3340 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 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.
This paper introduces McMg, a learned phase-space multigrid preconditioner that encodes local wave information (amplitude, phase, direction, and scattering) into coarse-grid channels to efficiently solve high-frequency, heterogeneous Helmholtz equations with superior convergence and generalization compared to classical and existing neural baselines.
This paper proves that a system of particles interacting with two finite heat reservoirs via Kac-type collisions is well-approximated by dynamic Maxwellian thermostats for times shorter than , even when the reservoirs possess distinct temperatures and average velocities.
This paper establishes a connection between the Poisson bracket of Lagrangian field theory and algebras by demonstrating that a proposed symplectic structure yields the Peierls formula, interpreting the inverse relation between these structures via homological algebra, and applying these concepts to the complexities of -adic string theory.