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Mathematical Physics papers — page 21

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From Noncommutative Kinematics to \(U(1)\) Gauge Theory: A Family of Spectral Triples with Localized Gauge Perturbations
We construct locally compact non-unital spectral triples for a noncommutative planar system determined by a fixed nondegenerate irreducible unitary sector of the kinematical symmetry group…
Tanmoy Kumar Sarkar, Md. Rafsanjany Jim, S. Hasibul Hassan ChowdhuryJun 17, 2026
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Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid
We propose analogs of the generalized MICZ-Kepler system on the three-dimensional sphere and the two-sheet hyperboloid. We construct their energy spectra and normalized wave functions and find that…
Levon Mardoyan, Armen NersessianJun 17, 2026
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Model Reduction of Multivariate Geometric Brownian Motions and Localization in a Two-State Quantum System
We develop a systematic framework for the model reduction of multivariate geometric Brownian motions (GBMs), a fundamental class of stochastic processes with broad applications in mathematical…
C. Chen, M. Colangeli, M. H. Duong et al.Jun 17, 2026
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Holography for bulk-boundary local topological order
In our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for quantum spin systems which allowed us to define a physical boundary (associated to a cut of the…
Corey Jones, Pieter Naaijkens, David PenneysJun 17, 2026
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An operator algebraic approach to symmetry defects and fractionalization
We provide a superselection theory of symmetry defects in 2+1D symmetry enriched topological (SET) order in the infinite volume setting. For a finite symmetry group G with a unitary on-site action,…
Kyle Kawagoe, Siddharth Vadnerkar, Daniel WallickJun 17, 2026
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The FBSDE approach to sine-Gordon up to 6π
We develop a stochastic analysis of the sine-Gordon Euclidean quantum field ( (βφ))2 on the full space up to the second threshold, i.e. for β2 < 6 π. The basis of our method is a…
Massimiliano Gubinelli, Sarah-Jean MeyerJun 17, 2026
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Elastic Surface Instability as a Topological Phase Transition
The macroscopic instability of soft materials undergoing extreme deformations is traditionally viewed as a pure structural or mechanical failure. Driven by the quest to uncover universal principles…
Yu-Xin XieJun 16, 2026
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Average entropy of Bogoliubov-Kubo-Mori random state ensemble
Random states play a foundational role in different branches of modern quantum science. In this work, we study a recently proposed random state ensemble induced from von Neumann entropy through the…
Sohail, Lu WeiJun 16, 2026
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Counterexamples to the L1 and L∞ boundedness of the one-dimensional wave operators
It is well established that the wave operators W(H,-Δ) for the one-dimensional Schrödinger operator H=-Δ+V(x) are bounded on Lp(R) for all 1<p<∞ in both generic and…
Sisi Huang, Xiaohua YaoJun 16, 2026
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When Volumetric Growth Selects Surface Growth
We investigate the relationship between volumetric and surface growth within a recently proposed optimization-driven framework for linearly elastic solids. In this approach, growth is not prescribed…
Rohn Abeyaratne, Roberto Paroni, Marco Picchi ScardaoniJun 16, 2026
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Moment generating function of the tacnode process
The tacnode process is a universal determinantal point process arising in non-intersecting particle systems and random tiling models. In this paper, we study the generating function for the counting…
Taiyang XuJun 16, 2026
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Semiclassical Analysis of Tunneling in Graphene under Nonuniform Electrostatic and Magnetic Fields
We develop a semiclassical theory of tunnelling of Dirac fermions through an n-p-n junction in monolayer graphene subjected to a perpendicular magnetic field. Electrostatic and magnetic fields are…
Maria V. PerelJun 16, 2026
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Homogeneous Boltzmann-type equations on dense graphs
In kinetic theory, interactions between particles are typically assumed to be "all-to-all", meaning that any pair of randomly selected particles may, in principle, interact. This assumption…
Gabriele Taricco, Andrea TosinJun 16, 2026
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Self-Adjointness of the Standard Model of Non-Relativistic QED
For systems of non-relativistic charged particles minimally coupled to the soft modes of the quantized radiation field, we prove self-adjointness on the domain of the free Hamiltonian. This result is…
Valentin KußmaulJun 16, 2026
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Cyclic F-manifolds, distinguished connections and integrability
We show that the geometry of Hertling-Manin F-manifolds (M,,e) provide the appropriate theoretical framework for studying the integrability of quasilinear systems of first-order evolutionary…
Alessandro Arsie, Paolo LorenzoniJun 16, 2026
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Asymptotic Momentum of Dirac Particles in One Space Dimension
We analyze the trajectories of a massive particle in one space dimension whose motion is guided by a spin-half wave function that evolves according to the free Dirac equation, with its initial wave…
Kabir Narayanan, Abigail Perryman, A. Shadi Tahvildar-ZadehJun 16, 2026
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Derived algebraic geometry of 2d lattice Yang-Mills theory
A derived algebraic geometric study of classical GLn-Yang-Mills theory on the 2-dimensional square lattice Z2 is presented. The derived critical locus of the Wilson action…
Marco Benini, Tomás Fernández, Alexander SchenkelJun 16, 2026
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The Algebra of Units: From Buckingham's Pi-grec Theorem to Latent-Variable Learning
Engineers often measure many quantities-speed, pressure, temperature, length-expressed in different physical units. The Buckingham Pi-grec theorem states that these variables can always be combined…
Mauro ValoraniJun 15, 2026
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Boundary monopole bubbling and Macdonald kernels for non-minuscule 't Hooft lines in N=4 SYM
We study half-BPS boundary 't Hooft lines of non-minuscule magnetic charge in four-dimensional N=4 U(N) super Yang--Mills theory with the regular Nahm-pole boundary condition. In…
Ruiliang LiJun 15, 2026
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q-Deformed Topological Recursion, Weight Vectors and Algebraic Structures
We investigate a q-deformation of the shifted topological recursion, extending the construction of Belliard-Bouchard-Kramer-Nelson to the context of quantum algebras. Through the study of highest…
Fridolin Melong, Raimar WulkenhaarJun 15, 2026
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Engineering classical waves with quantized energy spectra in periodic media
Field quantization is a central feature of modern physics, that underpins the concept of photons and forms the foundation of quantum electrodynamics as well as much of solid-state theory. Classical…
Arnaud Lazarus, Georgi Gary Rozenman, John W. M. BushJun 15, 2026
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Floquet Theory of the LC Circuit with Modulated Capacitance
Parametric resonance -- periodic variation of a system parameter driving exponential growth of oscillations -- is among the most fundamental instabilities in physics and engineering. The…
Alexander FigotinJun 15, 2026
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Global exponential stability for the three-dimensional Navier-Stokes equations on hyperbolic space
We prove that the three-dimensional incompressible Navier-Stokes equations with the deformation Laplacian on hyperbolic 3-space 3 admit a unique global mild solution for sufficiently small…
Zhi-Wei Wang, Samuel L. BraunsteinJun 15, 2026
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Covariant Lie Derivatives and (Super-)Gravity
The slightly subtle notion of covariant Lie derivatives of bundle-valued differential forms is crucial in many applications in physics, notably in the computation of conserved currents in…
Grigorios GiotopoulosJun 15, 2026
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von Neumann's Minimax Theorem for Continuous Quantum Games
The concept of a classical player, corresponding to a classical random variable, is extended to include quantum random variables in the form of self adjoint operators on infinite dimensional Hilbert…
Luigi Accardi, Andreas BoukasJun 15, 2026
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