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Mathematical Physics papers — page 114

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Edge transport in Haldane-like models with quasi-periodic disorder
We consider Haldane-like 2d topological insulators on the cylinder, in the presence of weak quasi-periodic disorder. We prove that, at large distances, the boundary correlations agree with the…
Fabrizio Caragiulo, Vieri Mastropietro, Marcello PortaOct 4, 2024
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Clifford and quadratic composite operators with applications to non-Hermitian physics
A variety of physical phenomena, such as amplification, absorption, and radiation, can be effectively described using non-Hermitian operators. However, the introduction of non-uniform non-Hermiticity…
Jose J. GarciaOct 4, 2024
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3d Mirror Symmetry is Mirror Symmetry
3d mirror symmetry is a mysterious duality for certian pairs of hyperk\"ahler manifolds, or more generally complex symplectic manifolds/stacks. In this paper, we will describe its relationships with…
Ki Fung Chan, Naichung Conan LeungOct 4, 2024
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The Haar measure in solid mechanics
This article addresses the overlooked but crucial role of the Haar measure in solid mechanics, a concept well-established in mathematical literature but frequently misunderstood by mechanicians. The…
Clément Ecker, Boris KolevOct 4, 2024
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Discrete time scattering and Wold's decomposition in pictures
Based on explicit computations, various concepts of discrete time scattering theory are reviewed, discussed, and illustrated. The dynamics are taking place on a discrete half-space. All operators are…
Rafi Rizqy Firdaus, Serge RichardOct 4, 2024
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Factorization of rational six vertex model partition functions
We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by…
Kohei MotegiOct 4, 2024
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Refining Boundary Value Problems in Non-local Micropolar Mechanics
This research explores refined boundary conditions for a traction-free surface in a non-local micropolar half-space, combining non-local and micropolar elasticity effects to study Rayleigh wave…
Manasa Bhat, Santanu MannaOct 3, 2024
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Absolutely continuous spectrum for truncated topological insulators
We show that if a topological insulator is truncated along a curve that separates the plane in two sufficiently large regions, then the edge system admits absolutely continuous spectrum. Our approach…
Alexis Drouot, Jacob Shapiro, Xiaowen ZhuOct 3, 2024
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Band spectrum singularities for Schr\"odinger operators
In this paper, we develop a systematic framework to study the dispersion surfaces of Schr\"odinger operators - + V, where the potential V ∈ C∞(Rn,R) is…
Alexis Drouot, Curtiss LymanOct 2, 2024
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An index for invertible phases of two-dimensional quantum spin systems
We define an index for invertible phases of two-dimensional fermionic and bosonic quantum spin systems without any additional symmetry. Conjecturally, it provides a microscopic definition of an…
Nikita SopenkoOct 2, 2024
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Equilibrium of Charges and Differential Equations Solved by Polynomials II
We continue study of equilibrium of two species of 2d coulomb charges (or point vortices in 2d ideal fluid) started in (Igor Loutsenko, J. Phys. A: Math. Gen. 37, 1309, 2004). Although for two…
Igor Loutsenko, Oksana YermolayevaOct 2, 2024
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Path Integral for Multiplicative Noise: Generalized Fokker-Planck Equation and Entropy Production Rate in Stochastic Processes With Threshold
This paper introduces a comprehensive extension of the path integral formalism to model stochastic processes with arbitrary multiplicative noise. To do so, It\o diffusive process is generalized by…
F. S. Abril-Bermúdez, C. J. Quimbay, J. E. Trinidad-Segovia et al.Oct 2, 2024
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Phase Transition in Long-Range q-state Models via Contours. Clock and Potts Models with Fields
Using the group structure of the state space of q-state models, a new definition of contour for long-range spin-systems in d (d≥ 2), and a multidimensional version of Fr\"ohlich-Spencer…
Lucas Affonso, Rodrigo Bissacot, Gilberto Faria et al.Oct 2, 2024
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Dipole Formation in the Two-Component Plasma
We consider the two-dimensional two-component plasma, or Coulomb gas, consisting of N positive and N negative charges with logarithmic interaction. We introduce a suitable regularization of the…
Jeanne Boursier, Sylvia SerfatyOct 1, 2024
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Free cumulants and freeness for unitarily invariant random tensors
We address the question of the asymptotic description of random tensors that are local-unitary invariant, that is, invariant by conjugation by tensor products of independent unitary matrices. We…
Benoit Collins, Razvan Gurau, Luca LionniOct 1, 2024
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Finite-dimensional reductions and finite-gap type solutions of multicomponent integrable PDEs
The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well-known equations such as…
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. MatveevOct 1, 2024
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Self-distributive structures, braces & the Yang-Baxter equation
The theory of the set-theoretic Yang-Baxter equation is reviewed from a purely algebraic point of view. We recall certain algebraic structures called shelves, racks and quandles. These objects…
Anastasia DoikouSep 30, 2024
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Uncovering Hidden Patterns: Approximate Resurgent Resummation from Truncated Series
We analyze truncated series generated as divergent formal solutions of non-linear ordinary differential equations. Motivating the study is a specific non-linear, first-order differential equation,…
Alessio Maiezza, Juan Carlos VasquezSep 30, 2024
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Counting Bethe States in Twisted Spin Chains
We present a counting formula that relates the number of physical Bethe states of integrable models with a twisted boundary condition to the number of states in the untwisted or partially twisted…
Hongfei Shu, Peng Zhao, Rui-Dong Zhu et al.Sep 30, 2024
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Dirac bag model on thin domains: a microlocal viewpoint
The Dirac operator is considered on a bidimensional domain whose boundary carries the infinite mass boundary condition. The analysis is focused on the existence of discrete spectrum and on its…
Loïc Le Treust, Thomas Ourmières-Bonafos, Nicolas RaymondSep 30, 2024
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Zeros of planar Ising models via flat SU(2) connections
Livine and Bonzom recently proposed a geometric formula for a certain set of complex zeros of the partition function of the Ising model defined on planar graphs. Remarkably, the zeros depend locally…
Marcin LisSep 29, 2024
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Periodic boundary conditions on staggered grids: Uniqueness of variables at cell edges/faces
Periodic boundary conditions when applied to staggered grids, which define variables on both cell edges and cell centers, can be shown to have a problem with uniqueness of variables at cell edges…
Divyanshu GolaSep 27, 2024
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Electrostatic force between two charged spherical conductors in an electric field: Matched asymptotic expansion approach
In this study, we derive the asymptotic expressions for the electrostatic force between two charged spherical conductors in an electric field. Davis davis1964two initially provided an…
Natarajan Thiruvenkadam, Vishwanath Kadaba PuttannaSep 27, 2024
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Equivariant BV-BFV Formalism
The recently introduced equivariant BV formalism is extended to the case of manifolds with boundary under appropriate conditions. AKSZ theories are presented as a practical example.
Alberto S. Cattaneo, Nima MoshayediSep 27, 2024
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Canonical transformations: from the coordinate based approach to the geometric one
In this paper the theory of time-dependent and time-independent canonical transformations is considered from a geometric perspective. Both the geometric formalism and the coordinate based approach…
R. Azuaje, A. M. Escobar-RuizSep 27, 2024
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