2656 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 constructs an arbitrary-order asymptotic expansion for the quantum evolution of coherent states in self-interacting bosonic field theories, refining previous leading-order results by applying Hepp's method to both spatially cutoff models and non-polynomial analytic interactions.
This paper utilizes a covariant spinor moving frame quantization of type IIA and IIB superparticles to reveal a hidden symmetry in linearized supergravity, demonstrating that both theories can be described by identical analytic on-shell superfields and superamplitudes while highlighting specific challenges in extending this formalism to include D0-branes.
This paper establishes the convergence of the near-critical dimer model's height function to a massive sine-Gordon model by introducing a novel framework of discrete massive holomorphic functions with complex-valued, non-constant mass to derive exact discrete Cauchy–Riemann equations for the inverse Kasteleyn matrix.
This paper applies the classical Lie symmetry method to a nonlinear heat-diffusion equation with variable coefficients to classify admitted symmetries, reduce the partial differential equation to ordinary differential equations, and construct invariant solutions for physically relevant cases such as Storm-type materials and power-law dependencies.
This paper establishes the continuum limit of a discrete Hodge-Dirac operator on -dimensional square lattices by introducing a novel higher-dimensional discrete differential calculus framework that generalizes standard simplicial complex methods and proves the operator's convergence to its continuous counterpart as the lattice spacing vanishes.
This paper presents an unbiased method for mapping particles to distribution functions that unifies Boltzmann's and Gibbs' paradigms to derive the principle of maximum entropy, enabling a rigorous statistical mechanical treatment of self-gravitating systems through the decoupling of time and ensemble averages.
This paper derives a novel, local, and crossing-symmetric dispersion relation for 2-2 scattering amplitudes motivated by string theory, demonstrating its utility in bounding Wilson coefficients for gravitational effective field theories and providing convergent series representations for Veneziano, Virasoro-Shapiro, and multi-variable generalizations.
This paper proposes and rigorously establishes a symmetrization relation between 4d BPS quivers and 3d symmetric quivers, demonstrating that the wall-crossing structure of 4d Argyres-Douglas theories is isomorphic to the unlinking of their 3d counterparts and that these symmetric quivers successfully capture the Schur indices of the original 4d theories.
This paper constructs -symmetric conformal boundary states in the Wess-Zumino-Witten conformal field theory by embedding , identifies them as ground states of Affleck-Kennedy-Lieb-Tasaki spin chains within the integrable Uimin-Lai-Sutherland model, and analytically computes their boundary entropy using exact overlap formulas.
This paper employs combinatorial methods based on the tree-level effective action to provide an explicit proof of the covariance of on-shell connected functions and derive a closed formula for tree-level scattering amplitudes with any number of external legs, without relying on specific Lagrangian formulations.