发布求助
文献互助 智能选刊 最新文献

Letters in Mathematical Physics最新文献

筛选
英文 中文
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
Twisting factors and fixed-time models in quantum field theory 量子场论中的扭曲因子和固定时间模型
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-04 DOI: 10.1007/s11005-024-01878-w
Ezio Vasselli
{"title":"Twisting factors and fixed-time models in quantum field theory","authors":"Ezio Vasselli","doi":"10.1007/s11005-024-01878-w","DOIUrl":"10.1007/s11005-024-01878-w","url":null,"abstract":"<div><p>We construct a class of fixed-time models in which the commutations relations of a Dirac field with a bosonic field are non-trivial and depend on the choice of a given distribution (“twisting factor”). If the twisting factor is fundamental solution of a differential operator, then applying the differential operator to the bosonic field yields a generator of the local gauge transformations of the Dirac field. Charged vectors generated by the Dirac field define states of the bosonic field which in general are not local excitations of the given reference state. The Hamiltonian density of the bosonic field presents a non-trivial interaction term: besides creating and annihilating bosons, it acts on momenta of fermionic wave functions. When the twisting factor is the Coulomb potential, the bosonic field contributes to the divergence of an electric field and its Laplacian generates local gauge transformations of the Dirac field. In this way, we get a fixed-time model fulfilling the equal time commutation relations of the interacting Coulomb gauge.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579423","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
Nonexistence of closed and bounded null geodesics in Kerr spacetimes 克尔空间中封闭有界空大地线的不存在性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-04 DOI: 10.1007/s11005-024-01875-z
Giulio Sanzeni
{"title":"Nonexistence of closed and bounded null geodesics in Kerr spacetimes","authors":"Giulio Sanzeni","doi":"10.1007/s11005-024-01875-z","DOIUrl":"10.1007/s11005-024-01875-z","url":null,"abstract":"<div><p>The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the slowly rotating Kerr black hole. It is known that below the inner horizon, there exist both timelike and null (lightlike) closed curves. Nevertheless, we prove that null geodesics can be neither closed nor even contained in a compact subset of the Kerr-star spacetime.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579442","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
General covariance for quantum states over time 量子态随时间变化的一般协方差
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-11-01 DOI: 10.1007/s11005-024-01870-4
James Fullwood
{"title":"General covariance for quantum states over time","authors":"James Fullwood","doi":"10.1007/s11005-024-01870-4","DOIUrl":"10.1007/s11005-024-01870-4","url":null,"abstract":"<div><p>Quantum states over time are a spatiotemporal generalization of density operators which were first introduced to give a more even-handed treatment of space and time in quantum theory. In particular, quantum states over time encode not only spatial, but also <i>causal</i> correlations associated with the dynamical evolution of a quantum system, and the association of quantum states over time with the dynamical flow of quantum information is in direct analogy with spacetime and its relation to classical dynamics. In this work, we further such an analogy by formulating a notion of general covariance for the theory of quantum states over time. We then associate a canonical state over time with a density operator which is to evolve under a sequence of quantum processes modeled by completely positive trace-preserving (CPTP) maps, and we show that such a canonical state over time satisfies such a notion of covariance. We also show that the dynamical quantum Bayes’ rule transforms covariantly with respect to quantum states over time, and we conclude with a discussion of what it means for a physical law to be generally covariant when formulated in terms of quantum states over time.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142565752","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
Combinatorial 2d higher topological quantum field theory from a local cyclic (A_infty ) algebra 从局部循环（A_infty ）代数出发的组合 2d 高等拓扑量子场论
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-10-30 DOI: 10.1007/s11005-024-01874-0
Justin Beck, Andrey Losev, Pavel Mnev
{"title":"Combinatorial 2d higher topological quantum field theory from a local cyclic (A_infty ) algebra","authors":"Justin Beck,&nbsp;Andrey Losev,&nbsp;Pavel Mnev","doi":"10.1007/s11005-024-01874-0","DOIUrl":"10.1007/s11005-024-01874-0","url":null,"abstract":"<div><p>We construct combinatorial analogs of 2d higher topological quantum field theories. We consider triangulations as vertices of a certain CW complex <span>(Xi )</span>. In the “flip theory,” cells of <span>(Xi _textrm{flip})</span> correspond to polygonal decompositions obtained by erasing the edges in a triangulation. These theories assign to a cobordism <span>(Sigma )</span> a cochain <i>Z</i> on <span>(Xi _textrm{flip})</span> constructed as a contraction of structure tensors of a cyclic <span>(A_infty )</span> algebra <i>V</i> assigned to polygons. The cyclic <span>(A_infty )</span> equations imply the closedness equation <span>((delta +Q)Z=0)</span>. In this context, we define combinatorial BV operators and give examples with coefficients in <span>(mathbb {Z}_2)</span>. In the “secondary polytope theory,” <span>(Xi _textrm{sp})</span> is the secondary polytope (due to Gelfand–Kapranov–Zelevinsky) and the cyclic <span>(A_infty )</span> algebra has to be replaced by an appropriate refinement that we call an <span>(widehat{A}_infty )</span> algebra. We conjecture the existence of a good Pachner CW complex <span>(Xi )</span> for any cobordism, whose local combinatorics is described by secondary polytopes and the homotopy type is that of Zwiebach’s moduli space of complex structures. Depending on this conjecture, one has an “ideal model” of combinatorial 2d HTQFT determined by a local <span>(widehat{A}_infty )</span> algebra.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01874-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142555275","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
Special Joyce structures and hyperkähler metrics 特殊乔伊斯结构和超卡勒度量
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-10-29 DOI: 10.1007/s11005-024-01871-3
Iván Tulli
{"title":"Special Joyce structures and hyperkähler metrics","authors":"Iván Tulli","doi":"10.1007/s11005-024-01871-3","DOIUrl":"10.1007/s11005-024-01871-3","url":null,"abstract":"<div><p>Joyce structures were introduced by T. Bridgeland in the context of the space of stability conditions of a three-dimensional Calabi–Yau category and its associated Donaldson–Thomas invariants. In subsequent work, T. Bridgeland and I. Strachan showed that Joyce structures satisfying a certain non-degeneracy condition encode a complex hyperkähler structure on the tangent bundle of the base of the Joyce structure. In this work we give a definition of an analogous structure over an affine special Kähler (ASK) manifold, which we call a special Joyce structure. Furthermore, we show that it encodes a real hyperkähler (HK) structure on the tangent bundle of the ASK manifold, possibly of indefinite signature. Particular examples include the semi-flat HK metric associated to an ASK manifold (also known as the rigid c-map metric) and the HK metrics associated to certain uncoupled variations of BPS structures over the ASK manifold. Finally, we relate the HK metrics coming from special Joyce structures to HK metrics on the total space of algebraic integrable systems.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01871-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142540741","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
Vortices on cylinders and warped exponential networks 圆柱体上的旋涡和扭曲指数网络
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-10-26 DOI: 10.1007/s11005-024-01873-1
Kunal Gupta, Pietro Longhi
{"title":"Vortices on cylinders and warped exponential networks","authors":"Kunal Gupta,&nbsp;Pietro Longhi","doi":"10.1007/s11005-024-01873-1","DOIUrl":"10.1007/s11005-024-01873-1","url":null,"abstract":"<div><p>We study 3d <span>(mathcal {N}=2)</span> <i>U</i>(1) Chern–Simons-Matter QFT on a cylinder <span>(Ctimes mathbb {R})</span>. The topology of <i>C</i> gives rise to BPS sectors of low-energy solitons known as kinky vortices, which interpolate between (possibly) different vacua at the ends of the cylinder and at the same time carry magnetic flux. We compute the spectrum of BPS vortices on the cylinder in an isolated Higgs vacuum, through the framework of warped exponential networks, which we introduce. We then conjecture a relation between these and standard vortices on <span>(mathbb {R}^2)</span>, which are related to genus-zero open Gromov–Witten invariants of toric branes. More specifically, we show that in the limit of large Fayet–Iliopoulos coupling, the spectrum of kinky vortices on <i>C</i> undergoes an infinite sequence of wall-crossing transitions and eventually stabilizes. We then propose an exact relation between a generating series of stabilized CFIV indices and the Gromov–Witten disk potential and discuss its consequences for the structure of moduli spaces of vortices.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01873-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142519123","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
The structure of the wave operator in four dimensions in the presence of resonances 存在共振的四维波算子结构
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-10-19 DOI: 10.1007/s11005-024-01868-y
Angus Alexander, Adam Rennie
{"title":"The structure of the wave operator in four dimensions in the presence of resonances","authors":"Angus Alexander,&nbsp;Adam Rennie","doi":"10.1007/s11005-024-01868-y","DOIUrl":"10.1007/s11005-024-01868-y","url":null,"abstract":"<div><p>We show that the wave operators for Schrödinger scattering in <span>(mathbb {R}^4)</span> have a particular form which depends on the existence of resonances. As a consequence of this form, we determine the contribution of resonances to the index of the wave operator.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01868-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142451028","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
Ergodic theory of diagonal orthogonal covariant quantum channels 对角正交协变量子信道的遍历理论
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-10-17 DOI: 10.1007/s11005-024-01864-2
Satvik Singh, Nilanjana Datta, Ion Nechita
{"title":"Ergodic theory of diagonal orthogonal covariant quantum channels","authors":"Satvik Singh,&nbsp;Nilanjana Datta,&nbsp;Ion Nechita","doi":"10.1007/s11005-024-01864-2","DOIUrl":"10.1007/s11005-024-01864-2","url":null,"abstract":"<div><p>We analyse the ergodic properties of quantum channels that are covariant with respect to diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in this class is essentially governed by a classical stochastic matrix. This allows us to exploit tools from classical ergodic theory to study quantum ergodicity of such channels. As an application of our analysis, we study dual unitary brickwork circuits which have recently been proposed as minimal models of quantum chaos in many-body systems. Upon imposing a local diagonal orthogonal invariance symmetry on these circuits, the long-term behaviour of spatio-temporal correlations between local observables in such circuits is completely determined by the ergodic properties of a channel that is covariant under diagonal orthogonal transformations. We utilize this fact to show that such symmetric dual unitary circuits exhibit a rich variety of ergodic behaviours, thus emphasizing their importance.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01864-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142447420","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信