2619 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 extends an explicit, energy-conserving particle-in-cell scheme to relativistic plasmas by solving a local optimization problem that enforces exact energy conservation, demonstrating its compatibility with standard field solvers and superior performance on relativistic test problems despite rare instances of non-real solutions.
This paper critically examines the necessity of complete positivity in open quantum dynamics, demonstrating through the analysis of isotropic states that restricting non-completely positive maps to compatible initial states becomes increasingly impractical as system dimension grows, thereby exposing a fundamental weakness in this approach.
This paper introduces a symmetry-based approach to encode hard constraints in open-shop scheduling problems for quantum computing, proposing a novel variational algorithm that leverages feasibility-preserving permutation groups to guarantee reaching optimal solutions with certainty by optimizing only a quadratic number of parameters.
This paper establishes a combinatorial framework linking integer vectors and partitions viewed as bi-infinite words to derive enumerations of hook length products, thereby providing Schur-function-based interpretations of Macdonald identities for all affine root systems and yielding corresponding -Nekrasov–Okounkov formulas.
This paper constructs an almost sure bijection between independent Brownian motions and the directed landscape on the half-plane as the scaling limit of the RSK correspondence, enabling the explicit coupling of Brownian last-passage percolation to the directed landscape and resolving a conjecture regarding the reconstruction of the landscape from the parabolic Airy line ensemble.
This paper introduces two families of random block tridiagonal matrices with explicitly computable joint eigenvalue distributions that exhibit novel non-mean-field interactions, enabling the characterization of spectral edge limits via random differential operators and coupled diffusion systems.
This paper investigates the energy conditions and stability of charged traversable wormholes within modified gravity, demonstrating that while radial null energy conditions are broadly satisfied, tangential violations occur at higher charge values to support throat formation, with distinct matter distribution profiles differentiating these structures from compact objects like neutron stars.
This study presents a methodology to solve the Riemann problem for three-phase foam flow in porous media under local equilibrium conditions, overcoming the challenges of an umbilic point to classify wave structures and analyze oil bank formation for applications in enhanced oil recovery and carbon storage.
This paper concludes a series on asymptotic expansions at the soft edge for Gaussian and Laguerre ensembles by deriving gap-probability generating functions, demonstrating that correction terms follow a universal multilinear structure with rational coefficients independent of the generating variable, and validating these results for orthogonal ensembles through extensive numerical simulations.
This paper investigates how supersymmetric partner Hamiltonians of the Jaynes-Cummings model, which differ by a finite number of energy levels, influence the time evolution of key quantum observables such as field operators, quadratures, and atomic inversion, as well as their associated classical and revival times.