1695 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper introduces a novel regularization framework for the 2D incompressible Euler equations that preserves multi-phase transport structures through competing scalar markers, proving that the scheme converges to sharp vortex patch solutions as the sharpness parameter increases, with convergence failure precisely signaling the onset of geometric degeneracy in the interface dynamics.
This paper derives differential equations for N-dimensional Bagci-Hoggan orbitals with noninteger quantum numbers, demonstrating that Coulomb-Sturmians are a specific integer-valued case of these equations and that Guseinov's Psi-alpha-ETOs represent shifted-dimensional Coulomb-Sturmians rather than independent basis sets.
This paper develops a real-time Schwinger-Keldysh formulation of Krylov dynamics that treats Krylov complexity as an in-in observable, revealing an emergent phase-space description where semiclassical chaos and integrability-chaos crossovers are characterized by the behavior of Lanczos coefficients and their fluctuations.
This paper establishes a viscous viscoelastic correspondence principle demonstrating that the power spectrum of Brownian motion in linear viscoelastic materials is proportional to the real part of the complex dynamic fluidity of a rheological network combining the material with an inerter, thereby simplifying spectral calculations for diverse systems like Maxwell fluids and subdiffusive media.
This paper presents a Hamiltonian framework for regularizing and linearizing central-force dynamics by introducing a new canonical extension of projective decomposition, which yields closed-form solutions for inverse-square and inverse-cubic forces and is validated numerically for the two-body problem with J2 perturbations.
This paper theoretically investigates the tunable dynamical behaviors of antiferromagnetic domain walls under spin-polarized currents, revealing distinct regimes of precessional, propagating, and oscillatory motion depending on current polarization, characterizing their velocity and asymmetric profiles, and discussing the impact of Dzyaloshinskii-Moriya interaction and large induced magnetization for potential experimental detection.
This paper introduces a robust multiple shooting method for accurately determining Lefschetz thimble intersection numbers in multivariable systems, enabling stable real-time path integral evaluations and offering new insights into oscillatory integrals in physics and mathematics.
This paper investigates the reactive capacitance of flat patches with arbitrary shapes by employing a spectral expansion over a Steklov eigenvalue problem to derive bounds, probabilistic interpretations, and a validated explicit approximation based on surface area and electrostatic capacitance, thereby offering a practical tool for analyzing diffusion-controlled reactions in complex domains.
This paper reports the experimental synthesis of a two-dimensional nitrogen crystalline structure, termed nitrogene, on silver surfaces via ion-beam-assisted epitaxy, revealing a puckered honeycomb lattice with a predicted band gap of up to 7.5 eV suitable for ultraviolet optoelectronic and high-k dielectric applications.
This paper introduces the quantum bootstrap product (QBP) paradigm, which generalizes standard homological product constructions by solving a "bootstrap equation" to generate "fork complexes," thereby unifying diverse codes like hypergraph and fracton codes while enabling the creation of self-correcting quantum memories that surpass existing rate and energy barrier limitations.