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 demonstrates the existence of UV asymptotically free solutions to the renormalization group flow equations for scalar field theory in four-dimensional Euclidean space that satisfy nonpolynomial boundary conditions while maintaining Bose symmetry, Euclidean invariance, analyticity, and the Osterwalder-Schrader growth condition.
This paper calculates the momentum flux of small-amplitude oscillons in -dimensional scalar field theory, demonstrating that the integrated flux over a period is extremely small, scaling as or depending on the parity of the truncation order .
This paper establishes the fifth-order asymptotic behavior of the constrained Parisi measure near zero, thereby rigorously confirming the predicted decay rate for upper deviations of the Sherrington-Kirkpatrick free energy and characterizing the onset of constrained measures across all inverse temperatures .
This paper establishes that for mixed -spin Ising spin glasses, upper large deviations of the free energy are governed by generalized TAP critical points that exist without strict Plefka conditions, are localized near constrained Parisi obstacles, and exhibit marginal stability characterized by specific spectral properties of their Hessians.
This paper presents a bidirectional correspondence between continuous unitary evolutions and products of unitaries at finite precision, enabling the reduction of discrete adiabatic theorems to continuous ones with explicit error bounds and eliminating the need for separate discrete adiabatic analysis in applications like quantum linear systems.
This paper establishes a recursive cohomological characterization of the Clifford hierarchy by identifying quantum derivatives as non-abelian 1-cocycles, a framework that is then applied to decompose the third level and prove that all two- and three-qudit gates within it are semi-Clifford.
This paper establishes the minimal memory cost for compressing multiple copies of a density matrix with a known spectrum but unknown eigenbasis by deriving an additive constant through achievability via generalized Werner cloning maps and a converse based on quantitative Koashi–Imoto incompressibility, while also linking this cost to universal coding overhead and free entropy.
This paper completely determines the possible parities of the Euler characteristic for closed -manifolds in any given dimension and applies this result to partially calculate the previously undetermined controlled cut-and-paste groups .
This paper establishes the first robust self-test of the full continuous family of Majorana operators and the spin representation of the continuous pin group by demonstrating that optimal performance in the Grothendieck game certifies these quantum measurements solely from observed correlations.
This paper establishes exponential relative-entropy decay rates for a broad class of infinite-dimensional quantum Gibbs samplers, including multimode Bose-Hubbard and Coulomb gas systems, by developing a perturbative stability theory for hypercontractive estimates and logarithmic Sobolev inequalities, while also demonstrating that a positive spectral gap does not necessarily imply finite-time -to- hypercontractivity.