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The Sine–Gordon QFT in de Sitter spacetime 德西特时空中的辛-戈登 QFT
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-28 DOI: 10.1007/s11005-024-01882-0
Daniela Cadamuro, Markus B. Fröb, Carolina Moreira Ferrera
{"title":"The Sine–Gordon QFT in de Sitter spacetime","authors":"Daniela Cadamuro,&nbsp;Markus B. Fröb,&nbsp;Carolina Moreira Ferrera","doi":"10.1007/s11005-024-01882-0","DOIUrl":"10.1007/s11005-024-01882-0","url":null,"abstract":"<div><p>We consider the massless Sine–Gordon model in de Sitter spacetime, in the regime <span>(beta ^2 &lt; 4 pi )</span> and using the framework of perturbative algebraic quantum field theory. We show that a Fock space representation exists for the free massless field, but that the natural one-parameter family of vacuum-like states breaks the de Sitter boost symmetries. We prove convergence of the perturbative series for the S matrix in this representation and construct the interacting Haag–Kastler net of local algebras from the relative S matrices. We show that the net fulfills isotony, locality and de Sitter covariance (in the algebraic adiabatic limit), even though the states that we consider are not invariant. We furthermore prove convergence of the perturbative series for the interacting field and the vertex operators, and verify that the interacting equation of motion holds.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01882-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736902","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}
引用次数: 0
Ruijsenaars wavefunctions as modular group matrix coefficients 作为模块组矩阵系数的鲁伊塞纳斯波函数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-27 DOI: 10.1007/s11005-024-01881-1
Philippe Di Francesco, Rinat Kedem, Sergey Khoroshkin, Gus Schrader, Alexander Shapiro
{"title":"Ruijsenaars wavefunctions as modular group matrix coefficients","authors":"Philippe Di Francesco,&nbsp;Rinat Kedem,&nbsp;Sergey Khoroshkin,&nbsp;Gus Schrader,&nbsp;Alexander Shapiro","doi":"10.1007/s11005-024-01881-1","DOIUrl":"10.1007/s11005-024-01881-1","url":null,"abstract":"<div><p>We give a description of the Hallnäs–Ruijsenaars eigenfunctions of the 2-particle hyperbolic Ruijsenaars system as matrix coefficients for the order 4 element <span>(Sin SL(2,{mathbb {Z}}))</span> acting on the Hilbert space of <i>GL</i>(2) quantum Teichmüller theory on the punctured torus. The <i>GL</i>(2) Macdonald polynomials are then obtained as special values of the analytic continuation of these matrix coefficients. The main tool used in the proof is the cluster structure on the moduli space of framed <i>GL</i>(2)-local systems on the punctured torus, and an <span>(SL(2,{mathbb {Z}}))</span>-equivariant embedding of the <i>GL</i>(2) spherical DAHA into the quantized coordinate ring of the corresponding cluster Poisson variety.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01881-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736935","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}
引用次数: 0
Two-time measurement of entropy transfer in Markovian quantum dynamics 马尔可夫量子动力学中熵转移的两次测量
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-27 DOI: 10.1007/s11005-024-01880-2
Alain Joye, Claude-Alain Pillet
{"title":"Two-time measurement of entropy transfer in Markovian quantum dynamics","authors":"Alain Joye,&nbsp;Claude-Alain Pillet","doi":"10.1007/s11005-024-01880-2","DOIUrl":"10.1007/s11005-024-01880-2","url":null,"abstract":"<div><p>We consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the Markovian approximation of the time-evolution and relate the expected value of the so defined entropy variations with the well-known expression of entropy production due to Lebowitz and Spohn. We do so under the detailed balance condition and, as a byproduct, we show that the probabilities of outcomes of two-time measurements are given by a continuous time Markov process determined by the Lindblad generator of the Markovian quantum dynamics.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736936","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}
引用次数: 0
Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words 具有累积缺陷的布尔 TQFT、sofic 系统和无限词的自动机
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-26 DOI: 10.1007/s11005-024-01885-x
Paul Gustafson, Mee Seong Im, Mikhail Khovanov
{"title":"Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words","authors":"Paul Gustafson,&nbsp;Mee Seong Im,&nbsp;Mikhail Khovanov","doi":"10.1007/s11005-024-01885-x","DOIUrl":"10.1007/s11005-024-01885-x","url":null,"abstract":"<div><p>Any finite state automaton gives rise to a Boolean one-dimensional TQFT with defects and inner endpoints of cobordisms. This paper extends the correspondence to Boolean TQFTs where defects accumulate towards inner endpoints, relating such TQFTs and topological theories to sofic systems and <span>(omega )</span>-automata.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714200","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}
引用次数: 0
A note on Huisken’s isoperimetric mass 关于惠斯肯等周质量的说明
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-21 DOI: 10.1007/s11005-024-01883-z
Jeffrey L. Jauregui, Dan A. Lee, Ryan Unger
{"title":"A note on Huisken’s isoperimetric mass","authors":"Jeffrey L. Jauregui,&nbsp;Dan A. Lee,&nbsp;Ryan Unger","doi":"10.1007/s11005-024-01883-z","DOIUrl":"10.1007/s11005-024-01883-z","url":null,"abstract":"<div><p>In this short note, we explain that Huisken’s isoperimetric mass is always nonnegative for elementary reasons.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679860","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}
引用次数: 0
Two homomorphisms from the affine Yangian associated with (widehat{mathfrak {sl}}(n)) to the affine Yangian associated with (widehat{mathfrak {sl}}(n+1)) 从与(widehat{mathfrak {sl}}(n)) 相关的仿射杨格到与(widehat{mathfrak {sl}}(n+1)) 相关的仿射杨格的两个同态关系
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-14 DOI: 10.1007/s11005-024-01879-9
Mamoru Ueda
{"title":"Two homomorphisms from the affine Yangian associated with (widehat{mathfrak {sl}}(n)) to the affine Yangian associated with (widehat{mathfrak {sl}}(n+1))","authors":"Mamoru Ueda","doi":"10.1007/s11005-024-01879-9","DOIUrl":"10.1007/s11005-024-01879-9","url":null,"abstract":"<div><p>We construct a homomorphism from the affine Yangian <span>(Y_{hbar ,varepsilon +hbar }(widehat{mathfrak {sl}}(n)))</span> to the affine Yangian <span>(Y_{hbar ,varepsilon }(widehat{mathfrak {sl}}(n+1)))</span> which is different from the one in Ueda (A homomorphism from the affine Yangian <span>(Y_{hbar ,varepsilon }(widehat{mathfrak {sl}}(n)))</span> to the affine Yangian <span>(Y_{hbar ,varepsilon }(widehat{mathfrak {sl}}(n+1)))</span>, 2023. arXiv:2312.09933). By using this homomorphism, we give a homomorphism from <span>(Y_{hbar ,varepsilon }(widehat{mathfrak {sl}}(n))otimes Y_{hbar ,varepsilon +nhbar }(widehat{mathfrak {sl}}(m)))</span> to <span>(Y_{hbar ,varepsilon }(widehat{mathfrak {sl}}(m+n)))</span>. As an application, we construct a homomorphism from the affine Yangian <span>(Y_{hbar ,varepsilon +nhbar }(widehat{mathfrak {sl}}(m)))</span> to the centralizer algebra of the pair of affine Lie algebras <span>((widehat{mathfrak {gl}}(m+n),widehat{mathfrak {sl}}(n)))</span> and the coset vertex algebra of the pair of rectangular <i>W</i>-algebras <span>(mathcal {W}^k(mathfrak {gl}(2m+2n),(2^{m+n})))</span> and <span>(mathcal {W}^{k+m}(mathfrak {sl}(2n),(2^{n})))</span>.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636842","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}
引用次数: 0
Ground states of fermionic nonlinear Schrödinger systems with Coulomb potential I: the (L^2)-subcritical case 具有库仑势的费米子非线性薛定谔系统的基态 I：(L^2)-次临界情况
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-14 DOI: 10.1007/s11005-024-01877-x
Bin Chen, Yujin Guo
{"title":"Ground states of fermionic nonlinear Schrödinger systems with Coulomb potential I: the (L^2)-subcritical case","authors":"Bin Chen,&nbsp;Yujin Guo","doi":"10.1007/s11005-024-01877-x","DOIUrl":"10.1007/s11005-024-01877-x","url":null,"abstract":"<div><p>We consider ground states of the <i>N</i> coupled fermionic nonlinear Schrödinger systems with the Coulomb potential <i>V</i>(<i>x</i>) in the <span>(L^2)</span>-subcritical case. By studying the associated constraint variational problem, we prove the existence of ground states for the system with any parameter <span>(alpha &gt;0)</span>, which represents the attractive strength of the non-relativistic quantum particles. The limiting behavior of ground states for the system is also analyzed as <span>(alpha rightarrow infty )</span>, where the mass concentrates at one of the singular points for the Coulomb potential <i>V</i>(<i>x</i>).\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636846","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}
引用次数: 0
Quantum intersection numbers and the Gromov–Witten invariants of ({{{mathbb {C}}}{{mathbb {P}}}}^1) 量子交集数和（{{mathbb {C}}}{{mathbb {P}}}}^1) ）的格罗莫夫-维滕不变式
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-13 DOI: 10.1007/s11005-024-01869-x
Xavier Blot, Alexandr Buryak
{"title":"Quantum intersection numbers and the Gromov–Witten invariants of ({{{mathbb {C}}}{{mathbb {P}}}}^1)","authors":"Xavier Blot,&nbsp;Alexandr Buryak","doi":"10.1007/s11005-024-01869-x","DOIUrl":"10.1007/s11005-024-01869-x","url":null,"abstract":"<div><p>The notion of a quantum tau-function for a natural quantization of the KdV hierarchy was introduced in a work of Dubrovin, Guéré, Rossi, and the second author. A certain natural choice of a quantum tau-function was then described by the first author, the coefficients of the logarithm of this series are called the quantum intersection numbers. Because of the Kontsevich–Witten theorem, a part of the quantum intersection numbers coincides with the classical intersection numbers of psi-classes on the moduli spaces of stable algebraic curves. In this paper, we relate the quantum intersection numbers to the stationary relative Gromov–Witten invariants of <span>(({{{mathbb {C}}}{{mathbb {P}}}}^1,0,infty ))</span> with an insertion of a Hodge class. Using the Okounkov–Pandharipande approach to such invariants (with the trivial Hodge class) through the infinite wedge formalism, we then give a short proof of an explicit formula for the “purely quantum” part of the quantum intersection numbers, found by the first author, which in particular relates these numbers to the one-part double Hurwitz numbers.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636891","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}
引用次数: 0
Fermionic integrable models and graded Borchers triples 费米子可积分模型和梯度博尔赫斯三元组
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-06 DOI: 10.1007/s11005-024-01865-1
Henning Bostelmann, Daniela Cadamuro
{"title":"Fermionic integrable models and graded Borchers triples","authors":"Henning Bostelmann,&nbsp;Daniela Cadamuro","doi":"10.1007/s11005-024-01865-1","DOIUrl":"10.1007/s11005-024-01865-1","url":null,"abstract":"<div><p>We provide an operator-algebraic construction of integrable models of quantum field theory on 1+1-dimensional Minkowski space with fermionic scattering states. These are obtained by a grading of the wedge-local fields or, alternatively, of the underlying Borchers triple defining the theory. This leads to a net of graded-local field algebras, of which the even part can be considered observable, although it is lacking Haag duality. Importantly, the nuclearity condition implying nontriviality of the local field algebras is independent of the grading, so that existing results on this technical question can be utilized. Application of Haag–Ruelle scattering theory confirms that the asymptotic particles are indeed fermionic. We also discuss connections with the form factor programme.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01865-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587877","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}
引用次数: 0
Weakly periodic p-adic quasi-Gibbs measures for the Potts model on a Cayley tree Cayley 树上 Potts 模型的弱周期 p-adic 准吉布斯量度
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-05 DOI: 10.1007/s11005-024-01872-2
Muzaffar Rahmatullaev, Akbarkhuja Tukhtabaev, Nurkhon Samijonova
{"title":"Weakly periodic p-adic quasi-Gibbs measures for the Potts model on a Cayley tree","authors":"Muzaffar Rahmatullaev,&nbsp;Akbarkhuja Tukhtabaev,&nbsp;Nurkhon Samijonova","doi":"10.1007/s11005-024-01872-2","DOIUrl":"10.1007/s11005-024-01872-2","url":null,"abstract":"<div><p>In the present paper, we study the weakly periodic <i>p</i>-adic quasi-Gibbs measures for the three-state Potts model on a Cayley tree of order two. Under some conditions, we show there exist 14 weakly periodic (non-periodic) <i>p</i>-adic quasi-Gibbs measures. Moreover, if <span>(p=3)</span> then there are six weakly periodic <i>p</i>-adic Gibbs measures for this model. We also prove that if <span>(pne 3)</span> then a phase transition occurs for the Potts model on a Cayley tree of order two.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579449","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}
引用次数: 0
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