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 paper demonstrates that critical behavior in an Ising spin system can emerge without temperature or Hamiltonian-driven dynamics, arising instead from an adaptive, memory-dependent connectivity mechanism controlled by local quiet times.
This paper proves the Landau-Ginzburg mirror symmetry conjecture for ADE singularities with nontrivial diagonal symmetry groups by establishing an isomorphism between the orbifold Saito theory of a singularity and the Fan-Jarvis-Ruan-Witten theory of its Berglund-Hübsch-Henningson dual pair .
This paper reveals that the one-dimensional swarmalator model, traditionally characterized by three macroscopic states, actually harbors a vast set of locally robust but rarely accessible hidden stable equilibria known as q-twisted and m-clustered states, which persist under perturbations despite having vanishing global basins of attraction.
This paper establishes an exact correspondence between renormalization-group limit cycles in the anisotropic current-current perturbed WZW model and periodic real-time dynamics of its interaction strengths, demonstrating that the Berezinskii-Kosterlitz-Thouless RG flow equations emerge from the consistency conditions of quantum Knizhnik-Zamolodchikov equations derived via the generalized Bethe ansatz.
This paper demonstrates that the Heisenberg dynamics of continuum fermions in interacting via nonconstant pair potentials is not pointwise-norm continuous, thereby proving that neither the CAR algebra nor its gauge-invariant subalgebra remains invariant under the time evolution for almost all times.
This paper investigates how time-delayed interactions affect the global synchronization of topological oscillators on higher-order structures, deriving analytical conditions via the Master Stability Function and Lambert W-function to show that while delays can either promote or suppress synchronization for signals coupled through the Hodge-Laplace matrix, global synchronization is impossible for signals of different dimensions coupled by the Dirac operator.
This paper formulates scattering experiments using parameterized finite measures to establish an information geometry framework based on the Fisher metric, which decomposes information into scattering strength and shape redistribution, unifies measurement processes as contracting kernels, and connects these concepts to optimal experimental design and quantum measurement theory.
This paper presents a compact formulation of magnetostatics in that derives a mechanical force functional—including Lorentz and Kelvin densities, an asymmetric active stress field, and a pressure term—by defining potential energy without constitutive relations and applying a virtual work principle.
This paper derives exact finite- complex spacing ratio distributions for non-Hermitian Gaussian ensembles in classes AI and AII, providing explicit algebraic expressions for class AII and a normalized integral representation with asymptotic analysis for class AI, all validated by numerical diagonalization.
This paper establishes that the edge scaling limit of the logarithms of squared singular values for multiplicative Brownian motion on yields infinite-particle determinantal dynamics with an explicit double-contour correlation kernel, where the dependence on arbitrary initial conditions (including coinciding coordinates) is encoded by Laguerre–Pólya entire functions.