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Mathematical Physics papers — page 11

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Spinors beyond Dirac, Weyl and Majorana: the Flag-Dipoles
We recall the Lounesto classification of 1/2-spin spinor fields, based on the vanishing of spinorial bilinear quantities: the classes are the regular spinor fields (i.e. the Dirac field), as well as…
Luca FabbriJul 20, 2026
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Entropic Collapse and Extreme First-Passage Times in Discrete Ballistic Transport
We investigate the extreme first-passage statistics of N non-interacting random walkers on discrete, hierarchical networks. By distinguishing between transport limited by escape from localized…
Bhargav R. KaramchedJul 20, 2026
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Dyson expansion for form-bounded perturbations and applications to the polaron problem
We present an abstract Dyson expansion for perturbations that are merely relatively form-bounded, and apply it to the polaron problem. For a large class of polaron-type models, including the Fröhlich…
Davide Desio, Robert SeiringerJul 20, 2026
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Homotopies for Lagrangian field theory
Consider the variational bicomplex for E the space of sections of a graded, affine bundle. Local functionals F are defined as an equivalence class of density-valued…
Michele Schiavina, Jonas SchnitzerJul 20, 2026
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Derivation of the Chern-Simons-Schrödinger equation from the dynamics of an almost-bosonic-anyon gas
We study the time evolution of an initial product state in a system of almost-bosonic-extended-anyons in the large-particle limit. We show that the dynamics of this system can be well approximated,…
Théotime Girardot, Jinyeop LeeJul 20, 2026
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Fouling maps and polynomial first integrals from symmetric tensor fields
Under the framework of time-independent Hamiltonian mechanics on the cotangent bundles T*Q of the configuration spaces Q of mechanical systems, we introduce the concept of fouling map as a…
Rafael Azuaje, Juan Carlos Marrero, Edith PadrónJul 19, 2026
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Moving Collinear Cracks in a Prestressed Dry Sandy Medium Fracture Response under Traveling Punch Loads
The dynamic fracture behaviour of two moving collinear Griffith cracks in an initially stressed dry sandy medium subjected to concentrated crack-face loading and moving punch pressure is…
Diksha, Soniya Chaudhary, Pawan Kumar SharmaJul 19, 2026
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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
We show that scalar discrete-series unitary irreducible representations (UIRs) Πp,0 (p=1,2,·s) of the de Sitter (dS) group SO0(1,4) admit a dS-covariant Krein realization on…
Maryam Bajalan, Jean-Pierre Gazeau, Hamed PejhanJul 19, 2026
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A Complete Classification of Low-Order Conservation Laws for a Generalized Fifth-Order KP Family
A complete classification of local conservation laws with multipliers of differential order at most two is obtained for a generalized fifth-order Kadomtsev--Petviashvili family. The classification is…
Nitin SerwaJul 19, 2026
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Quantum Systems at The Brink: Helium-type systems
In the present paper we study two challenging problems for helium-type systems. Existence of eigenvalues at thresholds and the asymptotic behavior of the corresponding eigenfunctions. Since the usual…
Dirk Hundertmark, Michal Jex, Markus LangeJul 19, 2026
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Boundary Free Energies in Disordered Ising Models
The boundary correction to the free energy of a disordered Ising model depends on the boundary condition, the normalization, and the finite-volume sequence. We give a one-dimensional i.i.d.…
Hexiang Wang, Keheng Zhu, Mauris ChuengJul 18, 2026
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Stochastic stability of master--slave synchronization for dissipative PDEs with Burgers-type nonlinearity
We investigate the stochastic stability of master--slave synchronization for a class of nonlinear dissipative PDEs with Burgers-type nonlinearity and polynomial linear operator, including the…
Joaquín Miguez, Inés P. MariñoJul 18, 2026
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The Lee-Yang property of the Blume-Capel model
The Lee-Yang theory is based on the theorem concerning a property of the ferromagnetic Ising model partition function proved by T. D. Lee and C. N. Yang in 1952. It provides powerful tools for…
Yuri Kozitsky, Yurij HolovatchJul 18, 2026
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Subextensive Random Boundary Perturbations in the Short-Range Edwards--Anderson Model
We consider the nearest-neighbor Edwards--Anderson Ising model on cubic boxes with random perturbations supported at the boundary. We prove that any perturbation admitting an energy envelope that is…
Hexiang Wang, Keheng Zhu, Mauris ChuengJul 18, 2026
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Approximate thermodynamics of the two-dimensional Ising model in an external magnetic field
We introduce approximate expressions for the thermodynamics of the two-dimensional Ising model in an external magnetic field. The external field breaks the system's symmetry, which complicates…
Mathieu GaudreaultJul 18, 2026
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Global Structure in the Presence of a Topological Defect
We investigate the global structure of topological defects which wrap a submanifold F⊂ M in a quantum field theory defined on a closed manifold M. The Pontryagin-Thom construction oversees…
Arun Debray, Weicheng Ye, Matthew YuJul 18, 2026
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Frame Representation of the First-Order Part of the Laplace-Beltrami Operator
We investigate the geometric content of the first-order part of the Laplace--Beltrami operator on an oriented Riemannian manifold. Relative to an arbitrary local orthonormal frame, the first-order…
A. G. NuramatovJul 17, 2026
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Inertial motion of incompressible continua
We study the inertial motion of incompressible continua within a geometric and variational framework, extending the classical Arnold-Ebin-Marsden theory from the group of volume-preserving…
Francesca Berlinghieri, Giulio G. GiusteriJul 17, 2026
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Variational modeling adapted to the medium with gradient properties
This study aims to develop a numerical homogenization method that can be applied to a heterogeneous stratified medium. Traditional scale transition methods are inadequate in capturing the essential…
Azdine Nait-Ali, Sami Ben Elhaj SalahJul 17, 2026
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Metric tensors and two-forms in information geometry from the GNS construction
We develop a GNS-based construction of geometric tensors on smooth parametric statistical models over C*-algebras. Since the state space of a C*-algebra is generally not a smooth manifold, the…
M. Castrillón López, F. M. Ciaglia, L. González-Bravo et al.Jul 17, 2026
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Extended group analysis and conservation laws of a class of variable coefficient generalized Kawahara equations
We review and extend the results on the group analysis of a class of generalized Kawahara equations with time-dependent coefficients. First, we provide an overview of the existing literature on Lie…
Olena Vaneeva, Alexander Zhalij, Olena Magda et al.Jul 17, 2026
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Measuring a quantum system without problems
The process of measuring quantum observables has been plagued, since the inception of quantum mechanics, by the so-called measurement problem: it is impossible to read a definite outcome on a quantum…
Marco Falconi, Clotilde Fermanian Kammerer, Raphaël GautierJul 17, 2026
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Deferred Cyclotomic Representation for Stable and Exact Evaluation of q-Hypergeometric Series
We introduce a cyclotomic representation for finite q-hypergeometric series and q-deformed amplitudes that separates algebraic structure from evaluation. By expressing each summand in a sparse…
Seth K. AsanteJul 17, 2026
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Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line
Dyson [Commun. Math. Phys. 12, 91 (1969)] rigorously proved the existence of a phase transition in the one-dimensional Ising model with long-range interactions of the form r-α for 1 < α< 2. In…
Manaka Okuyama, Masayuki OhzekiJul 17, 2026
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"Goldfish'' equations for infinitely many particles
The ``goldfish'' equations, so named because of their striking beauty, are a system of N nonlinear ODE's, where N is an arbitrary integer. They can be solved exactly in a very simple…
Francois LeyvrazJul 16, 2026
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