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Mathematical Physics papers — page 5

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Renormalizations in holomorphic field theories on Kähler manifolds
The divergence of Feynman graph integrals is one of the central issues in the study of perturbative quantum field theories. A rigorous formulation of these integrals usually requires renormalization.…
Minghao Wang, Junrong YanAug 6, 2026
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Hyperbolic Completion of Newton's Off-Center Orbit Problem: SO(2,1) Symmetry, Inversion Duality, and Magnetic Classification
Which central forces produce circular trajectories whose geometric center differs from the force center? We solve the hyperbolic version of this problem for V(r)=-α(R2-r2)2, α>0,…
Dipesh BhandariAug 6, 2026
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Time-marching representation based quantum algorithms for the Lattice Boltzmann model of the advection-diffusion equation
This article introduces a novel framework for developing quantum algorithms for the Lattice Boltzmann Method (LBM) applied to the advection-diffusion equation. We formulate the collision-streaming…
Yuan He, Yuan Yu, Yue YuAug 6, 2026
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Boundary structure of gauge fields on asymptotically AdS spaces
We study the boundary structure of asymptotically AdS gravity and (gauge) fields defined on this background by employing the gauge PDE approach. The essential step of the construction is the…
Maxim Grigoriev, Mikhail MarkovAug 6, 2026
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The index of a pair of pure states and the interacting integer quantum Hall effect
We introduce the index N(ω1,ω2) of a pair of pure states on a unital C*-algebra, which is a generalization of the notion of the index of a pair of projections on a Hilbert space. We…
Sven Bachmann, Jacob Shapiro, Clément TauberAug 6, 2026
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Transparent boundary conditions for the spatially discrete Schrödinger equation: Reflectionless quantum transport in 1D lattices
We construct exact transparent boundary conditions (TBCs) for a time-continuous, spatially discrete Schrödinger equation that models a one-dimensional quantum lattice. Using a recently developed…
Mashrab E. Akramov, Jambul R. Yusupov, Matthias Ehrhardt et al.Aug 5, 2026
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Phase transitions in generalized XY models
We associate height function models to a range of generalized two-dimensional XY models and prove that delocalisation of the height function model rules out exponential decay of the nematic order…
Fabio PlagaAug 5, 2026
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Multi-frequency far-field data enrichment for electromagnetic source reconstruction
Reconstructing unknown electromagnetic sources from far-field radiation patterns is a fundamental inverse problem with broad applications in biomedical imaging, non-destructive testing, and…
Atyab Khalifa Al-Shaqsi, Heba Mohammed Al-Subhi, Xianchao Wang et al.Aug 5, 2026
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Lee-Yang Zeros And Particle Fluctuations
We consider classical particles in the continuum in the grand canonical ensemble, with a stable, tempered and lower-regular pair potential and boundary conditions of uniformly bounded density. We…
Mohamed El Hedi Bahri, Ian Jauslin, Joel L. LebowitzAug 5, 2026
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Jordan-Twist Bethe Ansatz and Many-Body Exceptional-Point Amplification in the Finite-U Anderson Impurity
We construct an interacting integrable realization of many-body exceptional-point amplification in the static equal-velocity linearized finite-U Anderson impurity. Two spin-orbit branches are…
Vinayak M. KulkarniAug 5, 2026
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Local measurements and the entanglement transition in quantum spin chains
We consider the transition between short-range entangled (SRE) and long-range entangled states of infinite quantum spin chains which is induced by local measurements. Specifically, we assume that the…
Sven Bachmann, Mahsa Rahnama, Gabrielle TournaireAug 5, 2026
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Irreversible dynamics on Poisson manifolds
We present a geometric construction of irreversible dynamics on Poisson manifolds that satisfies the axioms of metriplectic mechanics and the GENERIC framework. Our approach relies solely on the…
Erwin LuesinkAug 5, 2026
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On the dependence of the zero-free region of a partition function on the external field
Let \0, 1\n be the Boolean cube, endowed with the probability product measure, where P(1)=p and P(0)=q with 0 < p ≤ q and p+q=1. For i=1, …, m, let $ϕi: \0,…
Alexander BarvinokAug 4, 2026
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A Tau function for q-Painlevé VI as a Fredholm determinant
We give an analytic construction of a tau function for the q-difference sixth Painlevé equation (qPVI) as a Fredholm determinant through the general Riemann-Hilbert problem associated with it. We…
Harini Desiraju, Pieter RoffelsenAug 4, 2026
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The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation
In this paper, we mainly investigate the overtaking collision problem between a dispersive shock wave (DSW) and a rarefaction wave (RW) propagating in the same direction in the defocusing Hirota…
Yuan Xiang, Rui GuoAug 4, 2026
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From Convex to Non-convex: Evolution of Rarefaction-dispersive shock interactions and the Influence of Non-convexity
In this paper, we focus on the analytical description of the interaction between a rarefaction and dispersive shock wave across both convex and non-convex cases, with particular attention to the…
Jia-Xue Niu, Rui Guo, Hua-Ying Ren et al.Aug 4, 2026
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Quantum Turing Patterns
We construct quantum Turing patterns in Lindblad lattice dynamics and establish a rigorous theory of their nonlinear order and quantum fluctuations. For an explicit family of completely positive…
Kazuki IkedaAug 4, 2026
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Quantum estimates for classical polynomial optimization
The problem of finding lower and upper bounds on multivariate homogeneous polynomials is both difficult and important given its applications to questions ranging from dynamical stability in complex…
Oleg EvninAug 4, 2026
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A maximal Hohenberg-Kohn theorem for non-interacting systems via potential theory
We show that for Schrödinger operators in a connected domain, the Hohenberg-Kohn theorem holds within the class of Laplace form-bounded external potentials if and only if the single-particle density…
Thiago Carvalho CorsoAug 4, 2026
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The bosonic Hubbard model on a three dimensional flat band lattice
The lowest eigenstates of the hopping matrix on the line graph of a cubic lattice with periodic boundary conditions are highly degenerate, they form a lowest flat band. Further, these states are…
Leon Haag-Fank, Andreas MielkeAug 4, 2026
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Fold of a bifurcation solution from the figure-eight choreography in the three body problem
In the figure-eight choreography in the classical three-body problem, both-side bifurcation solutions sometimes fold on one side of the bifurcation point with cusp of action. Three numerical examples…
Hiroshi Fukuda, Hiroshi OzakiAug 4, 2026
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Irreversibility and randomness
We make the idea of "molecular chaos" precise through algorithmic randomness of microscopic trajectories. Apart from making this idea concrete, this has three advantages. First, it sharpens…
Nino Dekkers, Klaas LandsmanAug 4, 2026
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Subalgebras of Lie algebras. Example of sl(3,R) revisited
Revisiting the results by Winternitz [Symmetry in physics, CRM Proc. Lecture Notes 34, American Mathematical Society, Providence, RI, 2004, pp. 215-227], we thoroughly refine his classification of…
Yevhenii Yu. Chapovskyi, Serhii D. Koval, Olha ZhurAug 4, 2026
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Selection criteria for the compressible Euler equations: numerical study
We numerically investigate selection criteria for dissipative weak solutions of the compressible Euler equations. Using the Kelvin-Helmholtz problem as a benchmark, we compare four standard numerical…
Megala Anandan, Bahulayan Chalil Aravind, Mária Lukáčová-Medvid'ová et al.Aug 3, 2026
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Topological Recursion and Quantum Path Signatures
We introduce a non-commutative Laplace transform between functionals on path space and formal series in a tensor algebra, under which a natural convolution of path functionals becomes an algebraic…
Inês Aniceto, Thomas Cass, Samuel CrewAug 3, 2026
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