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Mathematical Physics papers — page 175

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BV Quantization
This note gives an overview of the BV formalism in its various incarnations and applications.
Alberto S. Cattaneo, Pavel Mnev, Michele SchiavinaJul 15, 2023
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Non-Lyapunov annealed decay for 1d Anderson eigenfunctions
In [10] Jitomirskaya, Kr\"uger and Liu analysed the dynamical decay in expectation for the super-critical almost-Mathieu operator in function of the coupling parameter , showing that it is equal to…
Davide MaceraJul 14, 2023
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Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
A Dirac operator on the plane with constant (positive) mass is a Chern insulator, sitting in class D of the Kitaev table. Despite its simplicity, this system is topologically ill-behaved: the…
Sylvain Rossi, Alessandro TarantolaJul 14, 2023
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Weyl's law for Neumann Schr\"odinger operators on H\"older domains
We review recent results on the semiclassical behaviour of Schr\"odinger operators with Neumann boundary conditions. In this setting, the validity of Weyl's law requires additional conditions on…
Charlotte DietzeJul 14, 2023
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Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems
Lagrangian multiforms provide a variational framework to describe integrable hierarchies. The case of Lagrangian 1-forms covers finite-dimensional integrable systems. We use the theory of Lie…
Vincent Caudrelier, Marta Dell'Atti, Anup Anand SinghJul 14, 2023
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Destructive relativity
Relativistic Hamiltonian equations describing a motion of a point mass in an arbitrary homogeneous potential are considered. For the first time, the necessary integrability conditions for…
Maria Przybylska, Wojciech Szumiński, Andrzej J. MaciejewskiJul 14, 2023
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Anti-de Sitterian "massive" elementary systems and their Minkowskian and Newton-Hooke contraction limits
We elaborate the definition and properties of "massive" elementary systems in the (1+3)-dimensional Anti-de Sitter (AdS4) spacetime, on both classical and quantum levels. We fully exploit the…
Mohammad Enayati, Jean-Pierre Gazeau, Mariano A. del Olmo et al.Jul 13, 2023
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Quantum inverse scattering for time-decaying harmonic oscillators
Different from the usual harmonic oscillator, the time-decaying harmonic oscillator accelerates particles and generates scattering states. We study one of the multidimensional inverse scatterings in…
Atsuhide IshidaJul 13, 2023
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Domain Wall Solution Arising in Abelian Higgs Model Subject to Born-Infeld Theory of Electrodynamics
In this note we research the Abelian Higgs model subject to the Born-Infeld theory of electrodynamics for which the BPS equations can be reduced into a quasi-linear differential equation. We show…
Lei Cao, Xiao ChenJul 13, 2023
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Entanglement Entropy and Algebra in Quantum Field Theory
Quantum Field Theory (QFT) represents a vast generalization of Quantum Mechanics (QM), as it deals with systems that have an infinite number of degrees of freedom. The Stone-von Neumann theorem,…
Ahmed HalawaniJul 12, 2023
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Truncated affine Rozansky--Witten models as extended defect TQFTs
We apply the cobordism hypothesis with singularities to the case of affine Rozansky--Witten models, providing a construction of extended TQFTs that includes all line and surface defects. On a…
Ilka Brunner, Nils Carqueville, Pantelis Fragkos et al.Jul 12, 2023
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Microscopic derivation of Vlasov equation with compactly supported pair potentials
We present a probabilistic proof of the mean-field limit and propagation of chaos of a N-particle system in three dimensions with compactly supported pair potentials of the form $N3β-1…
Manuela Feistl, Peter PicklJul 12, 2023
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Infrared problem in quantum electrodynamics
The infrared problem in quantum electrodynamics consists of intriguing difficulties in scattering theory appearing at large scales and low energies. Although they can be circumvented using ad hoc…
Paweł Duch, Wojciech DybalskiJul 12, 2023
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Conformal and Contact Kinetic Dynamics and Their Geometrization
We propose a conformal generalization of the reversible Vlasov equation of kinetic plasma dynamics, called conformal kinetic theory. In order to arrive at this formalism, we start with the conformal…
Oğul Esen, Ayten Gezici, Miroslav Grmela et al.Jul 12, 2023
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A new perspective on nonholonomic brackets and Hamilton-Jacobi theory
The nonholonomic dynamics can be described by the so-called nonholonomic bracket on the constrained submanifold, which is a non-integrable modification of the Poisson bracket of the ambient space, in…
Manuel de León, Manuel Lainz, Asier López-Gordón et al.Jul 12, 2023
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Phase recovery from phaseless scattering data for discrete Schr\"odinger operators
We consider scattering for the discrete Schr\"odinger operator on the square lattice Zd, d 1, with compactly supported potential. We give formulas for finding the phased…
Roman Novikov, Basant Lal SharmaJul 12, 2023
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Harer-Zagier formulas for families of twisted hyperbolic knots
In an attempt to generalise knot matrix models for non-torus knots, which currently remains an open problem, we derived formulas for the Harer-Zagier transform of the HOMFLY-PT polynomial for some…
Andreani Petrou, Shinobu HikamiJul 12, 2023
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Localization in the Incommensurate Systems: A Plane Wave Study via Effective Potentials
In this paper, we apply the effective potentials in the localization landscape theory (Filoche et al., 2012, Arnold et al., 2016) to study the spectral properties of the incommensurate systems. We…
Ting Wang, Yuzhi Zhou, Aihui ZhouJul 11, 2023
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On the gap probability of the tacnode process
The tacnode process is a universal determinantal point process arising from non-intersecting particle systems and tiling problems. It is the aim of this work to explore the integrable structure and…
Luming Yao, Lun ZhangJul 11, 2023
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Universal first-order Massey product of a prefactorization algebra
This paper studies the universal first-order Massey product of a prefactorization algebra, which encodes higher algebraic operations on the cohomology. Explicit computations of these structures are…
Simen Bruinsma, Alexander Schenkel, Benoit VicedoJul 10, 2023
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Topological recursion of the Weil-Petersson volumes of hyperbolic surfaces with tight boundaries
The Weil-Petersson volumes of moduli spaces of hyperbolic surfaces with geodesic boundaries are known to be given by polynomials in the boundary lengths. These polynomials satisfy Mirzakhani's…
Timothy Budd, Bart ZonneveldJul 10, 2023
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Phase space for gravity with boundaries
This explanatory note, based on the geometrical method by Kijovski and Tulczyjew, describes the construction of the reduced phase space of Lagrangian field theories, i.e., the correct space of…
Alberto S. CattaneoJul 10, 2023
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Biorthogonal polynomials related to quantum transport theory of disordered wires
We consider the Plancherel-Rotach type asymptotics of the biorthogonal polynomials associated to the biorthogonal ensemble with the joint probability density function equation* 1C…
Dong Wang, Dong YaoJul 7, 2023
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Classical correspondence beyond the Ehrenfest time for open quantum systems with general Lindbladians
Quantum and classical systems evolving under the same formal Hamiltonian H may dramatically differ after the Ehrenfest timescale tE (-1), even as 0. Coupling the…
Felipe Hernández, Daniel Ranard, C. Jess RiedelJul 7, 2023
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Analysis of a one-dimensional Hamiltonian with a singular double well consisting of two nonlocal δ' interactions
The objective of the present paper is the study of a one-dimensional Hamiltonian with the interaction term given by the sum of two nonlocal attractive δ'-interactions of equal strength and…
Silvestro Fassari, Manuel Gadella, Luis-Miguel Nieto et al.Jul 7, 2023
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