2548 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 investigates the global structure of topological defects wrapping submanifolds in quantum field theories by applying the Pontryagin-Thom construction to analyze characteristic structures in four-dimensional manifolds and to determine the dimensional conditions under which higher-form finite symmetries can spontaneously break.
This paper establishes two rigidity results for Laplace-isospectral deformations of generic Liouville metrics on the two-dimensional torus, proving that affine deformations are trivial and analytic deformations with trigonometric polynomial coefficients are merely componentwise rearrangements of the original metric.
This paper proposes and validates a microscopic, weak-coupling mechanism where interacting electrons coupled to a Markovian Ohmic bath asymptotically relax toward ideal Chern bands, thereby providing a dissipative pathway to stabilize fractional Chern insulators by driving the system's quantum geometry toward saturation.
This paper establishes a general Dyson expansion for relatively form-bounded perturbations and applies it to various polaron models to prove that their vacuum heat semi-group expectations are completely monotone functions of the squared total momentum, thereby demonstrating the concavity of the ground state energy.
This paper demonstrates that the naive limit of -valued gauge theory fails to recover standard Maxwell theory by yielding a flat theory, and instead constructs a corrected sequence of field theories that successfully converge to Maxwell theory by effectively projecting out principal -bundle sectors incompatible with structures, such as those containing magnetic monopoles.
This paper presents a post-processing pipeline to extract interconnection graphs from photomicrographs of silver nanowire networks, revealing that their experimental topologies exhibit small-world and modular characteristics while also analyzing how overestimation of junctions in zenithal-view images impacts key graph metrics like clustering coefficient and path length.
This paper introduces an approximate analytical framework for the thermodynamics of the two-dimensional Ising model in an external magnetic field by utilizing a quaternion representation and small-angle approximation to derive closed-form expressions for key properties like free energy and magnetization, which are validated against BKL algorithm simulations.
This study demonstrates that Kapitza resistance at graphene-copper interfaces in non-equilibrium molecular dynamics simulations is highly sensitive to lattice initialization and residual strain, which can cause a two-fold variation in thermal resistance through strain-dependent phonon spectral shifts and the formation of damping boundary layers, rather than being primarily determined by domain size or simple phonon spectral overlap.
This paper establishes a sharp occupation-condensation transition in a sublinearly vertex-reinforced random walk on regular trees, where increasing reinforcement strength causes the walk's time distribution to concentrate on a single vertex while its spatial range continues to grow logarithmically, with the critical threshold scaling linearly with the tree's branching number.
This paper establishes that for incompressible FENE-Markov fluids with zero center-of-mass diffusion, the complex state-resolved system is uniquely equivalent to its scalar projection via a reversible lift, while also proving strong convergence of regularized solutions and constructing global weak solutions for the diffusive case, thereby demonstrating that internal-state dynamics do not introduce additional nonuniqueness or finite-species reducibility.