Pub Date : 2024-11-16DOI: 10.1016/j.aop.2024.169849
Isaac H. Kim , Xiang Li , Ting-Chun Lin , John McGreevy , Bowen Shi
Chiral edges of 2+1D systems can have very robust emergent conformal symmetry. When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a representation of a single Virasoro algebra. We propose a method to systematically extract the generators of the Virasoro algebra from a single ground state wavefunction, using entanglement bootstrap and an input from the edge conformal field theory. We corroborate our construction by numerically verifying the commutation relations of the generators. We also study the unitary flows generated by these operators, whose properties (such as energy and state overlap) are shown numerically to agree with our analytical predictions.
{"title":"Chiral Virasoro algebra from a single wavefunction","authors":"Isaac H. Kim , Xiang Li , Ting-Chun Lin , John McGreevy , Bowen Shi","doi":"10.1016/j.aop.2024.169849","DOIUrl":"10.1016/j.aop.2024.169849","url":null,"abstract":"<div><div>Chiral edges of 2+1D systems can have very robust emergent conformal symmetry. When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a representation of a single Virasoro algebra. We propose a method to systematically extract the generators of the Virasoro algebra from a single ground state wavefunction, using entanglement bootstrap and an input from the edge conformal field theory. We corroborate our construction by numerically verifying the commutation relations of the generators. We also study the unitary flows generated by these operators, whose properties (such as energy and state overlap) are shown numerically to agree with our analytical predictions.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169849"},"PeriodicalIF":3.0,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142704768","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 : 2024-11-16DOI: 10.1016/j.aop.2024.169855
Bence Juhász , László Árpád Gergely
We extend a previously successful discussion of the constrained Schrödinger system through the Dirac–Bergmann algorithm to the case of the Dirac field. In order to follow the analogy, first we discuss the classical Dirac field as a spinorial variable, by introducing properly defined momenta and a suitably modified, factor ordered Poisson bracket. According to the Dirac–Bergmann algorithm two second class Hamiltonian constraints emerge, leading to a factor ordered Dirac bracket on the full phase space. This becomes the Poisson bracket on the reduced phase space in the canonical chart adapted to the shell. The Dirac equation is recovered both as consistency condition on the full phase space and as canonical equation on the reduced phase space. Alternatively, considering the Dirac field as odd Grassmann variable, we present the details of the Dirac–Bergmann algorithm (with either left and right derivatives acting on Grassmann valued superfunctions and involving a different type of generalized Poisson and Dirac brackets). We propose a recipe for the canonical second quantization of all three versions of the generalized Dirac brackets, yielding the correct fundamental anticommutator.
{"title":"On Hamiltonian formulations of the Dirac system","authors":"Bence Juhász , László Árpád Gergely","doi":"10.1016/j.aop.2024.169855","DOIUrl":"10.1016/j.aop.2024.169855","url":null,"abstract":"<div><div>We extend a previously successful discussion of the constrained Schrödinger system through the Dirac–Bergmann algorithm to the case of the Dirac field. In order to follow the analogy, first we discuss the classical Dirac field as a spinorial variable, by introducing properly defined momenta and a suitably modified, factor ordered Poisson bracket. According to the Dirac–Bergmann algorithm two second class Hamiltonian constraints emerge, leading to a factor ordered Dirac bracket on the full phase space. This becomes the Poisson bracket on the reduced phase space in the canonical chart adapted to the shell. The Dirac equation is recovered both as consistency condition on the full phase space and as canonical equation on the reduced phase space. Alternatively, considering the Dirac field as odd Grassmann variable, we present the details of the Dirac–Bergmann algorithm (with either left and right derivatives acting on Grassmann valued superfunctions and involving a different type of generalized Poisson and Dirac brackets). We propose a recipe for the canonical second quantization of all three versions of the generalized Dirac brackets, yielding the correct fundamental anticommutator.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"472 ","pages":"Article 169855"},"PeriodicalIF":3.0,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-11-12DOI: 10.1016/j.aop.2024.169841
C.D. Fosco, G. Hansen
We study pair creation out of the vacuum, for a system consisting of a massive Dirac field in dimensions, contained between a pair of perfectly reflecting boundaries, one of them oscillating. After analyzing some general properties of the vacuum-decay process, we evaluate the corresponding transition amplitude in a Magnus expansion of the -matrix. We show how this yields, besides the single-pair creation amplitude, multipair ones, as well as corrections to the single pair amplitude.
We also apply it to obtain an approximate, yet explicitly unitary expression for the Bogoliubov transformation between the in and out Fock spaces.
我们研究了一个由 1+1 维的大质量狄拉克场组成的系统，该系统包含在一对完美反射边界之间，其中一个边界在振荡。在分析了真空衰变过程的一些一般性质之后，我们评估了 S 矩阵的马格努斯展开中相应的过渡振幅。我们还利用它得到了进出福克空间之间博格柳波夫变换的近似但明确的单位表达式。
{"title":"Fermionic dynamical Casimir effect: Magnus expansion","authors":"C.D. Fosco, G. Hansen","doi":"10.1016/j.aop.2024.169841","DOIUrl":"10.1016/j.aop.2024.169841","url":null,"abstract":"<div><div>We study pair creation out of the vacuum, for a system consisting of a massive Dirac field in <span><math><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions, contained between a pair of perfectly reflecting boundaries, one of them oscillating. After analyzing some general properties of the vacuum-decay process, we evaluate the corresponding transition amplitude in a Magnus expansion of the <span><math><mi>S</mi></math></span>-matrix. We show how this yields, besides the single-pair creation amplitude, multipair ones, as well as corrections to the single pair amplitude.</div><div>We also apply it to obtain an approximate, yet explicitly unitary expression for the Bogoliubov transformation between the <em>in</em> and <em>out</em> Fock spaces.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169841"},"PeriodicalIF":3.0,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-11-12DOI: 10.1016/j.aop.2024.169848
Zixuan Ding , Donghao Wang , Liangliang Lu , Mengyao Li , Yongchun Tao , Fengliang Huang
We theoretically study the Josephson effect of massive pseudospin-1 fermions in a superconductor/ferromagnet/superconductor (S/F/S) junction based on the dice lattice, including - and -type mass terms with the magnitude . For the -type fermions, it is found that, in the absence of ferromagnetic exchange field , the supercurrent is effectively inhibited by or the junction length . In the presence of , state transition can be realized by modulating , , or . The -induced state transition occurs more frequently for a larger or . Particularly, the inhibition of supercurrent caused by still remains for a large . In the doping case, corresponding to a nonzero , the -induced state transition may disappear for a large or . With increased, the inhibition caused by diminishes for a small whereas intensifies for a large . In addition, the supercurrent features for the -type fermions distinct from those for the -type fermions are demonstrated.
我们从理论上研究了基于骰子晶格的超导体/铁磁体/超导体（S/F/S）结中大质量伪ospin-1费米子的约瑟夫森效应，其中包括量级为m的Sz型和+U型质量项。研究发现，对于Sz型费米子，在没有铁磁交换场h的情况下，超电流会受到m或结长度L的有效抑制。在掺杂的情况下，对应于非零 EF，m 诱导的状态转变可能会在较大的 h 或 L 下消失。随着 EF 的增加，m 导致的抑制作用在较小的 h 下减弱，而在较大的 h 下增强。
{"title":"Josephson effect of massive pseudospin-1 fermions in the ferromagnetic dice lattice","authors":"Zixuan Ding , Donghao Wang , Liangliang Lu , Mengyao Li , Yongchun Tao , Fengliang Huang","doi":"10.1016/j.aop.2024.169848","DOIUrl":"10.1016/j.aop.2024.169848","url":null,"abstract":"<div><div>We theoretically study the Josephson effect of massive pseudospin-1 fermions in a superconductor/ferromagnet/superconductor (S/F/S) junction based on the dice lattice, including <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>z</mi></mrow></msub></math></span>- and <span><math><mrow><mo>+</mo><mi>U</mi></mrow></math></span>-type mass terms with the magnitude <span><math><mi>m</mi></math></span>. For the <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>z</mi></mrow></msub></math></span>-type fermions, it is found that, in the absence of ferromagnetic exchange field <span><math><mi>h</mi></math></span>, the supercurrent is effectively inhibited by <span><math><mi>m</mi></math></span> or the junction length <span><math><mi>L</mi></math></span>. In the presence of <span><math><mi>h</mi></math></span>, <span><math><mrow><mn>0</mn><mo>−</mo><mi>π</mi></mrow></math></span> state transition can be realized by modulating <span><math><mi>h</mi></math></span>, <span><math><mi>m</mi></math></span>, or <span><math><mi>L</mi></math></span>. The <span><math><mi>m</mi></math></span>-induced state transition occurs more frequently for a larger <span><math><mi>h</mi></math></span> or <span><math><mi>L</mi></math></span>. Particularly, the inhibition of supercurrent caused by <span><math><mi>m</mi></math></span> still remains for a large <span><math><mi>m</mi></math></span>. In the doping case, corresponding to a nonzero <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>F</mi></mrow></msub></math></span>, the <span><math><mi>m</mi></math></span>-induced state transition may disappear for a large <span><math><mi>h</mi></math></span> or <span><math><mi>L</mi></math></span>. With <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>F</mi></mrow></msub></math></span> increased, the inhibition caused by <span><math><mi>m</mi></math></span> diminishes for a small <span><math><mi>h</mi></math></span> whereas intensifies for a large <span><math><mi>h</mi></math></span>. In addition, the supercurrent features for the <span><math><mrow><mo>+</mo><mi>U</mi></mrow></math></span>-type fermions distinct from those for the <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>z</mi></mrow></msub></math></span>-type fermions are demonstrated.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169848"},"PeriodicalIF":3.0,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-11-12DOI: 10.1016/j.aop.2024.169840
Matteo F. Bontorno , G.G.N. Angilella , Dario Zappalà
The phase structure of a higher-derivative sine–Gordon model in four dimensions is analyzed. It is shown that the inclusion of a relevant two-derivative term in the action significantly modifies some of the results obtained by neglecting this operator, and the final picture is substantially different from the one describing the phase diagram associated with the two-dimensional Berezinskii–Kosterlitz–Thouless (BKT) transition. The study is carried out with the help of the Renormalization Group (RG) flow equations, determined for a set of three parameters, and numerically solved both for a truncated series expansion approximation, and for the complete set of equations. In both cases, a continuous line of fixed points, terminating at a particular point presenting universal properties, is found, together with a manifold that separates two phases, roughly characterized by the sign of the coupling associated with this newly included operator. While the phase corresponding to shows some pathologies, the one with has a well-behaved infrared limit, where the system reduces to a Gaussian-like model. We also briefly comment about the possibility that our model could capture some of the qualitative features of the ultraviolet (UV) critical manifold of conformally reduced gravity.
{"title":"Higher-derivative four-dimensional sine–Gordon model","authors":"Matteo F. Bontorno , G.G.N. Angilella , Dario Zappalà","doi":"10.1016/j.aop.2024.169840","DOIUrl":"10.1016/j.aop.2024.169840","url":null,"abstract":"<div><div>The phase structure of a higher-derivative sine–Gordon model in four dimensions is analyzed. It is shown that the inclusion of a relevant two-derivative term in the action significantly modifies some of the results obtained by neglecting this operator, and the final picture is substantially different from the one describing the phase diagram associated with the two-dimensional Berezinskii–Kosterlitz–Thouless (BKT) transition. The study is carried out with the help of the Renormalization Group (RG) flow equations, determined for a set of three parameters, and numerically solved both for a truncated series expansion approximation, and for the complete set of equations. In both cases, a continuous line of fixed points, terminating at a particular point presenting universal properties, is found, together with a manifold that separates two phases, roughly characterized by the sign of the coupling <span><math><msub><mrow><mover><mrow><mi>z</mi></mrow><mrow><mo>˜</mo></mrow></mover></mrow><mrow><mi>k</mi></mrow></msub></math></span> associated with this newly included operator. While the phase corresponding to <span><math><mrow><msub><mrow><mover><mrow><mi>z</mi></mrow><mrow><mo>˜</mo></mrow></mover></mrow><mrow><mi>k</mi></mrow></msub><mo>></mo><mn>0</mn></mrow></math></span> shows some pathologies, the one with <span><math><mrow><msub><mrow><mover><mrow><mi>z</mi></mrow><mrow><mo>˜</mo></mrow></mover></mrow><mrow><mi>k</mi></mrow></msub><mo><</mo><mn>0</mn></mrow></math></span> has a well-behaved infrared limit, where the system reduces to a Gaussian-like model. We also briefly comment about the possibility that our model could capture some of the qualitative features of the ultraviolet (UV) critical manifold of conformally reduced gravity.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169840"},"PeriodicalIF":3.0,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142704766","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 : 2024-11-12DOI: 10.1016/j.aop.2024.169839
Denis Nikolaevich Sob’yanin (Денис Николаевич Собьянин)
Analytically solving the magnetostatic Maxwell equations in the bispherical coordinates, we calculate the magnetic field around two uniformly magnetized spheres oriented so that their magnetic moments are parallel to the axis passing through the centers of the spheres. We demonstrate that, contrary to what is often claimed in the literature, the magnetic interaction between such spheres is not equivalent to the interaction between two point magnetic dipoles placed in the centers of the spheres. The nonzero levitation force acting on a uniformly magnetized sphere or a point magnetic dipole above a superconducting sphere in the ideal Meissner state is a clear manifestation of the non-equivalence.
{"title":"Nondipole interaction between two uniformly magnetized spheres and its relation to superconducting levitation","authors":"Denis Nikolaevich Sob’yanin (Денис Николаевич Собьянин)","doi":"10.1016/j.aop.2024.169839","DOIUrl":"10.1016/j.aop.2024.169839","url":null,"abstract":"<div><div>Analytically solving the magnetostatic Maxwell equations in the bispherical coordinates, we calculate the magnetic field around two uniformly magnetized spheres oriented so that their magnetic moments are parallel to the axis passing through the centers of the spheres. We demonstrate that, contrary to what is often claimed in the literature, the magnetic interaction between such spheres is not equivalent to the interaction between two point magnetic dipoles placed in the centers of the spheres. The nonzero levitation force acting on a uniformly magnetized sphere or a point magnetic dipole above a superconducting sphere in the ideal Meissner state is a clear manifestation of the non-equivalence.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169839"},"PeriodicalIF":3.0,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142704767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-11-08DOI: 10.1016/j.aop.2024.169837
Shuai Li , Rui Tian , Min Liu , Maksims Arzamasovs , Liangchao Chen , Bo Liu
A five-level M-type scheme in atomic ensembles is proposed to generate a one-dimensional bipartite superradiance lattice in momentum space. By taking advantage of this tunable atomic system, we show that various types of Su-Schrieffer-Heeger (SSH) model, including the standard SSH and extended SSH model, can be realized. Interestingly, it is shown that through changing the Rabi frequencies and detunings in our proposed scheme, there is a topological phase transition from topological trivial regime with winding number being 0 to topological non-trivial regime with winding number being 2. Furthermore, a robust flat band with higher winding number (being 2) can be achieved in the above topological non-trivial regime, where the superradiance spectra can be utilized as a tool for experimental detection. Our proposal would provide a promising approach to explore new physics, such as fractional topological phases, in the flat bands with higher topological number.
{"title":"Topological flat band with higher winding number in a superradiance lattice","authors":"Shuai Li , Rui Tian , Min Liu , Maksims Arzamasovs , Liangchao Chen , Bo Liu","doi":"10.1016/j.aop.2024.169837","DOIUrl":"10.1016/j.aop.2024.169837","url":null,"abstract":"<div><div>A five-level M-type scheme in atomic ensembles is proposed to generate a one-dimensional bipartite superradiance lattice in momentum space. By taking advantage of this tunable atomic system, we show that various types of Su-Schrieffer-Heeger (SSH) model, including the standard SSH and extended SSH model, can be realized. Interestingly, it is shown that through changing the Rabi frequencies and detunings in our proposed scheme, there is a topological phase transition from topological trivial regime with winding number being 0 to topological non-trivial regime with winding number being 2. Furthermore, a robust flat band with higher winding number (being 2) can be achieved in the above topological non-trivial regime, where the superradiance spectra can be utilized as a tool for experimental detection. Our proposal would provide a promising approach to explore new physics, such as fractional topological phases, in the flat bands with higher topological number.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169837"},"PeriodicalIF":3.0,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-11-07DOI: 10.1016/j.aop.2024.169838
Abolfath Hosseinzadeh , S.A. Jafari
We use Boltzmann theory to study the semi-classical dynamics of electrons in a two-dimensional (2D) tilted Dirac material in which the tilt varies in space. The spatial variation of the tilt parameter induces a non-trivial spacetime geometry on the background of which the electrons roam about. As the first manifestation of gravito-electric phenomena, we find a geometric planar Hall effect according to which a current flows in a direction transverse to the chemical potential gradient and is proportional to component of the emergent spacetime structure. The longitudinal conductivity contains information about the gravitational red-shift factors. Furthermore, in the absence of externally applied electric field there can be “free-fall” or zero-bias currents that can be used as detectors of terahertz radiation.
{"title":"Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt","authors":"Abolfath Hosseinzadeh , S.A. Jafari","doi":"10.1016/j.aop.2024.169838","DOIUrl":"10.1016/j.aop.2024.169838","url":null,"abstract":"<div><div>We use Boltzmann theory to study the semi-classical dynamics of electrons in a two-dimensional (2D) tilted Dirac material in which the tilt varies in space. The spatial variation of the tilt parameter induces a non-trivial spacetime geometry on the background of which the electrons roam about. As the first manifestation of gravito-electric phenomena, we find a geometric planar Hall effect according to which a current flows in a direction transverse to the chemical potential gradient and is proportional to <span><math><msup><mrow><mi>g</mi></mrow><mrow><mi>x</mi><mi>y</mi></mrow></msup></math></span> component of the emergent spacetime structure. The longitudinal conductivity contains information about the gravitational red-shift factors. Furthermore, in the absence of externally applied electric field there can be “free-fall” or zero-bias currents that can be used as detectors of terahertz radiation.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169838"},"PeriodicalIF":3.0,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651358","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 : 2024-11-05DOI: 10.1016/j.aop.2024.169836
S. Viaggiu
In this paper we continue investigations concerning the physical nature of the black hole entropy. In particular, in order to depict massless excitations (gravitons) leading to the one-quarter entropy area law, we use a mechanical statistical approach. As a first result, we obtain that, starting with a radiation field, we cannot exactly obtain the one-quarter factor in entropy area law. In the aforementioned framework, the correct black hole entropy is obtained only in the case where the internal temperature , proportional to the Bekenstein-Hawking one, is such that . As a consequence, according to other similar proposals in the literature, only a kind of Bose–Einstein condensate (BEC) can exactly support the black hole entropy.
{"title":"The fate for the interior content of a Black Hole from one-quarter entropy area-law","authors":"S. Viaggiu","doi":"10.1016/j.aop.2024.169836","DOIUrl":"10.1016/j.aop.2024.169836","url":null,"abstract":"<div><div>In this paper we continue investigations concerning the physical nature of the black hole entropy. In particular, in order to depict massless excitations (gravitons) leading to the one-quarter entropy area law, we use a mechanical statistical approach. As a first result, we obtain that, starting with a radiation field, we cannot exactly obtain the one-quarter factor in entropy area law. In the aforementioned framework, the correct black hole entropy is obtained only in the case where the internal temperature <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span>, proportional to the Bekenstein-Hawking one, is such that <span><math><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>→</mo><mn>0</mn></mrow></math></span>. As a consequence, according to other similar proposals in the literature, only a kind of Bose–Einstein condensate (BEC) can exactly support the black hole entropy.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169836"},"PeriodicalIF":3.0,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-11-05DOI: 10.1016/j.aop.2024.169834
S. Habib Mazharimousavi
This research revisits the thin-shell wormhole connecting two Minkowski spacetimes — originally introduced by Matt Visser. Upon setting a particular timelike hypersurface with a de-sitter-induced line element, the corresponding thin-shell wormhole (TSW) possesses a minimum radius and a uniform surface energy–momentum tensor in the form of dark energy. The bounded from below radius for the throat implies that it does not collapse. The profile curve of the hypersurface is a Catenary in plane where and are the radial coordinate and the proper time on the throat, respectively. It is also shown that while the throat is dynamic, the surface energy–momentum tensor of the dark energy is in the form of an effective cosmological constant in the spherically symmetric TSW. The -dimensional cylindrically symmetric TSW with a similar throat profile shares the same features as its spherical counterpart, however, its uniform surface energy–momentum tensor does not mimic an effective cosmological constant. The higher-dimensional generalization of the spherically symmetric TSW admits the same properties as in the -dimensional one.
{"title":"Thin-shell wormholes with non-collapsing dark energy throats connecting flat Minkowski spacetimes","authors":"S. Habib Mazharimousavi","doi":"10.1016/j.aop.2024.169834","DOIUrl":"10.1016/j.aop.2024.169834","url":null,"abstract":"<div><div>This research revisits the thin-shell wormhole connecting two Minkowski spacetimes — originally introduced by Matt Visser. Upon setting a particular timelike hypersurface with a de-sitter-induced line element, the corresponding thin-shell wormhole (TSW) possesses a minimum radius and a uniform surface energy–momentum tensor in the form of dark energy. <em>The bounded from below radius for the throat implies that it does not collapse.</em> The <span><math><mrow><mi>r</mi><mo>−</mo><mi>τ</mi></mrow></math></span> profile curve of the hypersurface is a Catenary in <span><math><mrow><mi>r</mi><mo>−</mo><mi>τ</mi></mrow></math></span> plane where <span><math><mi>r</mi></math></span> and <span><math><mi>τ</mi></math></span> are the radial coordinate and the proper time on the throat, respectively. It is also shown that while the throat is dynamic, the surface energy–momentum tensor of the dark energy is in the form of an effective cosmological constant in the spherically symmetric TSW. The <span><math><mn>4</mn></math></span>-dimensional cylindrically symmetric TSW with a similar throat profile shares the same features as its spherical counterpart, however, its uniform surface energy–momentum tensor does not mimic an effective cosmological constant. The higher-dimensional generalization of the spherically symmetric TSW admits the same properties as in the <span><math><mn>4</mn></math></span>-dimensional one.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169834"},"PeriodicalIF":3.0,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
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