1694 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 proves that the grand canonical Gibbs state of an inhomogeneous two-dimensional interacting Bose gas converges to the renormalized Euclidean field theory in the high-density, short-range interaction limit, overcoming significant mathematical challenges posed by the need for divergent counterterm functions rather than simple scalars due to the presence of a trapping potential.
This paper provides a rigorous probabilistic construction of the massless Sinh-Gordon model on an infinite cylinder using Gaussian multiplicative chaos and spectral analysis, establishing the existence of discrete spectrum and a strictly positive ground state for the associated quantum operator while deriving scaling relations for its correlation functions.
This paper proves that -dimensional solutions to the Einstein scalar-field Vlasov system, initially close to FLRW spacetimes on closed surfaces of arbitrary genus, exhibit stable Big Bang singularities with quiescent, velocity-term-dominated asymptotics and -inextendibility, thereby establishing the Strong Cosmic Censorship conjecture for a corresponding class of polarized -symmetric vacuum solutions.
This paper explicitly computes the spectral metric, torsion, and Einstein tensors for a specific nontrivial spectral triple on a noncommutative torus, demonstrating that both the torsion and the Einstein tensor identically vanish.
This paper analyzes the consistency of deforming the Heisenberg algebra within constrained Hamiltonian systems to induce Generalized Uncertainty Principle theories on the reduced Poisson algebra, specifically examining scenarios involving rotational invariance and single Hamiltonian constraints relevant to General Relativity and cosmology.
This paper provides a complete classification of finite-rank conformal Hamiltonians in one-dimensional quantum mechanics by establishing their conformal symmetry conditions, demonstrating that their correlation functions are homogeneous polynomials determined by the one-dimensional conformal Ward identities.
This paper introduces and analyzes a new class of special functions derived from Bessel, Anger, and Weber functions to solve inhomogeneous Bessel differential equations, demonstrating how their recurrence relations enable a more efficient derivation of the linear susceptibility tensor in hot, magnetized plasmas by avoiding the slow convergence of traditional infinite Bessel series.
This paper develops and applies the Batalin-Fradkin-Vilkovisky (BFV) formalism to quantize off-diagonal solutions of Einstein's equations on Lorentz manifolds with nonholonomic fibrations, demonstrating that these solutions encode Hořava-Lifshitz configurations with anisotropic scaling and effective cosmological constants in the quasi-classical limit.
This paper establishes that for the three-dimensional degenerate compressible Navier-Stokes equations with nonlinear viscosity coefficients depending on density, smooth solutions can develop finite-time implosions at the origin provided the viscosity power-law exponent falls below a specific threshold determined by the adiabatic exponent, a result proven through novel pointwise density estimates and weighted high-order energy methods that demonstrate the viscous terms are insufficient to suppress the convective implosion mechanism.
This paper demonstrates that quantum cellular automata constitute the degree-zero component of a coarse homology theory, thereby providing a formal framework that explains why the space of such automata forms an Omega-spectrum.