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 establishes a general framework for the limits of stochastic semigroups as their invariant distributions converge, demonstrating that these limits form block-upper-triangular structures that define a new "Block-Triangular majorisation" ordering which interpolates between ordinary and unordered majorisation and is characterized by specific monotones and Rényi entropy behaviors.
This paper proves that for a grand-canonical reduced BCS Hamiltonian with attractive pairing, the exact finite-volume ground-state energy differs from the BCS functional minimum by a volume-independent error, thereby establishing the exactness of the BCS variational principle for the ground-state energy density in the thermodynamic limit.
This paper proposes that the vertex operator algebras associated with Argyres--Douglas theories are logarithmic doublet algebras and constructs a corresponding family of 3d abelian Chern--Simons matter theories that flow to SCFTs via R-twisted circle reduction, supported by matching central charges, Schur indices, and superconformal indices.
This paper establishes the existence of a non-trivial, conformally invariant, and local metric on the CLE loop ensemble by proving that it arises as a subsequential limit of renormalized graph metrics on CLE as , thereby characterizing the metric ball growth via the uniform exploration of Werner and Wu.
This paper establishes the existence of geodesics within the conformally invariant metric uniquely determined by the CLE ensemble, proving that these geodesics are supported on the loops themselves and do not intersect the domain boundary, while also providing sharp quantitative estimates for the metric's geometry.
This final paper in a series establishes the uniqueness and measurability of the canonical conformally invariant metric on CLE loops, proving that the renormalized graph metric converges without subsequences and is fully determined by geodesics arising from uniform exploration.
This paper establishes a comprehensive coincident gauge framework for cosmology with arbitrary spatial curvature by constructing coordinates from cosmological Killing vectors, thereby correcting previous literature flaws, unifying flat and curved solutions with metric teleparallel models, and clarifying the roles of diffeomorphism and local Lorentz invariance.
This paper establishes a geometric framework for classifying mutually unbiased bases (MUBs) by analyzing their decomposition into group orbits, a theory that generalizes the link to complex Hadamard matrices and is applied to reduce the parameter space of MUB triples in dimension four by a factor of four.
This paper establishes that the reconstructability of physical systems from observational data is fundamentally bounded by the group-representation structure of the observation and reconstruction spaces, a theoretical framework validated through the successful reconstruction of local velocity-gradient tensors in fluid flows using SO(3)-equivariant neural networks.
This paper presents numerical and analytical evidence for the spontaneous breaking of a continuous symmetry at a non-conformal quantum critical point in a one-dimensional spin-1 chain, revealing a novel mechanism where the critical point exhibits Kardar-Parisi-Zhang dynamics () and true long-range order distinct from established universality classes.