1677 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 provides a rigorous construction of the functional integral for Abelian Chern-Simons theory with a toral gauge group on both closed and boundary-equipped 3-manifolds using exact zeta-regularized Gaussian evaluation, thereby establishing it as a valid -dimensional Topological Quantum Field Theory.
This paper demonstrates that ultrathin antisymmetric ferromagnetic bilayers can synergistically combine Dzyaloshinskii-Moriya and dipolar interactions to achieve optimal stability for zero-field skyrmions with 10 nm radii, offering a viable pathway for information technology applications.
This paper investigates the semiclassical regularity of low-temperature Fermi gas thermal equilibria in harmonic and magnetic fields by deriving asymptotic estimates for the Schatten norms of commutators between one-body operators and position/momentum operators, thereby revealing distinct regimes governed by the interplay of the Planck constant, temperature, and magnetic field strength.
This paper investigates the intermittency of the Critical 2d Stochastic Heat Flow by determining that the ratio of the -th moment of the mass assigned to shrinking balls of radius to their Lebesgue volume scales asymptotically as .
This paper defines Gaussian orthogonal, unitary, and symplectic tensor ensembles that generalize classical vector and matrix distributions, and establishes a complete set of invariant polynomials along with a unifying Maxwell-type theorem characterizing their distributions.
This paper generalizes Håstad's long-code test to entangled provers and, by combining it with recent results establishing , proves that approximating the quantum value of a specific linear constraint satisfaction (LCS) game is RE-hard.
This paper investigates the symmetric Dyson exclusion process, a lattice gas with long-range Coulomb-type interactions, by mapping its stochastic generator to a free-fermion quantum chain to derive and validate a conjectured non-local hydrodynamic equation that accurately describes the system's ballistic scaling and limit shapes.
This paper develops a unified kinetic theory for ordered fluids by extending phase space with generalized angular momenta to derive a unique mesoscopic model for various microstructured continua, while analyzing their symmetries, conservation laws, and conditions for collective behavior and H-theorem validity.
This paper conjectures an exact formula for three-point functions of -leg and diagonal fields in two-dimensional critical non-intersecting loop models, which is supported by agreement with Conformal Loop Ensemble results and numerical transfer matrix computations on cylindrical lattices, with minor discrepancies attributed to degenerate ground states in the Jones-Temperley-Lieb algebra.
This paper establishes a large-scale analogue of Zelditch's quantum mixing theorem for compact hyperbolic surfaces of large genus, including both arithmetic and Weil-Petersson random surfaces, by introducing a novel method based on the hyperbolic wave equation and quantitative exponential mixing of the geodesic flow that avoids reliance on ball averaging operators.