1694 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 and analyzes the stability of single-frequency asymptotic solutions for damped driven Maxwell-Bloch equations under quasiperiodic pumping by utilizing Hopf reduction and averaging theory to describe laser action in a semiclassical framework.
This paper proves the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on lattice graphs for , thereby extending previous results from finite graphs to infinite lattice structures.
This paper establishes two-term spectral asymptotics for the linear elasticity operator with mixed boundary conditions on smooth compact Riemannian manifolds of arbitrary dimension, validating the general formulae through explicit analytical and numerical examples in two and three dimensions.
This paper proposes a unified framework for extended chiral and bulk conformal field theories and their corresponding topological orders by explicitly constructing a "bulk semion" subalgebra that elucidates the correspondence between fusion rules, generalized symmetries, and topological holography, thereby offering a method to derive topological order data directly from bulk CFTs.
This paper investigates the null-controllability cost of the one-dimensional Burgers' equation linearized at a stationary shock in the vanishing viscosity limit, establishing bounds on the required control time and constructing explicit admissible controls using complex analysis methods.
This paper demonstrates that recurrent networks with low-rank connectivity structures can exhibit high-dimensional dynamics when driven by external inputs, a phenomenon termed "low-rank suppression" where activity is suppressed along the network's intrinsic low-dimensional axes.
This paper proposes a generic approach using spontaneous symmetry breaking to construct 3D lattice models that evade the no-go theorem and yield a single Weyl fermion in the infrared limit, demonstrating that these models form an equivalent class with gapless superconductors and superfluids across three distinct symmetry-breaking pathways.
This paper establishes a quantitative upper bound on the supercritical disconnection probability for Bernoulli site percolation on infinite, connected, locally finite graphs by introducing a recursive packing number that counts essentially independent local witnesses for the disconnection event.
This paper investigates Schrödinger operators on with concentric spherical -shell interactions by deriving an explicit resolvent representation via boundary integral methods and providing a detailed spectral analysis of the two-shell case, including ground state characterization and tunneling effects relevant to quantum dot modeling.
This paper introduces a non-perturbative framework for calculating N-point correlation functions and polyspectra of locally non-Gaussian fields, offering a semi-perturbative alternative to local expansions and demonstrating its efficacy by deriving exact analytic results for fields with exponential tails in the strongly non-Gaussian limit.