1695 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 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.
This paper demonstrates that spontaneous symmetry breaking occurs in NLP models like BERT-6 during pre-training and fine-tuning, where individual attention nodes acquire specialized capabilities that, through cooperative scaling, enhance global task performance beyond the sum of their individual parts.
This paper presents a topology optimization framework based on time-dependent Ginzburg-Landau theory under the Weyl gauge to inversely design the structural geometries of type-II superconductors with superconductor-dielectric/vacuum interfaces, aiming to enhance flux pinning and current density through optimal defect placement.
This paper introduces and analyzes a new class of coherent states based on Fox-Wright functions, extending their properties from the discrete to the continuous spectrum and further generalizing the framework to the bicomplex domain.
This paper establishes necessary and sufficient conditions for the simultaneous symplectic spectral decomposition of a family of real positive semidefinite matrices with symplectic kernels and provides a precise algebraic condition for the orthosymplectic spectral diagonalization of a single such matrix, thereby generalizing existing results for positive definite matrices.
This paper establishes a general framework demonstrating that self-similar solutions to two-dimensional Riemann problems for the isentropic Euler system with shocks generally exhibit low regularity, specifically that the velocity field fails to belong to and may be discontinuous in the subsonic domain, thereby revealing a significantly more complex structure than solutions for potential flow.
This paper presents a unified Kähler manifold framework that systematically derives linear response equations for computing electronic excitation energies across various variational models, offering a streamlined alternative to traditional methods like Casida's derivation for Hartree-Fock and DFT.