1605 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 introduces a censored stochastic six-vertex model, demonstrating that its blocking measure stochastically dominates the system at all times to control second-class particles, a result established through connections to Iwahori--Hecke algebras and the use of parabolic Kazhdan--Lusztig -polynomials as both explanatory tools and intertwining kernels.
This paper rigorously proves the existence of long-range order in the chirally charged fermion-mass bilinear for a class of two-dimensional Euclidean lattice Gross-Neveu models with even flavor numbers by utilizing reflection positivity, chessboard estimates, and Peierls-type arguments to establish a non-perturbative connection between the lattice theory and large- mean-field predictions across various discretizations.
This paper establishes that for diagonalizable non-Hermitian Hamiltonians with real spectra, the biorthogonal Gibbs functional satisfies the Kubo-Martin-Schwinger (KMS) condition if and only if the system is quasi-Hermitian, thereby providing a metric-free characterization of quasi-Hermiticity and proving that the resulting KMS states cannot be simply deduced from their Hermitian counterparts via similarity transformations.
This paper demonstrates that Yang-Mills theory coupled to a particle on a cylinder reduces to a finite-dimensional quantum system, yielding a Landau problem on a torus for the Abelian case and a one-dimensional Calogero-Sutherland-type many-body system for the non-Abelian SU(N) case.
This paper establishes conditions involving manifold curvature, inverse temperature, and escaping directions from saddle points that guarantee polynomial mixing times for Langevin dynamics to Gibbs measures on Riemannian manifolds, thereby avoiding barren plateaus and spurious local minima through a novel relation between processes in the domain and their Riemannian submersion images.
This paper investigates the stochastic population dynamics of surface-mediated autocatalytic processes where particles diffuse and undergo competing replication or death events, providing a systematic theoretical analysis of the population's statistical properties across vanishing, steady-state, and exponential growth regimes supported by numerical solutions and Monte Carlo simulations.
This paper introduces "Quantum Logic Codes," a family of high-rate stabilizer quantum error-correcting codes constructed from small base codes via tiling and concatenation that provably support a constant-depth, complete transversal logical Clifford instruction set architecture, including novel depth-one implementations of and gates.
This paper generalizes the ZX calculus to two-dimensional Yang-Mills theory with a compact gauge group by leveraging a shared Hopf Frobenius algebraic structure, thereby establishing a foundation for applying this graphical formalism to low-dimensional gravity.
This paper introduces a graphical coaction framework for Friedmann-Robertson-Walker (FRW) integrals at all loop orders using intersection theory in twisted (co)homology to decompose cosmological observables into graph-based building blocks, thereby revealing the combinatorial structure of their governing differential equations and providing open-source tools for their computation.
This paper advances the open topological string/spectral theory correspondence by constructing entire, off-shell eigenfunctions for quantized mirror curves from open topological string partition functions, specifically applying this framework to local to derive eigenfunctions for the modified Mathieu and McCoy-Tracy-Wu operators and uncovering a functional relation between them.