1647 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 article presents a two-step resolution of singularities for irreducible configuration hyperplanes by constructing a smooth tropical compactification of a Bloch-type incidence variety via bipermutohedral matroid combinatorics and simultaneously establishes that the normalized Nash resolution possesses strongly F-regular and rational singularities.
This paper provides a pedagogical review of using Conformal Field Theory techniques to compute Schramm-Loewner Evolution observables in the upper half-plane, successfully recovering known results like Schramm's left-passage probability and anchored cluster densities while deriving new formulas for the densities of pivotal points in critical Fortuin-Kasteleyn clusters.
This paper presents an inductive method to solve the two-site Bose-Hubbard dimer by mapping its hopping Hamiltonian to a spin projection operator, thereby revealing that the system's dynamics under the square of this Hamiltonian generate Schrödinger cat states.
This paper introduces a simple ansatz utilizing a rotated Pauli basis and a specific phase dependence to derive three distinct families of exact wave solutions for sourceless SU(2) Yang-Mills equations in (3+1) dimensions, ranging from linear Abelian waves and genuinely nonlinear self-interacting waves with constant field offsets to pure gauge solutions.
This paper demonstrates that the time-dependent $SU(2)$ Gross-Neveu model is integrable when its coupling strength follows the static model's renormalization group flow, establishing a direct equivalence between time evolution and RG flow that leads to time-dependent dynamical dimensional transmutation and asymptotic freedom toward the WZNW model.
This paper introduces a novel class of Lie superalgebras called type Q Kac–Moody (QKM) algebras by replacing the maximal even torus with a maximal quasitoral subalgebra, leading to a rigid theory that classifies finite-growth instances and naturally recovers twisted superconformal algebras while offering new insights into the distinctiveness of .
This paper analyzes the cusp-fold behavior of bifurcation solutions emerging from the figure-eight choreography in the three-body problem under specific potentials, demonstrating that this folding phenomenon occurs under conditions determined by the third and fourth expansion coefficients of the Lyapunov-Schmidt reduced action.
This article provides a rigorous framework for classifying the asymptotic behavior of time-dependent Lindblad equations with Hermitian jump operators by supplying a necessary and sufficient criterion for the uniqueness of the stationary state and by distinguishing between symmetries in the Schrödinger and interaction picture representations to explain the emergence of both time-independent and non-trivial oscillating stationary states.
This paper demonstrates that in a strictly static spacetime wormhole, the magnetic-type tidal Love number for vanishes under axial gravitational perturbations when the solution is approximated to linear order in the geometry's regularisation parameter.
This paper defines and characterizes completely positive, non-signalling non-Markovian quantum dynamics as an integro-differential equation extending the Lindblad formalism, enabling the exact calculation of multi-time correlations and the derivation of memory-encoded spectral features without relying on the regression theorem.