2548 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 that the global topology of spectral measures, rather than just their asymptotic tails, encodes a finer hierarchy of universal Krylov dynamics invariants, revealing how spectral gaps, band structures, and gap-closing transitions govern the sub-leading corrections and oscillatory behavior of Lanczos coefficients through connections to orthogonal polynomials and Painlevé transcendents.
This paper disproves the conjectural converse to Kato's positivity criterion for commutators by demonstrating that the operator is both nonnegative and nonzero.
This paper constructs a non-semisimple open-closed three-dimensional topological field theory valued in vector spaces by utilizing a spherical finite tensor category and a two-sided modified trace to define a new three-manifold invariant, which is then extended to a full bordism category via the universal construction.
This paper demonstrates that unbroken fusion ring symmetry in massless renormalization group flows between unitary minimal models eliminates relevant perturbations to stabilize the infrared theory as a symmetry-enforced gapless phase, while also revealing how nonsimple currents can induce resonance effects that trigger cascades of phase transitions.
This paper establishes that annealed current fluctuations in the two-dimensional symmetric simple exclusion process with a circular boundary can be reduced to a radially symmetric nonisospectral problem, enabling the derivation of a closed-form expression for the scaled cumulant generating function via scattering construction and scalar factorization.
This paper establishes the uniqueness of the supercritical wired Gibbs measure and proves negative dependence among branch-connectivity indicators for the random-cluster model with cluster weight on wired trees across all parameters .
This paper establishes that for a generic two-degree-of-freedom linear system, the critical damping condition yielding the fastest asymptotic decay corresponds to a unique, generally non-diagonal damping matrix that may lack positive definiteness, thereby necessitating active elements for physical realization when eigenfrequencies differ significantly.
This paper derives explicit Lorentz invariant QED pair production rates for scalars, spinors, and vectors in diverse dimensions by taking the field theory limit of open string pair production between two parallel Dp-branes in Type II superstrings.
This paper systematically investigates finite non-split 2-group symmetries with a non-trivial Postnikov class by classifying their anomalies via bordism groups and characterizing their (3+1)D Symmetry TFTs, boundary conditions, and categorical structures in up to five spacetime dimensions.
This paper demonstrates that for a perfect monitoring instrument measuring chemical concentrations and gradients within a finite region, the optimal unbiased estimator minimizes variance by assigning all weight to the boundary rather than the interior, effectively reducing the problem to an electrostatic one.