Communications in Mathematical Physics最新文献_第5页

Asymptotics of the Finite-Temperature Sine Kernel Determinant 有限温度正弦核行列式的渐近性

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI: 10.1007/s00220-025-05245-1

Shuai-Xia Xu

引用次数: 0

Topological Phases of Unitary Dynamics: Classification in Clifford Category 统一动力学的拓扑相：Clifford范畴的分类

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI: 10.1007/s00220-025-05239-z

Jeongwan Haah

{"title":"Topological Phases of Unitary Dynamics: Classification in Clifford Category","authors":"Jeongwan Haah","doi":"10.1007/s00220-025-05239-z","DOIUrl":"10.1007/s00220-025-05239-z","url":null,"abstract":"<div>A quantum cellular automaton (QCA) or a causal unitary is by definition an automorphism of a local operator algebra, by which local operators are mapped to nearby local operators. Quantum circuits of small depth, local Hamiltonian evolutions for short time, and translations (shifts) are examples. A Clifford QCA is one that maps any Pauli operator to a finite tensor product of Pauli operators. Here, we obtain a complete table of groups ({mathfrak {C}}({textsf{d}},p)) of translation invariant Clifford QCA in any spatial dimension ({textsf{d}}ge 0) modulo Clifford quantum circuits and shifts over prime p-dimensional qudits, where the circuits and shifts are allowed to obey only coarser translation invariance. The group ({mathfrak {C}}({textsf{d}},p)) is nonzero only for ({textsf{d}}= 2k+3) if (p=2) and ({textsf{d}}= 4k+3) if p is odd where (k ge 0) is any integer, in which case ({mathfrak {C}}({textsf{d}},p) cong {widetilde{mathfrak {W}}}({mathbb {F}}_p)), the classical Witt group of nonsingular quadratic forms over the finite field ({mathbb {F}}_p). It is well known that ({widetilde{mathfrak {W}}}({mathbb {F}}_2) cong {mathbb {Z}}/2{mathbb {Z}}), ({widetilde{mathfrak {W}}}({mathbb {F}}_p) cong {mathbb {Z}}/4{mathbb {Z}}) if (p = 3 bmod 4), and ({widetilde{mathfrak {W}}}({mathbb {F}}_p)cong {mathbb {Z}}/2{mathbb {Z}}oplus {mathbb {Z}}/2{mathbb {Z}}) if (p = 1 bmod 4). The classification is achieved by a dimensional descent, which is a reduction of Laurent extension theorems for algebraic L-groups of surgery theory in topology.\u0000</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143553927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Fermionic Massless Modular Hamiltonian 费米子无质量模哈密顿量

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI: 10.1007/s00220-025-05253-1

Francesca La Piana, Gerardo Morsella

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On r-Neutralized Entropy: Entropy Formula and Existence of Measures Attaining the Supremum 关于r-中和熵：熵的公式及测度的存在性

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI: 10.1007/s00220-025-05260-2

Changguang Dong, Qiujie Qiao

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The KLT Kernel in Twistor Space 扭转空间中的KLT核

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI: 10.1007/s00220-025-05254-0

Tim Adamo, Sonja Klisch

{"title":"The KLT Kernel in Twistor Space","authors":"Tim Adamo, Sonja Klisch","doi":"10.1007/s00220-025-05254-0","DOIUrl":"10.1007/s00220-025-05254-0","url":null,"abstract":"<div>The double copy relationship between Yang–Mills theory and general relativity can be stated in terms of a field theory Kawai–Lewellen–Tye (KLT) momentum kernel, which maps two colour-ordered gluon amplitudes to a graviton amplitude at tree-level. These amplitudes can also be written in compact, helicity-graded representations on twistor space which include the famous Parke–Taylor and Hodges formulae in the maximal helicity violating sector. However, a double copy formulation of these helicity-graded formulae has proved elusive. In this paper, we use graph-theoretic methods to obtain an explicit double copy representation of the tree-level, helicity graded S-matrix of general relativity in terms of a KLT-like integral kernel in twistor space. This integral kernel glues together two colour-ordered integrands for tree-level gluon scattering on twistor space to produce tree-level graviton amplitudes, and admits a chiral splitting into positive and negative helicity degrees of freedom. Furthermore, the kernel can be inverted to obtain a new formula for the tree-level S-matrix of biadjoint scalar theory, which we verify using recursion relations. We also derive extensions of this integral kernel to graviton scattering in anti-de Sitter space and self-dual radiative spacetimes, commenting on their potential double copy interpretations.\u0000</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05254-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143554065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Decomposition of (widehat{mathfrak {sl}_2} _{,k} oplus widehat{mathfrak {sl}_2} _{,1}) Highest Weight Representations for Generic Level k and Equivalence Between Two-Dimensional CFT Models 广义k层的最高权表示分解(widehat{mathfrak {sl}_2} _{,k} oplus widehat{mathfrak {sl}_2} _{,1})及二维CFT模型间的等价性

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI: 10.1007/s00220-025-05252-2

Leszek Hadasz, Błażej Ruba

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Effective Behaviour of Critical-Contrast PDEs: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. II 临界对比pde的有效行为：微共振、频率转换和时间色散特性。2

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI: 10.1007/s00220-024-05221-1

Kirill Cherednichenko, Alexander V. Kiselev, Igor Velčić, Josip Žubrinić

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Some Rigorous Results on the Lévy Spin Glass Model 关于lsamvy自旋玻璃模型的一些严谨结果

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-02-27 DOI: 10.1007/s00220-025-05244-2

Wei-Kuo Chen, Heejune Kim, Arnab Sen

{"title":"Some Rigorous Results on the Lévy Spin Glass Model","authors":"Wei-Kuo Chen, Heejune Kim, Arnab Sen","doi":"10.1007/s00220-025-05244-2","DOIUrl":"10.1007/s00220-025-05244-2","url":null,"abstract":"<div>We study the Lévy spin glass model, a fully connected model on N vertices with heavy-tailed interactions governed by a power law distribution of order (0<alpha <2.) Our investigation is divided into three cases (0<alpha <1), (alpha =1), and (1<alpha <2.) When (1<alpha <2,) we identify a high temperature regime, in which the limit and fluctuation of the free energy are explicitly obtained and the site and bond overlaps are shown to exhibit concentration, interestingly, while the former is concentrated around zero, the latter obeys a positivity behavior. At any temperature, we further establish the existence of the limiting free energy and derive a variational formula analogous to Panchenko’s framework in the setting of the Poissonian Viana-Bray model. For (alpha =1), the free energy scales super-linearly and converges to a constant proportional to (beta ) in probability at any temperature. In the case of (0<alpha <1), the scaling for the free energy is again super-linear, however, it converges weakly to the sum of a Poisson Point Process at any temperature. Additionally, we show that the Gibbs measure puts most of its mass on the configurations that align with signs of the polynomially many heaviest edge weights.\u0000</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 3","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Local Statistics and Concentration for Non-intersecting Brownian Bridges with Smooth Boundary Data 具有光滑边界数据的非相交布朗桥的局部统计与集中

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-02-27 DOI: 10.1007/s00220-025-05251-3

Amol Aggarwal, Jiaoyang Huang

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Twisted Verlinde Formula for Vertex Operator Algebras: The Prime Case 顶点算子代数的扭曲韦林德公式：质点案例

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-02-27 DOI: 10.1007/s00220-025-05248-y

Chongying Dong, Xingjun Lin

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