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Mathematical Physics papers — page 211

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Topological polarization in disordered systems
Deformations in piezoelectric materials lead to conduction effects, which are due to two contributions: the relative displacements of the ionic cores, and the so-called orbital polarization. This…
Giuseppe De Nittis, Danilo PoloOct 18, 2022
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Microscopic Derivation of Ginzburg-Landau Theory and the BCS Critical Temperature Shift in General External Fields
We consider the Bardeen-Cooper-Schrieffer (BCS) free energy functional with weak and macroscopic external electric and magnetic fields and derive the Ginzburg-Landau functional. We also provide an…
Andreas Deuchert, Christian Hainzl, Marcel MaierOct 17, 2022
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The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Mller operators
This paper deals with several issues concerning the algebraic quantization of the real Proca field in a globally hyperbolic spacetime and the definition and existence of Hadamard states for that…
Valter Moretti, Simone Murro, Daniele VolpeOct 17, 2022
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Algebraic structures underlying quantum independences : Theory and Applications
The present survey results from the will to reconcile two approaches to quantum probabilities: one rather physical and coming directly from quantum mechanics, the other more algebraic. The second…
Raphael Chetrite, Frederic PatrasOct 17, 2022
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Nonautonomous k-contact field theories
This paper provides a new geometric framework to describe non-conservative field theories with explicit dependence on the space-time coordinates by combining the k-cosymplectic and k-contact…
Xavier RivasOct 17, 2022
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Nonlinear Schr\"odinger equations with trapping potentials in higher dimensions
From the mathematical side, nonlinear Schr\"odinger equations are usually investigated via variational methods, that cease to work in higher dimensions. This thesis tries to overcome this problem by…
Filip FicekOct 17, 2022
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New Role of Null Lagrangians in Derivation of Equations of Motion for Dynamical Systems
The space of Null Lagrangians is the least investigated territory in dynamics since they are identically sent to zero by their Euler-Lagrange operator and thereby having no effects on equations of…
Rupam Das, Z. E. MusielakOct 17, 2022
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Exponents for Hamiltonian paths on random bicubic maps and KPZ
We evaluate the configuration exponents of various ensembles of Hamiltonian paths drawn on random planar bicubic maps. These exponents are estimated from the extrapolations of exact enumeration…
Philippe Di Francesco, Bertrand Duplantier, Olivier Golinelli et al.Oct 17, 2022
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Berezin-type quantization on even-dimensional compact manifolds
In this article we show that a Berezin-type quantization can be achieved on a compact even dimensional manifold M2d by removing a skeleton M0 of lower dimension such that what remains is…
Rukmini Dey, Kohinoor GhoshOct 17, 2022
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A special D4-D2-branes configuration on K3 fiberation Calabi-Yau threefolds
We construct a special D4-D2-brane configuration on the K3 fibered Calabi-Yau threefolds: canonical D4-branes on K3 fiberations and another D2-branes on its base P1, by using the ordinary…
Fei WangOct 16, 2022
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Combinatorial Mori-Zwanzig Theory
We introduce a combinatorial version Mori-Zwanzig theory and develop from it a family of self-consistent evolution equations for the correlation function or Green's function of interactive many-body…
Yuanran ZhuOct 15, 2022
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The role of shape operator in gauge theories
We introduce the concept of shape operator and rotating blade (also known in the theory of embedded Riemannian manifolds as the second fundamental form and the Gauss map) in the realm of Yang-Mills…
Vaclav Zatloukal, Simon VedlOct 15, 2022
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Null Lagrangians and Gauge Functions in Dynamical Systems: Forces and Nonlinearities
Among different Lagrangians, null Lagrangians are known for having identically zero the Euler-Lagrange equation and, therefore, they have no effects on the resulting equations of motion. However,…
L. C. Vestal, Z. E. MusielakOct 14, 2022
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A holographic approach to the six-dimensional superconformal index
We present a conjectural description of the space of local operators on a stack of finitely many fivebranes in M theory at the level of the holomorphic twist. Our approach is through the lens of…
Surya Raghavendran, Brian R. WilliamsOct 14, 2022
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Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost
We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.
Rodrigue LelotteOct 14, 2022
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Classical Density Functional Theory: Representability and Universal Bounds
We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density (x). We study both the canonical and grand-canonical cases, assuming the…
Michal Jex, Mathieu Lewin, Peter S. MadsenOct 14, 2022
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Multisymplectic Constraint Analysis of Scalar Field Theories, Chern-Simons Gravity, and Bosonic String Theory
The (pre)multisymplectic geometry of the De Donder--Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical…
Joaquim Gomis, Arnoldo Guerra, Narciso Román-RoyOct 14, 2022
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On the Birman-Krein Theorem
It is shown that if X is a unitary operator so that a singular subspace of~U is unitarily equivalent to a singular subspace of~UX (or XU), for each unitary operator~U, then X is the…
Vanderléa R. Bazao, César R. de Oliveira, Pablo A. DiazOct 13, 2022
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Feynman checkers: number-theoretic properties
We study Feynman checkers, an elementary model of electron motion introduced by R. Feynman. In this model, a checker moves on a checkerboard, and we count the turns. Feynman checkers are also known…
Fedor Kuyanov, Alexey SlizkovOct 13, 2022
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Tensor Renormalization Group at Low Temperatures: Discontinuity Fixed Point
We continue our study of rigorous renormalization group (RG) maps for tensor networks that was begun in arXiv:2107.11464. In this paper we construct a rigorous RG map for 2D tensor networks whose…
Tom Kennedy, Slava RychkovOct 13, 2022
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Rigorous dynamical mean field theory for stochastic gradient descent methods
We prove closed-form equations for the exact high-dimensional asymptotics of a family of first order gradient-based methods, learning an estimator (e.g. M-estimator, shallow neural network, ...) from…
Cedric Gerbelot, Emanuele Troiani, Francesca Mignacco et al.Oct 12, 2022
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Spectral actions for q-particles and their asymptotics
For spectral actions consisting of the average number of particles and arising from open systems made of general free q-particles (including Bose, Fermi and classical ones corresponding to $q=…
Fabio Ciolli, Francesco FidaleoOct 12, 2022
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Limit cycles for dynamic crawling locomotors with periodic prescribed shape
We study the asymptotic behaviour of a family of dynamic models of crawling locomotion, with the aim of characterizing a gait as a limit property. The locomotors, which might have a discrete or…
Paolo Gidoni, Alessandro Margheri, Carlota RebeloOct 12, 2022
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Unitary, anomalous Master Ward Identity and its connections to the Wess-Zumino condition, BV formalism and L∞-algebras
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of spacetime and a classical Lagrangian. In one of our previous papers we have introduced additional…
Romeo Brunetti, Michael Dütsch, Klaus Fredenhagen et al.Oct 12, 2022
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Overcrowding and Separation Estimates for the Coulomb Gas
We prove several results for the Coulomb gas in any dimension d ≥ 2 that follow from isotropic averaging, a transport method based on Newton's theorem. First, we prove a high-density…
Eric ThomaOct 12, 2022
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