Letters in Mathematical Physics最新文献_第6页

Investigations of warped product manifolds through the concircular curvature tensor with relativistic applications 利用共圆曲率张量研究弯曲积流形及其相对论应用

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-28 DOI: 10.1007/s11005-025-01900-9

Abdallah Abdelhameed Syied, Crina Daniela Neacşu, Nasser Bin Turki, Gabriel-Eduard Vîlcu

引用次数: 0

Tetrahedron instantons on orbifolds 轨道上的四面体瞬子

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-28 DOI: 10.1007/s11005-025-01903-6

Richard J. Szabo, Michelangelo Tirelli

{"title":"Tetrahedron instantons on orbifolds","authors":"Richard J. Szabo, Michelangelo Tirelli","doi":"10.1007/s11005-025-01903-6","DOIUrl":"10.1007/s11005-025-01903-6","url":null,"abstract":"<div>Given a homomorphism (tau ) from a suitable finite group ({mathsf {Gamma }}) to (textsf{SU}(4)) with image ({mathsf {Gamma }}^tau ), we construct a cohomological gauge theory on a non-commutative resolution of the quotient singularity (mathbbm {C}^4/{mathsf {Gamma }}^tau ) whose BRST fixed points are ({mathsf {Gamma }})-invariant tetrahedron instantons on a generally non-effective orbifold. The partition function computes the expectation values of complex codimension one defect operators in rank r cohomological Donaldson–Thomas theory on a flat gerbe over the quotient stack ([mathbbm {C}^4/,{mathsf {Gamma }}^tau ]). We describe the generalized ADHM parametrization of the tetrahedron instanton moduli space and evaluate the orbifold partition functions through virtual torus localization. If ({mathsf {Gamma }}) is an abelian group the partition function is expressed as a combinatorial series over arrays of ({mathsf {Gamma }})-coloured plane partitions, while if ({mathsf {Gamma }}) is non-abelian the partition function localizes onto a sum over torus-invariant connected components of the moduli space labelled by lower-dimensional partitions. When ({mathsf {Gamma }}=mathbbm {Z}_n) is a finite abelian subgroup of (textsf{SL}(2,mathbbm {C})), we exhibit the reduction of Donaldson–Thomas theory on the toric Calabi–Yau four-orbifold (mathbbm {C}^2/,{mathsf {Gamma }}times mathbbm {C}^2) to the cohomological field theory of tetrahedron instantons, from which we express the partition function as a closed infinite product formula. We also use the crepant resolution correspondence to derive a closed formula for the partition function on any polyhedral singularity.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01903-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109565","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

On the relativistic quantum mechanics of a photon between two electrons in (1+1) dimensions 论(1+1)维中两个电子之间的光子的相对论量子力学

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-24 DOI: 10.1007/s11005-025-01898-0

Lawrence Frolov, Samuel Leigh, Shadi Tahvildar-Zadeh

{"title":"On the relativistic quantum mechanics of a photon between two electrons in (1+1) dimensions","authors":"Lawrence Frolov, Samuel Leigh, Shadi Tahvildar-Zadeh","doi":"10.1007/s11005-025-01898-0","DOIUrl":"10.1007/s11005-025-01898-0","url":null,"abstract":"<div>A Lorentz-covariant system of wave equations is formulated for a quantum-mechanical three-body system in one space dimension, comprised of one photon and two identical massive spin one-half Dirac particles, which can be thought of as two electrons (or alternatively, two positrons). Manifest covariance is achieved using Dirac’s formalism of multi-time wave functions, i.e., wave functions (Psi ({textbf {x}}_{text {ph}},{textbf {x}}_{text {e}_1},{textbf {x}}_{text {e}_2})) where ({textbf {x}}_{text {ph}},{textbf {x}}_{text {e}_1},{textbf {x}}_{text {e}_2}) are generic spacetime events of the photon and two electrons, respectively. Their interaction is implemented via a Lorentz-invariant no-crossing-of-paths boundary condition at the coincidence submanifolds ({{textbf {x}}_{text {ph}}={textbf {x}}_{text {e}_1}}) and ({{textbf {x}}_{text {ph}}={textbf {x}}_{text {e}_2}}) compatible with conservation of probability current. The corresponding initial-boundary value problem is shown to be well-posed, and it is shown that the unique solution can be represented by a convergent infinite sum of Feynman-like diagrams, each one corresponding to the photon bouncing between the two electrons a fixed number of times.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01898-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109215","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 spectral (zeta )-function for quasi-regular Sturm–Liouville operators 拟正则Sturm-Liouville算子的谱(zeta ) -函数

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-22 DOI: 10.1007/s11005-024-01893-x

Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill

{"title":"The spectral (zeta )-function for quasi-regular Sturm–Liouville operators","authors":"Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill","doi":"10.1007/s11005-024-01893-x","DOIUrl":"10.1007/s11005-024-01893-x","url":null,"abstract":"<div>In this work, we analyze the spectral (zeta )-function associated with the self-adjoint extensions, (T_{A,B}), of quasi-regular Sturm–Liouville operators that are bounded from below. By utilizing the Green’s function formalism, we find the characteristic function, which implicitly provides the eigenvalues associated with a given self-adjoint extension (T_{A,B}). The characteristic function is then employed to construct a contour integral representation for the spectral (zeta )-function of (T_{A,B}). By assuming a general form for the asymptotic expansion of the characteristic function, we describe the analytic continuation of the (zeta )-function to a larger region of the complex plane. We also present a method for computing the value of the spectral (zeta )-function of (T_{A,B}) at all positive integers. We provide two examples to illustrate the methods developed in the paper: the generalized Bessel and Legendre operators. We show that in the case of the generalized Bessel operator, the spectral (zeta )-function develops a branch point at the origin, while in the case of the Legendre operator it presents, more remarkably, branch points at every nonpositive integer value of s.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01893-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109015","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

High-frequency two-dimensional asymptotic standing coastal trapped waves in nearly integrable case 近可积情况下高频二维渐近驻岸困波

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-18 DOI: 10.1007/s11005-025-01895-3

Vladislav Rykhlov, Anatoly Anikin

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The non-linear steepest descent approach to the singular asymptotics of the sinh-Gordon reduction of the Painlevé III equation painleve3方程sinh-Gordon约简奇异渐近性的非线性最陡下降方法

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-13 DOI: 10.1007/s11005-024-01892-y

Alexander R. Its, Kenta Miyahara, Maxim L. Yattselev

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Special issue honouring Mary Beth Ruskai 纪念玛丽·贝丝·鲁斯凯的特刊

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-04 DOI: 10.1007/s11005-024-01891-z

Andreas Winter, Bruno Nachtergaele, Matthias Christandl, Fumio Hiai, Graeme Smith, Simone Warzel

引用次数: 0

Ruijsenaars duality for (B, C, D) Toda chains (B, C, D) Toda链的rujsenaars对偶性

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-28 DOI: 10.1007/s11005-024-01890-0

Ivan Sechin, Mikhail Vasilev

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The covariant Stone–von Neumann theorem for locally compact quantum groups 局部紧量子群的协变Stone-von Neumann定理

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-19 DOI: 10.1007/s11005-024-01886-w

Lucas Hall, Leonard Huang, Jacek Krajczok, Mariusz Tobolski

{"title":"The covariant Stone–von Neumann theorem for locally compact quantum groups","authors":"Lucas Hall, Leonard Huang, Jacek Krajczok, Mariusz Tobolski","doi":"10.1007/s11005-024-01886-w","DOIUrl":"10.1007/s11005-024-01886-w","url":null,"abstract":"<div>The Stone–von Neumann theorem is a fundamental result which unified the competing quantum-mechanical models of matrix mechanics and wave mechanics. In this article, we continue the broad generalization set out by Huang and Ismert and by Hall, Huang, and Quigg, analyzing representations of locally compact quantum-dynamical systems defined on Hilbert modules, of which the classical result is a special case. We introduce a pair of modular representations which subsume numerous models available in the literature and, using the classical strategy of Rieffel, prove a Stone–von Neumann-type theorem for maximal actions of regular locally compact quantum groups on elementary C*-algebras. In particular, we generalize the Mackey–Stone–von Neumann theorem to regular locally compact quantum groups whose trivial actions on (mathbb {C}) are maximal and recover the multiplicity results of Hall, Huang, and Quigg. With this characterization in hand, we prove our main result showing that if a dynamical system ((mathbb {G},A,alpha )) satisfies the multiplicity assumption of the generalized Stone–von Neumann theorem, and if the coefficient algebra A admits a faithful state, then the spectrum of the iterated crossed product (widehat{mathbb {G}}^textrm{op}ltimes (mathbb {G}ltimes A)) consists of a single point. In the case of a separable coefficient algebra or a regular acting quantum group, we further characterize features of this system, and thus obtain a partial converse to the Stone–von Neumann theorem in the quantum group setting. As a corollary, we show that a regular locally compact quantum group satisfies the generalized Stone–von Neumann theorem if and only if it is strongly regular.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142859812","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

On the effect of derivative interactions in quantum field theory 论量子场论中导数相互作用的影响

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-19 DOI: 10.1007/s11005-024-01889-7

Karl-Henning Rehren

引用次数: 0