5=c306213f374a6f6f455e493041a8b6f0&pid=1-s2.0-S0550321324001585-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141428811","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 : 2024-06-14DOI: 10.1016/j.nuclphysb.2024.116604
Taro Kimura , Norton Lee
We study the integrability and the Bethe/Gauge correspondence of the Generalized Calogero-Moser system proposed by Berntson, Langmann and Lenells [1] which we call the elliptic quadruple Calogero-Moser system (eqCM). We write down the Dunkl operators which give commuting Hamiltonians of the quantum integrable system. We identify the gauge theory in correspondence is a supergroup version of the gauge origami, from which we construct the transfer matrix of the eqCM system.
{"title":"Generalized Calogero-Moser system and supergroup gauge origami","authors":"Taro Kimura , Norton Lee","doi":"10.1016/j.nuclphysb.2024.116604","DOIUrl":"https://doi.org/10.1016/j.nuclphysb.2024.116604","url":null,"abstract":"<div><p>We study the integrability and the Bethe/Gauge correspondence of the Generalized Calogero-Moser system proposed by Berntson, Langmann and Lenells <span>[1]</span> which we call the elliptic quadruple Calogero-Moser system (eqCM). We write down the Dunkl operators which give commuting Hamiltonians of the quantum integrable system. We identify the gauge theory in correspondence is a supergroup version of the gauge origami, from which we construct the transfer matrix of the eqCM system.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001706/pdfft?md5=93051b73d0fe45506dceea1e2e398aef&pid=1-s2.0-S0550321324001706-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141424355","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}