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 constructs stationary coherent states concentrated on Lissajous figures for isotropic and anisotropic harmonic oscillators by projecting products of ordinary coherent states onto degenerate subspaces, thereby clarifying phase singularities, linking probability current laminar flow to quantum interference, and providing a rigorous definition of vortex states that resolves to known SU(2) coherent states in the isotropic limit.
This paper extends previous findings on qutrit quantum channels by demonstrating the existence of channels with arbitrarily long minimal synchronizing words, thereby contrasting with the bounds suggested by Černý's conjecture for finite automata.
This paper demonstrates that integrable autonomous partial difference equations admit special solutions governed by non-autonomous ordinary difference equations derived from the Bäcklund transformations of the third and sixth Painlevé equations and the Garnier system in two variables.
This paper establishes that the expectation of multipartite observables formed from sums of local self-adjoint contractions exceeds the product state threshold only when accompanied by a quantifiable amount of total correlation, a relationship derived from the parity structure of the observable's square and bounded by pairwise defect weights.
This paper demonstrates that color symmetry is preserved at high temperatures in the Potts spin glass model with three or more colors using the second moment method, while also proving that unbalanced configurations are exponentially rare for the two-color case at all temperatures due to gauge symmetry.
This paper reformulates and generalizes the equilibrium hyperforce sum rule and the BBGKY hierarchy for both Euclidean and periodic systems by demonstrating that they can be derived from the Leibniz rule applied to the pairing of tempered distributions and Schwartz functions.
This paper establishes finite-depth and finite-shot, dimension-free lower bounds on the success probability of sampling optimal solutions for the Constraint-Enhanced Quantum Approximate Optimization Algorithm (CE-QAOA) by demonstrating that restricting cost angles to a harmonic lattice induces a positive Fejér filter effect.
This paper investigates the quasi-classical expansion of a multicomponent spin solution to the star-star relation with hyperbolic Boltzmann weights, deriving -component extensions of scalar 5-point difference equations that generalize previously studied integrable systems on face-centered cubic lattices.
This paper demonstrates that the trace-free Einstein tensor cannot be derived from any local action functional via variation with respect to the metric, even when the requirement of diffeomorphism invariance is removed.
This paper establishes a precise correspondence between 4-tensors satisfying a generalized "zipper condition" in two-dimensional topological order and flat fields in subfactor theory, demonstrating that such tensors correspond to elements in the higher relative commutants of a subfactor arising from a bi-unitary connection without requiring the flatness or finite depth conditions.