2670 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 strong and norm resolvent convergence for operator families as in the absence of definiteness assumptions by utilizing resolvent identities rather than form methods, revealing that the limit operator depends on both the kernel of and the specific structure of the Riesz projector at zero when is non-self-adjoint.
This paper demonstrates that in the large limit, the two-dimensional Linear Sigma Model on exhibits exponential correlation decay and converges to a massive Gaussian Free Field without restrictions on coupling constants, a result achieved by combining Talagrand's inequality with Euclidean Quantum Field Theory tools.
This paper reformulates the renormalisation framework for Hairer's regularity structures by introducing Bogoliubov-type recursions, analogous to the Connes-Kreimer approach, to clarify the interplay between positive and negative renormalisation and apply it to singular stochastic partial differential equations.
This paper establishes universal formulas for the global asymptotics of Jack-deformed random Young diagrams across high, low, and fixed temperature regimes, proving limit laws for Jack–Thoma measures and demonstrating that these results apply universally to models with approximate factorization while revealing that their limit shapes are one-sided infinite staircases distinct from continuous -ensembles.
This paper presents a coordinate-free introduction to exterior forms for physics students, emphasizing their physical significance by deriving classical equations only after establishing the formalism without relying on specific coordinate frames.
This paper introduces a novel symplectic reduction by stages approach to the existence problem for gravitating vortices on Riemann surfaces, utilizing the reduced -K-energy and finite-energy pluripotential theory to establish polystability conditions for solutions on the sphere, prove uniqueness in the absence of automorphisms, and demonstrate existence for genus under specific parameter constraints.
This paper presents a novel fourth-order entropy-stable extension of the Navier-Stokes-Fourier equations for rarefied gases, derived via a new variational multiscale moment closure of the Boltzmann equation that demonstrates remarkable accuracy in the transition regime and beyond when validated against linearized Boltzmann solutions.
This paper introduces , an automated Python library that implements the Wei-Norman method to efficiently derive time evolution operators for high-order quantum systems governed by Lie algebra Hamiltonians, demonstrated through applications to coupled harmonic oscillators and various groups relevant to quantum computing.
This paper presents a novel Gaussian process-based framework that learns probabilistic Dirichlet-to-Neumann maps on graphs by integrating discrete exterior calculus and nonlinear optimal recovery to enforce conservation laws, thereby enabling accurate, uncertainty-quantified predictions in data-scarce multiphysics applications like subsurface fracture networks and arterial blood flow.
This paper demonstrates that for 1-dimensional reaction-diffusion equations with nonzero random drift and FKPP nonlinearity, a positive average drift can push both wave fronts toward negative infinity, a phenomenon proven via Large Deviations Principles and Feynman-Kac analysis which reveals the drift acts as an external field shifting the free-energy reference level.