2656 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 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.
This paper proposes a general algebraic formula based on ring homomorphisms and the Verlinde formula to classify anyon transformations across domain walls, thereby unifying the description of topological phase transitions, massless renormalization group flows, and symmetry-enriched topological orders within the framework of Symmetry Topological Field Theories (SymTFTs).
This paper introduces a Lindblad-deformed spectral geometric framework where dissipative data modifies the Dirac operator, demonstrating that the first-order correction to the heat trace vanishes and the leading nontrivial dissipative effects emerge at fourth order in the deformation parameter, thereby defining a scale-dependent effective spectral dimension.
This paper resolves the thermodynamic limitations of event horizons by demonstrating that quasi-local horizons allow for a robust formulation of the first and second laws of black hole mechanics applicable to dynamical black holes arbitrarily far from equilibrium, thereby identifying black hole entropy with the area of marginally trapped surfaces rather than the event horizon.
This paper extends the relationship between gradient flows and pregeodesics from dually flat manifolds to general Riemannian manifolds by utilizing non-metricity tensors to compare relaxation rates, thereby providing a geometric explanation for the universal asymmetry where warming up is faster than cooling down in Gaussian chains.