3366 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 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 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.
This paper introduces the consecutive lifting-projection (LP) flow as a novel framework that approximates spatially homogeneous Boltzmann and Landau equations by lifting nonlinear collision operators to a higher-dimensional linear Kac master equation, thereby preserving physical conservation laws and entropy while enabling the development of new, stable, and accurate numerical solvers such as the Green's function method.
This paper introduces a new family of finite subgraphs called astroidal zig-zag graphs associated with periodic planar bipartite graphs, for which the authors derive explicit inverse Kasteleyn matrices via double contour integrals and use them to establish phase separation, compute limit shapes, and prove local correlation convergence for dimer models with arbitrary Newton polygons.