2563 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 resurgent structure of short-time heat kernel asymptotics on real analytic Riemannian manifolds by formulating an infinite-dimensional Picard-Lefschetz framework that connects alien operators to complex geodesic data, a proposal which is validated through a test case on the hyperbolic plane.
This paper proposes a discrete warped Chern-Simons gravity framework for three-dimensional warped AdS holography, demonstrating that boundary monodromies derived from ordered link holonomies serve as fundamental gauge-invariant observables that characterize physical sectors and reproduce warped black hole entropy and WCFT structures in the continuum limit.
This paper establishes geometric and analytic constraints on closed 4-manifolds admitting nontrivial Vafa-Witten solutions, including new inequalities relating the Yamabe constant to the self-dual Weyl tensor, sharp volume bounds for positive Einstein manifolds, a correspondence between stable flat connections on 3-manifolds and -invariant solutions, and an energy gap theorem for the moduli space.
This paper presents a complete two-dimensional theoretical model for the electromagnetic behavior of square-section magnetic bars under sinusoidal loading, deriving exact mathematical expressions for key parameters and introducing a new apparent permeability parameter that enables rapid magnetic steel characterization while bypassing the computational costs of Finite Element Analysis.
This paper establishes that the crossing probabilities of level lines for both the continuum and metric graph Gaussian free fields with piecewise constant boundary data are determined by specific degenerate conformal blocks and ratios of fused partition functions, which satisfy higher-order BPZ equations and correspond to conformal blocks labeled by generalized Dyck paths subject to monotonicity constraints.
This paper demonstrates that a symmetric quartic deformation of the Tempesta-Turbiner-Winternitz system is non-integrable for small coupling due to the absence of a second independent first integral near a phase-locked orbit, while also showing that the system's singular barriers suppress chaotic transport without restoring integrability at finite coupling.
This paper proposes a finite-proper-time formulation of QED that maintains exact gauge covariance and unitarity while yielding finite vacuum polarization and a calculable anomalous magnetic moment correction, resulting in a specific on-shell electron mass prediction without the need for renormalization.
This paper proposes a unified framework interpreting oscillons as localized discrete resonant modes arising from either threshold or antibound states due to nonlinearity, and extends this concept to predict the existence of "wobblerons" as nonlinear oscillon-kink bound states.
This paper introduces compatible Lie conformal bialgebras as conformal analogues of compatible Lie bialgebras, establishing their structural properties, duality, and equivalence to Manin triples and matched pairs, while characterizing their coboundary forms through a set of three conformal Yang–Baxter conditions that are distinct from the compatible conformal classical Yang–Baxter equation.
This paper investigates the consistency of background field decomposition methods in a two-dimensional nonlinear sigma model with the Heisenberg group, demonstrating that only one variant is valid for generating functionals, while also performing multi-loop renormalization and analyzing the compatibility of cutoffs with special functional relations.