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 review paper demonstrates that spatial torsion in Metric-Affine Gravity induces non-linear quantum fluctuations affecting spinless degrees of freedom through the Stochastic Variational Method, revealing a competitive interplay with Levi-Civita curvature and a structural parallelism with information geometry.
This paper establishes global well-posedness in the critical energy space and proves almost periodicity in time for the half-wave maps equation on the one-dimensional torus by leveraging its integrable Lax pair structure to derive explicit solution formulae and a general stability principle that extends to matrix-valued cases and companion results on the real line.
This paper constructs fractional Sobolev spaces with variable orders on arbitrary time scales and their product domains, establishing their functional-analytic properties and trace frameworks to derive Euler-Lagrange equations for variational problems involving variable-order Riemann-Liouville and Caputo fractional operators.
This paper validates a modified Teukolsky framework for predicting gravitational-wave ringdown spectra in effective field theories by successfully passing two rigorous null tests and confirming consistency between two independent numerical methods, thereby establishing its reliability for future strong-field tests of General Relativity.
This paper establishes a framework for defining self-adjoint realizations of 2d-dimensional canonical systems through symplectic geometry and Lagrangian boundary conditions, demonstrating their critical application in analyzing the spectral stability of traveling waves and solitons in nonlinear partial differential equations.
This paper demonstrates that pure SU(3) Yang--Mills theory on a punctured three-ball generates a finite, hadronic-scale spectral gap through a gauge-invariant quantum rotor mechanism driven by a Berry-shifted holonomy angle, thereby realizing "mass without mass" without introducing explicit mass terms or Higgs fields.
This paper generalizes the Peter-Weyl Theorem by demonstrating that functions on locally compact groups with large nontrivial compact open subgroups can be approximated by locally representative functions.
This paper presents a simple construction of algebro-geometric solutions to the Gelfand–Dickey hierarchy using an -type infinite ODE system and Dubrovin's method, while also deriving a formula for the -point function of the associated Riemann -function.
This paper establishes a hydrodynamic framework for force dipoles in compressible membranes with odd viscosity by deriving an exact Green tensor that reveals distinct dynamical regimes and chiral observables, such as transverse drift and relative motion, arising from the interplay of shear, compressional, and odd-viscous modes.
This paper investigates the irreducible components of fixed point sets within the -character variety of a genus two surface under finite group actions, utilizing the genus two DAHA to identify geometric transitions that yield novel candidates for symmetry-reduced moduli spaces in 4d SCFTs.