🔢 Category

math-ph

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.

🔢 mathematics

The Minimal Attached Eddy in Wall Turbulence: Statistical Foundations, Inverse Identification and Influence Kernels

This paper advances Townsend's attached eddy hypothesis by formulating an inverse problem to derive influence kernels from DNS data, which are then used to construct and validate a minimal, Biot-Savart-consistent hairpin eddy model that successfully reproduces mean velocity and Reynolds stress statistics across high Reynolds numbers through a novel scale-by-scale decomposition.

Karthik Duraisamy2026-04-21
🔢 mathematics

The difference variational bicomplex and multisymplectic systems

This paper constructs the difference variational bicomplex to provide a coordinate-free framework for analyzing finite difference variational problems, establishes the link between Hamiltonian existence and multisymplecticity in partial difference equations, defines difference multimomentum maps for conservation laws, and extends these results to multisymplectic integrators on non-uniform meshes through local scaling.

Linyu Peng, Peter E. Hydon2026-04-21
🔢 mathematics

From gauging to duality in one-dimensional quantum lattice models

This paper demonstrates that gauging and duality transformations in one-dimensional quantum lattice models are equivalent up to constant depth quantum circuits by utilizing matrix product operators to represent global symmetries and classify duality transformations, thereby clarifying the handling of static background fields in generalized symmetry gauging.

Bram Vancraeynest-De Cuiper, José Garre-Rubio, Frank Verstraete, Kevin Vervoort, Dominic J. Williamson, Laurens Lootens2026-04-21
🔢 mathematics

Approach to equilibrium for a particle interacting with a harmonic thermal bath

This paper investigates the long-time approach to equilibrium for a harmonic oscillator coupled to a large chain of oscillators, demonstrating that while the system exhibits thermalization-like behavior at leading order in the coupling strength, higher-order corrections reveal persistent oscillations and power-law decays that prevent the bath from being accurately modeled as a simple stochastic thermostat.

Federico Bonetto, Alberto Mario Maiocchi2026-04-21
⚛️ general relativity

Entanglement Entropy of a Non-Minimally Coupled Self-Interacting Scalar across a Schwarzschild Horizon at O(α)\mathcal{O}(\alpha)

This paper computes the first-order correction in quartic coupling to the entanglement entropy of a non-minimally coupled massive scalar across a Schwarzschild horizon, demonstrating that the resulting divergences are renormalized by bulk mass and Newton's constant counterterms while the finite correction vanishes for conformal coupling.

Florin Manea2026-04-21