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Gluon scattering on the self-dual dyon
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-08 DOI: 10.1007/s11005-025-01907-2
Tim Adamo, Giuseppe Bogna, Lionel Mason, Atul Sharma
{"title":"Gluon scattering on the self-dual dyon","authors":"Tim Adamo,&nbsp;Giuseppe Bogna,&nbsp;Lionel Mason,&nbsp;Atul Sharma","doi":"10.1007/s11005-025-01907-2","DOIUrl":"10.1007/s11005-025-01907-2","url":null,"abstract":"<div><p>The computation of scattering amplitudes in the presence of non-trivial background gauge fields is an important but extremely difficult problem in quantum field theory. In even the simplest backgrounds, obtaining explicit formulae for processes involving more than a few external particles is often intractable. Recently, it has been shown that remarkable progress can be made by considering background fields which are chiral in nature. In this paper, we obtain a compact expression for the tree-level, maximal helicity violating (MHV) scattering amplitude of an arbitrary number of gluons in the background of a self-dual dyon. This is a Cartan-valued, complex gauge field sourced by a point particle with equal electric and magnetic charges and can be viewed as the self-dual version of a Coulomb field. Twistor theory enables us to manifest the underlying integrability of the self-dual dyon, trivializing the perturbative expansion in the MHV sector. The formula contains a single position-space integral over a spatial slice, which can be evaluated explicitly in simple cases. As an application of the formula, we show that the holomorphic collinear splitting functions of gluons in the self-dual dyon background are un-deformed from a trivial background, meaning that holomorphic celestial OPE coefficients and the associated chiral algebra are similarly un-deformed. We also comment on extensions of our MHV formula to the full tree-level gluon S-matrix.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01907-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361852","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 propagation of information in quantum mechanics and maximal velocity bounds
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-07 DOI: 10.1007/s11005-025-01899-z
Israel Michael Sigal, Xiaoxu Wu
{"title":"On propagation of information in quantum mechanics and maximal velocity bounds","authors":"Israel Michael Sigal,&nbsp;Xiaoxu Wu","doi":"10.1007/s11005-025-01899-z","DOIUrl":"10.1007/s11005-025-01899-z","url":null,"abstract":"<div><p>We revisit key notions related to the evolution of quantum information in few-body quantum mechanics (fbQM) and, for a wide class of dispersion relations, prove uniform bounds on the maximal speed of propagation of quantum information for states and observables with exponential error bounds. Our results imply, in particular, a fbQM version of the Lieb–Robinson bound, which is known to have wide applications in quantum information sciences. We propose a novel approach to proving maximal speed bounds.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361643","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
Lorentzian bordisms in algebraic quantum field theory
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-02-03 DOI: 10.1007/s11005-025-01906-3
Severin Bunk, James MacManus, Alexander Schenkel
{"title":"Lorentzian bordisms in algebraic quantum field theory","authors":"Severin Bunk,&nbsp;James MacManus,&nbsp;Alexander Schenkel","doi":"10.1007/s11005-025-01906-3","DOIUrl":"10.1007/s11005-025-01906-3","url":null,"abstract":"<div><p>It is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This means that globally hyperbolic Lorentzian bordisms between Cauchy surfaces arise naturally in the context of algebraic quantum field theory. The underlying functorial field theory encodes the time evolution of the original theory, but not its spatially local structure. As an illustrative application of these results, the algebraic and functorial descriptions of a free scalar quantum field are compared in detail.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01906-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107873","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
Higher form symmetries and orbifolds of two-dimensional Yang–Mills theory
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-31 DOI: 10.1007/s11005-025-01905-4
Leonardo Santilli, Richard J. Szabo
{"title":"Higher form symmetries and orbifolds of two-dimensional Yang–Mills theory","authors":"Leonardo Santilli,&nbsp;Richard J. Szabo","doi":"10.1007/s11005-025-01905-4","DOIUrl":"10.1007/s11005-025-01905-4","url":null,"abstract":"<div><p>We undertake a detailed study of the gaugings of two-dimensional Yang–Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their higher algebraic and geometric structures, as well as the meaning of dual lower form symmetries. Our derivations of orbifold gauge theories make use of a combination of standard continuum path integral methods, networks of topological defects, and techniques from higher gauge theory. We provide a unified description of higher and lower form gauge fields for a <i>p</i>-form symmetry in the geometric setting of <i>p</i>-gerbes, and derive reverse orbifolds by the dual <span>((-1))</span>-form symmetries. We identify those orbifolds in which charge conjugation symmetry is spontaneously broken, and relate the breaking to mixed anomalies involving <span>((-1))</span>-form symmetries. We extend these considerations to gaugings by the non-invertible 1-form symmetries of two-dimensional Yang–Mills theory by introducing a notion of generalized <span>(theta )</span>-angle.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110118","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
Inequalities between Dirichlet and Neumann eigenvalues of the magnetic Laplacian
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-30 DOI: 10.1007/s11005-025-01901-8
Vladimir Lotoreichik
{"title":"Inequalities between Dirichlet and Neumann eigenvalues of the magnetic Laplacian","authors":"Vladimir Lotoreichik","doi":"10.1007/s11005-025-01901-8","DOIUrl":"10.1007/s11005-025-01901-8","url":null,"abstract":"<div><p>We consider the magnetic Laplacian with the homogeneous magnetic field in two and three dimensions. We prove that the <span>((k+1))</span>-th magnetic Neumann eigenvalue of a bounded convex planar domain is not larger than its <i>k</i>-th magnetic Dirichlet eigenvalue for all <span>(kin {{mathbb {N}}})</span>. In three dimensions, we restrict our attention to convex domains, which are invariant under rotation by an angle of <span>(pi )</span> around an axis parallel to the magnetic field. For such domains, we prove that the <span>((k+2))</span>-th magnetic Neumann eigenvalue is not larger than the <i>k</i>-th magnetic Dirichlet eigenvalue provided that this Dirichlet eigenvalue is simple. The proofs rely on a modification of the strategy suggested by Payne and developed further by Levine and Weinberger.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01901-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110070","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
Loschmidt echo for deformed Wigner matrices
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-30 DOI: 10.1007/s11005-025-01904-5
László Erdős, Joscha Henheik, Oleksii Kolupaiev
{"title":"Loschmidt echo for deformed Wigner matrices","authors":"László Erdős,&nbsp;Joscha Henheik,&nbsp;Oleksii Kolupaiev","doi":"10.1007/s11005-025-01904-5","DOIUrl":"10.1007/s11005-025-01904-5","url":null,"abstract":"<div><p>We consider two Hamiltonians that are close to each other, <span>(H_1 approx H_2 )</span>, and analyze the time decay of the corresponding <i>Loschmidt echo</i> <span>(mathfrak {M}(t):= |langle psi _0, textrm{e}^{textrm{i} t H_2} textrm{e}^{-textrm{i} t H_1} psi _0 rangle |^2)</span> that expresses the effect of an imperfect time reversal on the initial state <span>(psi _0)</span>. Our model Hamiltonians are deformed Wigner matrices that do not share a common eigenbasis. The main tools are new two-resolvent laws for such <span>(H_1)</span> and <span>(H_2)</span>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11782466/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143078413","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
New combinatorial formulae for nested Bethe vectors II
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-01-28 DOI: 10.1007/s11005-025-01896-2
Maksim Kosmakov, Vitaly Tarasov
{"title":"New combinatorial formulae for nested Bethe vectors II","authors":"Maksim Kosmakov,&nbsp;Vitaly Tarasov","doi":"10.1007/s11005-025-01896-2","DOIUrl":"10.1007/s11005-025-01896-2","url":null,"abstract":"<div><p>We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian <span>(Y(mathfrak {gl}_n))</span>.</p></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://www.ncbi.nlm.nih.gov/pmc/articles/PMC11775048/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143063015","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
Investigations of warped product manifolds through the concircular curvature tensor with relativistic applications
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
{"title":"Investigations of warped product manifolds through the concircular curvature tensor with relativistic applications","authors":"Abdallah Abdelhameed Syied,&nbsp;Crina Daniela Neacşu,&nbsp;Nasser Bin Turki,&nbsp;Gabriel-Eduard Vîlcu","doi":"10.1007/s11005-025-01900-9","DOIUrl":"10.1007/s11005-025-01900-9","url":null,"abstract":"<div><p>This article focuses on characterizing warped product manifolds through the flatness and the symmetry of the concircular curvature tensor. It is proved that the factor manifolds of a concircularly-flat warped product manifold have constant sectional curvatures as well as they are concircularly-flat. It is shown that in a concircularly-symmetric warped product manifold, the fiber manifold has constant sectional curvature and it is concircularly-flat, while the base manifold is locally-symmetric and concircularly-symmetric. It is demonstrated that a concircularly-flat (symmetric) GRW space-time is perfect fluid and static. Finally, it is established that in a concircularly-flat (symmetric) <i>F</i>-associated standard static space-time, the base manifold has constant sectional curvature and it is concircularly-flat, while the fiber manifold is locally-symmetric and concircularly-symmetric.</p></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/s11005-025-01900-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109564","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
Tetrahedron instantons on orbifolds
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,&nbsp;Michelangelo Tirelli","doi":"10.1007/s11005-025-01903-6","DOIUrl":"10.1007/s11005-025-01903-6","url":null,"abstract":"<div><p>Given a homomorphism <span>(tau )</span> from a suitable finite group <span>({mathsf {Gamma }})</span> to <span>(textsf{SU}(4))</span> with image <span>({mathsf {Gamma }}^tau )</span>, we construct a cohomological gauge theory on a non-commutative resolution of the quotient singularity <span>(mathbbm {C}^4/{mathsf {Gamma }}^tau )</span> whose BRST fixed points are <span>({mathsf {Gamma }})</span>-invariant tetrahedron instantons on a generally non-effective orbifold. The partition function computes the expectation values of complex codimension one defect operators in rank <i>r</i> cohomological Donaldson–Thomas theory on a flat gerbe over the quotient stack <span>([mathbbm {C}^4/,{mathsf {Gamma }}^tau ])</span>. We describe the generalized ADHM parametrization of the tetrahedron instanton moduli space and evaluate the orbifold partition functions through virtual torus localization. If <span>({mathsf {Gamma }})</span> is an abelian group the partition function is expressed as a combinatorial series over arrays of <span>({mathsf {Gamma }})</span>-coloured plane partitions, while if <span>({mathsf {Gamma }})</span> 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 <span>({mathsf {Gamma }}=mathbbm {Z}_n)</span> is a finite abelian subgroup of <span>(textsf{SL}(2,mathbbm {C}))</span>, we exhibit the reduction of Donaldson–Thomas theory on the toric Calabi–Yau four-orbifold <span>(mathbbm {C}^2/,{mathsf {Gamma }}times mathbbm {C}^2)</span> 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.</p></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
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,&nbsp;Samuel Leigh,&nbsp;Shadi Tahvildar-Zadeh","doi":"10.1007/s11005-025-01898-0","DOIUrl":"10.1007/s11005-025-01898-0","url":null,"abstract":"<div><p>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 <span>(Psi ({textbf {x}}_{text {ph}},{textbf {x}}_{text {e}_1},{textbf {x}}_{text {e}_2}))</span> where <span>({textbf {x}}_{text {ph}},{textbf {x}}_{text {e}_1},{textbf {x}}_{text {e}_2})</span> 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 <span>({{textbf {x}}_{text {ph}}={textbf {x}}_{text {e}_1}})</span> and <span>({{textbf {x}}_{text {ph}}={textbf {x}}_{text {e}_2}})</span> 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</p></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
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