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 develops a real-time Schwinger-Keldysh formulation of Krylov dynamics that treats Krylov complexity as an in-in observable, revealing an emergent phase-space description where semiclassical chaos and integrability-chaos crossovers are characterized by the behavior of Lanczos coefficients and their fluctuations.
This paper establishes a framework for exactly reconstructing Krylov complexity for polynomially prepared initial states from a single reference cyclic system using Christoffel transforms, thereby deriving rigorous bounds on physical displacement and demonstrating universal asymptotic convergence across diverse quantum models without requiring new Lanczos recursions.
This paper provides a rigorous one-dimensional formulation proving that a specific Abel-regularized transport response in clean, translation-invariant systems converges to the Euler characteristic of the Fermi sea in the large-time limit, while also establishing the corresponding lattice analog and analyzing finite-time convergence rates.
This paper proposes that generalized infinite- limits of boundary CFTs, defined via free ultrafilters as "ultralimits," yield a family of theories () whose ensemble average in the gravitational path integral accounts for baby universes and spacetime wormholes, particularly in the context of Antonini-Sasieta-Swingle-like states.
This paper provides a rigorous proof that the fractional Hall conductance of Laughlin states is quantized as a topological index, utilizing a Laughlin-pump argument combined with infinite matrix product state analysis on a thin cylinder to establish these states as representatives of topologically stable fractional quantum Hall phases.
The paper proves that the continuum scaling limit of three-dimensional U(1) lattice Yang--Mills Langevin dynamics, under weak coupling and in the DeTurck gauge, universally converges locally in time to the solution of the one-form stochastic heat equation, regardless of the specific higher-order details of the plaquette action.
This paper proposes an integrable systems approach that embeds entanglement entropy quantities into tau functions satisfying Toda-type lattice equations to derive linear difference equations, thereby providing a unified and efficient method for calculating exact cumulants of random state ensembles without relying on traditional random matrix frameworks.
This paper presents a generalized reduction framework for time-dependent Hamiltonian systems by combining cotangent bundle reduction with the reduction of corank 1 and 2 presymplectic structures, thereby overcoming limitations of the original Albert reduction and extending previous work through the application of an extended formalism to presymplectic principal -bundles.
This paper explicitly proves previously proposed K-identities for n-point hard string scattering amplitudes and introduces a generating function for an infinite set of generalized K-identities, where the lowest and next-to-leading orders correspond to the scattering equations in the CHY formalism and the original K-identities, respectively, suggesting their utility for calculating higher-order amplitudes.
This paper establishes that two-dimensional superconductors are characterized by a Lorentzian contact manifold geometry, where the superconducting state is defined by the geodesic flow of induced currents and their non-vanishing helicity.