2557 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 the global existence and optimal large-time decay rates for weak and strong solutions of a three-dimensional penalized Navier--Stokes system featuring biharmonic damping and a Temam-type correction, while proving that all derived a priori estimates remain uniform with respect to the penalization parameter.
This paper proposes a delay-free, higher-order approximation framework for the time-delayed Kuramoto model that, through analytical reduction and numerical validation, enables more accurate prediction of collective dynamics and the control of complex states like bistability and intermediate synchronization compared to conventional pairwise approaches.
This paper proves that Lee-Yang Hamiltonians under a uniform Z-field possess a spectral gap of at least h/4 independent of system size and coupling strengths, a result derived from partition function zero-freeness that enables a polynomial-time quantum algorithm for computing their ground state energy.
This paper introduces a two-axis interpolation framework that treats spatial dimension and spin-component number as continuous parameters to predict critical exponents and couplings for the O model by anchoring exact limiting solutions, while establishing that such interpolation succeeds only for observables exhibiting monotonic variation between these anchors.
This paper identifies a novel time-reversal-invariant topological metallic phase in a bilayer Lieb lattice characterized by a quantized layer-resolved pseudo-spin Chern number, where specific orbital-angular-momentum-dependent couplings tune the system between semimetallic and metallic regimes while preserving distinct, asymmetric edge states that can be selectively manipulated via interlayer and intralayer interactions.
This paper establishes sharp broken-power Lorentz estimates for fractional powers of radial Schrödinger operators with inverse-square asymptotics by combining clean-kernel analysis, local Lorentz-Hardy-Littlewood-Sobolev estimates, rank-one endpoint arguments, geometric annular sequence spaces, a triangular matrix theorem, and a nine-block decomposition.
This paper establishes that for random bipartite mixed states on , there exists a critical threshold environment dimension for each level of moment-based PPT criteria, above which the states generically satisfy the criterion as the local dimension grows large.
This paper investigates the long-time asymptotics of the type D ASEP, demonstrating that while density fluctuation fields decouple into independent linear stochastic heat equations in the weak-asymmetry regime, the resulting limiting normal random variables exhibit a novel, non-trivial correlation structure.
This paper proves that any minimizers of the Lieb-Oxford bound for a fixed finite number of particles must be compactly supported, thereby extending a previous result established by Lieb and Oxford for the one-particle case.
This paper demonstrates that EDP-convergence of gradient structures for nonlinear diffusion equations with a scaled central region yields a uniquely specified limiting gradient structure that reformulates the transmission condition as an effective kinetic relation, revealing how microscopic properties migrate to the macroscopic scale and surprisingly transforming linear Onsager relations into exponential Marcelin-De Donder kinetics.