3210 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 fundamental limits on the information required to represent local quantum dynamics through low-rank compression, determining that optimal ranks scale as for time-independent evolution and for driven systems, with these bounds being constructively achieved in one dimension via explicit tensor network algorithms.
This paper establishes a correspondence between multiplication by coordinates and differentiation along conformal vector fields on the two-dimensional sphere and specific differential-difference operators acting on the space of spherical harmonics decomposed by rotation-invariant subspaces.
This paper investigates resolution-independent relative logarithmic source complexes for AKSZ-BV-BFV theory on Joyce manifolds with generalized corners, establishing specific transfer criteria and interval contractions for facewise structures while leaving general nonlinear continuum pushforwards and the existence of a full intrinsic multiplicative trace as open problems.
This paper establishes the exact linear upper and logarithmic lower bounds for the modular energy range of an interval in chiral conformal field theory over states of bounded energy, demonstrating that the supremum is given by (with a specific negative correction) and deriving a sharp Bekenstein bound from these results.
This paper establishes a sharp norm inequality for entanglement-breaking channels in generalized Bloch parameterization, proving that by leveraging the POVM completeness relation to refine and extend previous bounds by Ruskai.
This paper investigates the entanglement-breaking index of quantum feedback loops, establishing that strict interaction contraction guarantees finite entanglement lifetimes while demonstrating that thermal baths induce exact quadratic dependencies in channel properties, ultimately revealing a universal architecture floor where nearly half of all circuits break entanglement in a single round regardless of temperature.
This paper establishes that null modes of the bordered Faddeev--Jackiw matrix do not automatically generate gauge symmetries, providing a precise algebraic criterion involving constraint chains and a specific contraction condition to distinguish genuine gauge generators from spurious solutions.
This paper investigates the spectral asymptotics of a singular harmonic oscillator with Aharonov-Bohm flux by combining semiclassical methods with uniform asymptotic theory to derive comprehensive eigenvalue expansions across tunneling, high-energy, and boundary-touching regimes, while also providing explicit asymptotic formulas for the zeros of the Kummer confluent hypergeometric function.
This paper establishes that the Naito--Okuda--Ouyang biconcave red blood cell profile constitutes a finite-energy, nondegenerate weak immersion that solves the Canham--Helfrich shape equation classically on a punctured surface but requires a point-force residue to satisfy stationarity globally due to a logarithmic curvature singularity at the dimple center.
This paper improves the known convergence radius of the Fer expansion for Hermitian generators from 2 to approximately 2.6058, thereby extending the range of validity for this unitary, doubly-exponentially convergent approximation of time-dependent quantum propagators.