3190 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 establishes a coherent definition of dagger -categories using equivariance data and applies this framework to the bordism category to define fully-local reflection-positive topological quantum field theories as higher dagger functors.
This paper demonstrates that the mean-field Hartree approximation fails for bosonic many-body systems governed by non-Hermitian Hamiltonians, as it cannot correctly capture the dynamics of one-particle marginal states in the thermodynamic limit, even for systems with real spectra.
This paper introduces a polynomial measure for W-entanglement to complete the theoretical framework of pure three-qubit states, establishing a hierarchy where bipartite, W, and GHZ entanglement measures are ordered in magnitude while their corresponding entanglement types are ordered in strength.
This paper establishes new representations, continuity, and asymptotic estimates for the pair correlation function of the Sine process across all by analyzing the one-point function of the process, while providing explicit characterizations and power series expansions for even integer values of that recover classical results for and $4$.
This paper establishes a no-go theorem proving that bipartite long-range entanglement is unstable and decays exponentially with distance at arbitrary temperatures, while introducing a new quantum correlation measure to derive general limits on quantum metrological resources like the Wigner-Yanase-Dyson skew information.
This paper rigorously proves the validity of a mean-field approximation for the Bose-Hubbard model in high dimensions by establishing a trace norm estimate between the Schrödinger dynamics and a non-trivial mean-field equation that preserves full interactions, thereby providing a mathematical justification for dynamical mean-field theory (DMFT) in capturing the superfluid-to-Mott insulator transition.
This paper proves that the correlation length of FK-percolation and Potts models on is analytic throughout the subcritical regime by utilizing Kato's analytic perturbation theory and the FK-Ruelle operator, thereby demonstrating that rotational invariance of the correlation length occurs only at countably many temperature values.
This paper constructs real analytic metrics on the two-torus featuring a fixed nongeodesic circle as a common nodal component for infinitely many Laplace eigenfunctions, thereby providing counterexamples to conjectures by Bourgain-Rudnick, Toth-Zelditch, and Han regarding the necessity of geodesicity for such curves, while establishing uniform lower bounds for joint eigenfunctions in quantum completely integrable systems to explain the underlying restriction obstructions.
This paper establishes that in the homogenization of a viscous fluid containing a periodic array of tiny elastic inclusions within a critical scaling regime, the macroscopic fluid behavior is governed by a Stokes system with memory, where the memory kernels exhibit persistent oscillations for infinite stiffness scaling but decay due to viscous dissipation for finite scaling.
This paper presents a dislocation-link-based plastic flow rule for FCC crystals that accurately reproduces discrete dislocation dynamics data by demonstrating that the exponential dependence of shear rate on stress arises from the filtering of an exponential link-length distribution through a threshold-like velocity function, revealing that the supply of long dislocation links is the dominant factor controlling slip activity rather than the direct effect of resolved shear stress.