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Mathematical Physics papers — page 194

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Staggered dispersions: Part I. Shocliton, quantum revival and fractalization
Alternating the signs of the frequencies for Fourier components with even and odd (normalized) wavenumbers in the nonlinear-wave, such as the Korteweg-de Vries, equations maintains a constantly…
Jian-Zhou ZhuFeb 22, 2023
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Higher Courant-Dorfman algebras and associated higher Poisson vertex algebras
In this paper, we consider a notion of a higher version of the relation between Courant-Dorfman algebras and Poisson vertex algebras. We define a higher Courant-Dorfman algebra, and study the…
Ryo HayamiFeb 22, 2023
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Double Interlacing in Random Tiling Models
Random tilings of very large domains will typically lead to a solid, a liquid, and a gas phase. In the two-phase case, the solid-liquid boundary (arctic curve) is smooth, possibly with singularities.…
Mark Adler, Pierre van MoerbekeFeb 22, 2023
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A New Method for the Calculation of Functional and Path Integrals
Functional integrals are central to modern theories ranging from quantum mechanics and statistical thermodynamics to biology, chemistry, and finance. In this work we present a new method for…
Amos A. Hari, Sefi GivliFeb 22, 2023
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The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions
The Dunkl Laplacian is used to define the Hamiltonian of a modified quantum harmonic oscillator, associated with any finite reflection group. The potential is a sum of the inverse squares of the…
Charles F. DunklFeb 21, 2023
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Quantum causality in -Minkowski and related constraints
We study quantum causal structures in 1+1 -Minkowski space-time described by a Lorentzian Spectral Triple whose Dirac operator is built from a natural set of twisted derivations of the…
Nicolas Franco, Kilian Hersent, Valentine Maris et al.Feb 21, 2023
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Lipschitz Stability Estimate and Uniqueness in the Retrospective Analysis for The Mean Field Games System via Two Carleman Estimates
A retrospective analysis process for the mean field games system (MFGS) is considered. For the first time, Carleman estimates are applied to the analysis of the MFGS. Two new Carleman estimates are…
Michael V. Klibanov, Yurii AverboukhFeb 21, 2023
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On consistency of perturbed generalised minimal models
We consider the massive perturbation of the Generalised Minimal Model introduced by Al. Zamolodchikov. The one-point functions in this case are supposed to be described by certain function…
Hermann Boos, Fedor SmirnovFeb 21, 2023
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An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism
In the realm of complex systems, dynamics is often modeled in terms of a non-linear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Gaussian white noise.…
Alberto Bonicelli, Claudio Dappiaggi, Nicolò DragoFeb 21, 2023
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On the Uniqueness of Co-circular Four Body Central Configurations
We study central configurations lying on a common circle in the Newtonian four-body problem. Using a topological argument we prove that there is at most one co-circular central configuration for each…
Manuele SantopreteFeb 20, 2023
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Representation theory in the construction of free quantum field
This is mainly a lecture note taken by myself following Weinberg's book, but also contains some corrections to the abuse of mathematical treatment. This article discusses projective unitary…
Zixuan FengFeb 20, 2023
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Exponentially stable breather solutions in nonautonomous dissipative nonlinear Schr\"odinger lattices
We consider damped and forced discrete nonlinear Schr\"odinger equations on the lattice Z. First we establish the existence of periodic and quasiperiodic breather solutions for periodic…
Dirk HennigFeb 20, 2023
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Semiclassical analysis, geometric representation and quantum ergodicity
In this paper, we prove the equidistribution property of high-frequency eigensections of a certain series of unitary flat bundles, using the mixture of semiclassical and geometric quantizations.
Minghui Ma, Qiaochu MaFeb 19, 2023
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New Objects in Scattering Theory with Symmetries
We consider 1D quantum scattering problem for a Hamiltonian with symmetries. We show that the proper treatment of symmetries in the spirit of homological algebra leads to new objects, generalizing…
Andrey S. Losev, Tim V. SulimovFeb 19, 2023
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Renormalization on the DFR Quantum Spacetime
An approach to renormalization of scalar fields on the Doplicher-Fredenhagen-Roberts (DFR) quantum spacetime is presented. The effective non-local theory obtained through the use of states of optimal…
J. F. López, A. F. Reyes-LegaFeb 18, 2023
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Generalized Abelian Turaev-Viro and U\!(1) BF Theories
We explain how it is possible to study U\!(1) BF theory over a connected closed oriented smooth 3-manifold in the formalism of path integral thanks to Deligne-Beilinson…
Emil Høssjer, Philippe Mathieu, Frank ThuillierFeb 17, 2023
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Affine Dihedral Subgroups of Higher Dimensional Cubic Lattices Zn and Quasicrystallography
Quasicrystals described as the projections of higher dimensional cubic lattices, and the particular affine extensions of the dihedral group I2(h) of order 2h, h=2n being the Coxeter number, as…
Nazife Ozdes Koca, Mehmet Koca, Ramazan Koc et al.Feb 17, 2023
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Relieving nematic geometric frustration in the plane
Frustration in nematic-ordered media (endowed with a director field) is treated in a purely geometric fashion in a flat, two-dimensional space. We recall the definition of quasi-uniform distortions…
Andrea Pedrini, Epifanio G. VirgaFeb 16, 2023
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On blowups of vorticity for the homogeneous Euler equation
Blowups of vorticity for the three- and two- dimensional homogeneous Euler equations are studied. Two regimes of approaching a blowup points, respectively, with variable or fixed time are analysed.…
B. G. Konopelchenko, G. OrtenziFeb 16, 2023
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Scattering theory for some non-self-adjoint operators
We consider a non-self-adjoint H given as the perturbation of a self-adjoint operator H0. We suppose that H is of the form H=H0+CWC where C is a bounded, positive definite and relatively…
Nicolas FrantzFeb 15, 2023
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Characterisation of the Set of Ground States of Uniformly Chaotic Finite-Range Lattice Models
Chaotic dependence on temperature refers to the phenomenon of divergence of Gibbs measures as the temperature approaches a certain value. Models with chaotic behaviour near zero temperature have…
Léo Gayral, Mathieu Sablik, Siamak TaatiFeb 14, 2023
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Low temperature asymptotic expansion for classical O(N) vector models
We consider classical O(N) vector models in dimension three and higher and investigate the nature of the low-temperature expansions for their multipoint spin correlations. We prove that such…
Alessandro Giuliani, Sébastien OttFeb 14, 2023
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The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon
We define and analyze the fermionic entanglement entropy of a Schwarzschild black hole horizon for the regularized vacuum state of an observer at infinity. Using separation of variables and an…
Felix Finster, Magdalena LottnerFeb 14, 2023
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Quantizing graphs, one way or two?
Quantum graphs were introduced to model free electrons in organic molecules using a self-adjoint Hamiltonian on a network of intervals. A second graph quantization describes wave propagation on a…
Jon HarrisonFeb 14, 2023
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What is the Seiberg-Witten map exactly?
We give a conceptual treatment of the Seiberg-Witten map as a quasi-isomorphism of A∞-algebras.
Vladislav Kupriyanov, Alexey SharapovFeb 14, 2023
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