1695 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 Lagrangian formulations to construct gauge-invariant descriptions for (ir)reducible integer higher-spin massless and massive fields with mixed-antisymmetric symmetry in -dimensional Minkowski space using BRST methods, while also proposing a deformation procedure for their interacting models.
This paper defines the field strength of abelian potentials on Poisson manifolds using a groupoidal approach, demonstrating its equivalence to covariant tensors of a local symplectic groupoid and proposing a corresponding Poisson Chern-Simons model.
This paper explores the ambiguous origins and multifaceted meanings of the term "Big Bang"—coined by Fred Hoyle to mock a theory he opposed—by analyzing the tension between language and scientific reality, comparing Hoyle's Steady State model with modern inflation cosmology, and examining how the label is currently applied to diverse concepts ranging from the initial singularity to popular culture.
This paper presents a unified framework that extends classical stochastic dynamics to the quantum domain by deriving a generalized Langevin equation with symmetric friction and noise, which upon quantization yields Lindblad-type master equations that ensure complete positivity and thermodynamic consistency for open quantum systems.
This paper establishes a unified geometric and analytic framework using renormalized Sobolev orthogonal polynomials to derive stable dimension-reduction theorems and defect expansions for polynomial PDEs on thin annuli, effectively capturing their convergence to one-dimensional dynamics while accounting for anisotropic dispersive and homogenized effects across both integrable and non-integrable systems.
This paper establishes a comprehensive framework in three spatial dimensions that classifies fermionic quantum anomalies into two distinct classes—those permitting symmetric gapped phases and those enforcing gaplessness—thereby providing concrete predictions for the infrared behavior of (3+1)-dimensional gauge theories and demonstrating that discrete chiral anomalies cannot be trivialized by adding bosonic degrees of freedom.
This paper surveys recent progress in defining open enumerative invariants for Landau-Ginzburg models by constructing them as integrals over real orbifolds with corners, while also exploring their connections to topological recursion, integrable hierarchies, and mirror symmetry, and concluding with a list of open problems.
This paper establishes dynamical localization for random scattering quantum walks on arbitrary infinite graphs in the large-disorder regime by proving a general relation between fractional moment estimates and eigenfunction correlators for random unitary operators.
This paper demonstrates that an interacting Pais-Uhlenbeck oscillator with a Landau-Ginzburg term admits a conformal bi-Hamiltonian structure and is integrable, possessing bounded periodic solutions derived from its explicit correspondence with a generalized Hénon-Heiles system.
This paper presents a computationally efficient deformable Discrete Element Method (DEM) that extends classical rigid-particle dynamics through an energetic variational formulation and level set evolution, enabling physically accurate grain-scale deformation for arbitrary particle geometries at a cost comparable to standard rigid DEM.