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 proves that real-analytic Liouville integrable geodesic flows on closed manifolds have zero topological entropy, thereby confirming a 1992 conjecture by Paternain through the application of analytic normal expansions and an ergodic version of Ziglin's argument.
This paper constructs scaling limits of critical percolation clusters on hierarchical lattices to demonstrate that the Alexander-Orbach conjecture generally fails for these systems, with their associated spectral dimensions forming a dense set within the interval .
This paper derives a Fredholm-Pfaffian formula for the multi-point transition probabilities of half-space polynuclear growth with general initial profiles and boundary rates by proving it satisfies a unique integral Kolmogorov equation, while also discussing its scaling limit's connection to the half-space KPZ fixed point.
This paper establishes sharp arithmetic localization for one-dimensional quasiperiodic potentials with jump discontinuities by introducing a symbolic unique-continuation principle that extends results beyond uniform transversality to include all non-constant monotone sampling functions, even those with large flat regions.
This paper investigates the ultraviolet behavior of Yang-Baxter deformed sigma models on and related maximal rank symmetric spaces, demonstrating that their fixed points are described by a non-compact WZW model coupled with free bosons and identifying the leading corrections as perturbations from screening currents.
This paper proves that the simulated annealing algorithm efficiently samples from the Sherrington-Kirkpatrick model at inverse temperatures below the critical threshold of with arbitrary inverse polynomial accuracy in total variation distance.
This paper establishes quantitative hypocoercivity and exponential convergence rates for singular stochastic damped wave equations in two and three dimensions by deriving a dimension-free criterion based on log-Sobolev inequalities and spectral bounds, thereby demonstrating genuine kinetic acceleration over overdamped dynamics in the model and extending results to regimes beyond current continuum constructions.
This paper provides a rigorous justification for spin wave theory in one-dimensional spin- quantum Heisenberg ferromagnets by proving that the dynamics of two-magnon wave packets are accurately approximated by free magnon evolution up to optimal timescales.
This paper proves that the generalized Markov-Krein transform preserves closure under both classical additive and Mellin convolutions for probability measures with finite logarithmic moments, thereby resolving the positivity conjecture for the additive high-temperature convolution in random matrix theory.
This paper analyzes the spectral properties of a linear operator modeling metamaterials with sign-indefinite transmission conditions, demonstrating that while the continuous spectrum remains , the operator possesses a non-empty point spectrum where zero can act as a threshold eigenvalue that, under small perturbations, splits into distinct branches of resonances or negative eigenvalues depending on the interface's Neumann-Poincaré operator.