2563 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 establishes a unified geometric framework linking split attractor flows, Hessian flows, and spectral networks to rigorously prove their orthogonality and duality, thereby enabling the systematic reconstruction of BPS spectra across diverse theories and yielding new closed-form results for Argyres-Douglas models and tropical disk counts.
This paper derives exact analytical solutions for a heterogeneous Cattaneo-Vernotte diffusion equation with an exponential diffusion coefficient in terms of modified Bessel functions and proves that these solutions constitute valid probability density functions.
This paper presents a GPU-accelerated PDE-constrained optimization framework that jointly recovers full-field displacement and force distributions from sparse sensor measurements with significantly higher accuracy than modal expansion methods, as demonstrated on increasingly complex structural examples ranging from a cantilever plate to a nuclear reactor pressure vessel.
This paper establishes a sufficient condition for the absolute convergence of Mayer cluster expansions in lattice gases with complex-valued multi-body interactions, utilizing a novel partition scheme for spanning hypergraphs to extend convergence results for both hard-core repulsions and polymer expansions.
This paper derives a novel beta-type basic hypergeometric integral identity from the equality of supersymmetric partition functions on , which is distinct from known lens-space degenerations and offers new applications in gauge theory, integrable models, and special functions.
This paper presents theorems establishing the uniqueness and continuous dependence on initial conditions for solutions to stochastic Navier-Stokes equations driven by both Wiener processes and Poisson martingale measures, thereby generalizing previous results.
This paper establishes the propagation of chaos for finite-dimensional systems of interacting density matrix-valued diffusions driven by independent Brownian noises and mean-field Hamiltonians, proving convergence to a nonlinear McKean-Vlasov limit for both arbitrary mixed initial states with explicit error bounds and skew-adjoint measurement operators via stochastic BBGKY hierarchies.
This paper develops a formalism for Lagrangian gauge theories with asymptotic boundaries by demonstrating how divergent bulk presymplectic structures yield a pair of compatible boundary -cocycles—a renormalized structure and an anomaly cocycle—thereby recovering known holographic Weyl anomalies in AdS and extending them to null infinity in flat space.
This paper proposes a simple initial-value coherent state propagator that sums over mean-field trajectories with their corresponding actions to accurately reproduce complex many-particle dynamics, including breakdown, revival, and tunneling effects, in the Bose-Hubbard dimer and potentially more general SU(N) systems.
This paper establishes the global existence of solutions for the spatially homogeneous massless Boltzmann equation with hard interactions and proves local existence for soft interactions in Minkowski spacetime, utilizing a new Povzner-type inequality and singular weights to address the challenges posed by masslessness.