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 presents a unified replica-based framework to analytically characterize the largest eigenvalue and the geometric structure of the top eigenvector for large Euclidean random matrices with quadratic kernels, deriving explicit expressions confirmed by numerical simulations.
This article employs Sbierski's more recent -inextendibility techniques to prove that a certain class of spatially flat FLRW spacetimes without particle horizons cannot be extended as manifolds.
This article generalizes previous findings on resonating valence bond ground states by analytically solving the simplest hole-doped Hubbard model on a quasi-one-dimensional tetrahedral chain and demonstrating the existence of exponentially degenerate partial RVB or dimer-monomer ground states in which each tetrahedron hosts a spin-1/2 monomer and a spin-0 dimer.
This paper introduces a theoretically grounded, Python-implemented framework that translates Dirac notation into weighted model counting (WMC) instances, enabling the systematic application of automated reasoning heuristics to calculate partition functions for diverse quantum and classical physical models.
This paper extends the slice decomposition method to planar hypermaps by introducing directed geodesics and adapted recursive slices, thereby providing bijective proofs for enumerative formulas and explaining the algebraic nature of their generating functions.
This article establishes a unified, non-perturbative framework demonstrating that spatially modulated symmetries and their associated dipole algebras naturally emerge from the gauging of ordinary symmetries in the presence of generalized Lieb-Schultz-Mattis anomalies, and provides explicit lattice models as well as field-theoretic descriptions across arbitrary spatial dimensions.
This paper derives a general formula for tree-level three-gluon scattering amplitudes in global de Sitter spacetime using the SO(1,4) angular momentum basis, expressing the results in terms of Wigner 3j symbols and intertwiner integrals of harmonic one-forms on the three-sphere.
This paper establishes the equivalence between Ruhl's analytic definition of Toller matrices and the Feynman prescription in causal spinfoams, demonstrating that these objects can be represented as integrals over boost eigenvalues that reproduce the Wick rotation between Euclidean and Lorentzian spinfoam models.
This paper analytically characterizes 1D Cartesian ambipolar diffusion near null points by deriving stagnation-point flow solutions and nonlinear eigenmodes with sharp current sheets, and validates these findings by demonstrating that the Bifrost MHD code accurately reproduces the predicted self-similar evolution of magnetic flux.
This paper constructs a time-invariant measure on Hamiltonian energy level sets to establish a probabilistic foundation for statistical physics, demonstrating how this measure generates the microcanonical partition function and asymptotically recovers the canonical ensemble, thereby offering an alternative solution to Simon's second problem.