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 that Dirac models of topological insulators with bent domain walls support reflectionless edge states that transmit energy perfectly through the bend without loss to the bulk or reflection, thereby explaining key experimental observations and numerical simulations.
This paper announces the derivation of the limiting shape for the height function of a uniformly distributed alternating sign matrix, which is equivalent to the six-vertex model with equal weights and domain-wall boundary conditions.
The paper introduces MEOWN, a physics-informed machine learning framework that rapidly and accurately predicts muon stopping sites in crystalline materials by combining electrostatic modeling with symmetry-driven optimization, offering a computationally efficient alternative to traditional density functional theory methods for studying quantum magnetism.
This paper establishes the existence of the Integrated Density of States for fractional random Schrödinger operators with Gaussian potentials using isotropic -stable Lévy processes, while also demonstrating Lifshitz tails and determining the asymptotic behavior at the right end of the spectrum.
This paper establishes two complementary lower-bound mechanisms for individual Dirichlet Laplacian eigenvalues on open sets in () by utilizing energy orthogonality and spectral deficit retention to strictly improve upon the individual consequences of the Li-Yau sum inequality while preserving Weyl scaling.
This paper establishes that the optimal linear-rate conversion of unknown mixed qubit states (both concentration and dilution) is determined by the eigenvalues of the complex right-logarithmic-derivative Fisher information matrix and can be achieved using only SWAP tests and ancillary maximally mixed qubits, thereby revealing that the matrix's antisymmetric imaginary part encodes essential geometric information beyond statistical distance.
This paper introduces a model of randomly sprinkled graphs that bridges the Anderson model and site percolation, providing an Anderson-percolation representation of the spectrum, characterizing its support, deriving quantitative bounds on the integrated density of states, and analyzing the density of states in the sparse sprinkling regime.
This paper proves the Sarnak–Strömbergsson conjecture by demonstrating that, among all three-dimensional lattices of unit covolume, the face-centered cubic (FCC) lattice minimizes the theta function for while the body-centered cubic (BCC) lattice minimizes the Epstein zeta function for .
This paper presents a purely quasi-local proof of the positivity of the Wang–Yau mass for a specific class of initial data by reducing the problem to the Brown–York mass of a scalar-flat compact metric and demonstrating strict positivity through second variation analysis, thereby avoiding reliance on asymptotically flat extensions or the global positive mass theorem.
This paper introduces diassociative conformal algebras as a unification of associative conformal and diassociative algebras, establishes their equivalence to formal distribution diassociative algebras, develops their deformation cohomology with a Gerstenhaber algebra structure, and explores their connection to averaging operators on associative conformal algebras.