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 data article presents comprehensive datasets, symbolic derivations, and computational scripts to reproduce key analytical and numerical results for strongly chirped dissipative solitons of the cubic-quintic complex Ginzburg-Landau equation across normal and anomalous dispersion regimes, with all materials openly available in a Zenodo repository.
This paper investigates the large-overtone quasi-normal modes of a massive scalar field in a four-dimensional Schwarzschild de-Sitter black hole with a Dirichlet wall at the static sphere, deriving an asymptotic expansion that shows the modes scale linearly with the overtone number at leading order and providing correction terms up to order .
This paper introduces the concept of quantum-to-classical sufficiency to establish factorization criteria that identify canonical measurements (such as weak Schur sampling and total residual photon number counting) which reduce complex quantum statistical inference problems over invariant measurement classes to equivalent, solvable classical decision problems.
This paper demonstrates that graded arrays of highly dispersive subwavelength resonators can function as analytically controllable frequency sorters by utilizing volume-interaction matrices to establish a monotone mapping between resonator positions and localized resonance frequencies, while also proving the feasibility of inverse design and robustness against disorder.
This paper constructs an explicit, optimal summation rule based on a cut Borel–Laplace transform that assigns a well-defined, real-analytic value to the divergent four-coupling beta function of four-dimensional nonplanar Euclidean scalar theory across the entire coupling space, achieving exponential accuracy and overcoming the limitations of classical Borel summation for series with factorial growth and natural boundaries.
This paper establishes the continuity, strict monotonicity, and local bi-Lipschitz regularity of the critical-density and critical-lifespan curves for finite-lifespan frog models on infinite transitive graphs of superlinear growth by introducing a novel local-to-global comparison principle for activation processes.
This paper establishes that for sufficiently high dimensions ( for percolation and for the Ising model), the complement of the infinite open cluster and the spins in the minus phase, respectively, stochastically dominate a supercritical site percolation, thereby proving the coexistence of infinite clusters and improving upon previous dimensional bounds.
This paper establishes the existence, mass conservation, and partial uniqueness of solutions for the two-component Becker-Döring model, while further analyzing its entropy properties, equilibrium states, and the minimization of relative entropies under fixed mass constraints.
This paper rigorously proves that the long-time behavior of the two-component Becker-Döring system under detailed balance is uniquely determined by initial masses and a binding-energy-maximizing mixing ratio, establishing entropy minimization via a novel discrete two-dimensional logarithmic Sobolev inequality that overcomes the lack of weak* continuity in relative entropy.
This paper demonstrates that introducing a small magnetic field to a three-dimensional Schrödinger operator with a simple threshold eigenvalue transforms it into a time-dependent resonance, deriving the leading asymptotic term for its imaginary part and highlighting key differences from resonances induced by weak electric fields.