1605 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 proposes a method to discriminate between different topological classes of many-body quantum states by expressing strange correlators as Kirkwood-Dirac quasiprobabilities, thereby establishing a quantum topology witness achievable through interferometric protocols involving sudden quench transformations.
This paper constructs a new three-spectral-parameter Yang-Baxter equation for the chiral Potts model by extending the unification of solvable edge and vertex models, thereby generalizing Onsager's star-triangle relation to account for the higher-genus curve structure and the specific interaction terms of symmetric systems.
This paper proposes a unified representation-level framework for equilibrium quantum many-body theory that characterizes different methods as encoders mapping admissible states to specific variables, thereby clarifying the conditions for exact reconstruction and unifying concepts like functionals, kernels, and quantum embedding through the analysis of state fibers and task-relevant information.
This paper develops the fundamental formulae of hyperspherical trigonometry in multidimensional Euclidean space using vector products to derive addition formulae for elliptic functions with two distinct moduli, and applies these results to establish a connection between the multidimensional Euler top and the Double Elliptic model.
This paper demonstrates that the time evolution of weakly interacting fermions in a cold gas, when viewed as perturbations of the Fermi ball, is effectively governed by a discrete quantum Boltzmann collision operator for the momentum distribution under conditions of small coupling and appropriate initial data.
This paper extends previous work on quantum Boltzmann equations near a Bose-Einstein condensate by employing a renormalization strategy involving Weyl and Bogoliubov transformations to rigorously derive coupled renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations, thereby significantly improving error bounds and extending the time of validity to .
This paper introduces the concept of quasi-twilled Lie algebras to provide a unified framework for defining two types of deformation maps that encompass various operators in Lie algebra theory, thereby establishing their controlling algebras and cohomologies to recover known results and solve previously intractable problems regarding modified -matrices and deformation maps of matched pairs.
This paper investigates how the fusion 2-category symmetry of a fermionic (2+1)d quantum field theory is modified when stacking with topological field theories, specifically , is treated as an equivalence relation, revealing a finite set of inequivalent symmetry modifications linked to minimal nondegenerate extensions and tangential structures.
This paper generalizes the Swendsen-Wang and invaded-cluster algorithms to Potts lattice gauge theory using a plaquette random-cluster model, demonstrating that these methods significantly accelerate autocorrelation decay and enable efficient sampling on 4-dimensional tori compared to traditional single-spin dynamics.
This paper presents exact, horizonless traversable wormhole solutions in massive gravity by combining a perturbative dRGT graviton-mass term with various redshift profiles, demonstrating that the additional anisotropic pressure from the mass term can sustain the wormhole throat while satisfying or minimally violating energy conditions.