1677 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 constructs and rigorously proves the properties of a hierarchy of rational solutions to the massive Thirring model, representing nonlinear superpositions of algebraic solitons via double-Wronskian determinants and characterizing their pole structures and slow scattering dynamics on the time scale.
This paper extends the enumeration of planar hypermaps with an alternating boundary to the general case, including Ising-decorated maps, by developing a new strategy involving the simultaneous elimination of two catalytic variables to derive algebraic equations and explicit rational parametrizations, thereby demonstrating that certain properties specific to the previously studied m-constellation case do not hold generally.
This paper extends the classification of gapped phases with categorical symmetries to include anti-unitary time-reversal symmetries by introducing Galois-real fusion categories over as the appropriate mathematical framework, enabling the classification of such phases via module categories and their realization as boundary conditions in a -enriched Symmetry Topological Field Theory.
This paper establishes a complete classification of Clifford quantum cellular automata on arbitrary metric spaces and qudits by identifying their stabilized group with the Witt group of a Pedersen–Weibel category derived from algebraic L-theory, thereby demonstrating that their classification depends solely on the large-scale coarse geometry of the underlying space.
This paper proposes using the Hausdorff dimension of the spectral form factor's associated random walk as a fractal diagnostic to distinguish chaotic Hamiltonians (dimension ) from integrable ones (dimension $1$), while providing exact moment calculations and proving Gaussian or log-Normal distributions under specific degeneracy conditions.
This paper improves a singularity theorem by Galloway and Ling for globally hyperbolic spacetimes satisfying the null energy condition with 2-convex Cauchy surfaces, establishing that such spacetimes are either past null geodesically incomplete or possess specific topological structures (spherical spaces or surface bundles), while also relaxing convexity requirements under isometry and strengthening conclusions for non-orientable, non-prime, or specific Haken manifolds without needing finite covers.
This paper resolves an open problem by establishing necessary and sufficient conditions for the Law of Large Numbers of -particle ensembles at fixed temperature through Bessel generating function asymptotics, thereby proving that the limiting behaviors of -sums, -corners, and time-slices of -Dyson Brownian motion correspond to free convolution and free projection regardless of the inverse temperature parameter .
This paper reviews recent progress on state-dependent Lieb-Robinson bounds for Bose-Hubbard Hamiltonians and provides a simplified proof establishing a polynomial velocity bound of for general bounded-density initial states.
This paper demonstrates that the integral means spectrum of the primitive of the randomized Riemann zeta-function and holomorphic Gaussian multiplicative chaos almost surely follows the Kraetzer conjecture, despite neither function being injective.
This paper establishes the local well-posedness of a Camassa-Holm type equation with time-dependent weak dissipation using Kato's theory and derives two blowup criteria along with a universal $-2$ blowup rate through energy estimates and characteristic methods, thereby extending wave breaking analysis to variable dissipation regimes.