2656 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 demonstrates that the bulk eigenvectors of two deformed Wigner matrices become asymptotically orthogonal and exhibit small quadratic forms with deterministic matrices when their perturbations are sufficiently distinct, thereby generalizing the Eigenstate Thermalization Hypothesis to eigenvectors from different spectral families.
This paper analytically determines the exact critical exponents and for the Motzkin and Fredkin chains by utilizing a transfer matrix derived from their matrix product state representation combined with renormalization group analysis, thereby overcoming previous limitations in characterizing their exotic quantum phase transition.
This paper introduces a novel on-shell recursive framework for biadjoint and pure Yang-Mills theories, derived from double-cover CHY factorization, which reconstructs amputated currents and reformulates BCJ numerators into an explicitly on-shell factorized form.
This paper introduces a Jeffrey--Kirwan residue contour integral formalism that unifies the computation of K-theoretic equivariant Pandharipande--Thomas and Donaldson--Thomas 4-vertices by varying the reference vector, while also exploring their correspondence and generalizations in the context of 4-folds.
This paper introduces quantum corner polynomials as a generalization of Sergeev-Veselov super Macdonald polynomials, establishes their correspondence with quantum corner vertex operator algebras, and provides a rigorous proof of their partial symmetricity.
This paper establishes a physical and topological correspondence between dynamical stabilizer codes and non-invertible symmetries in 4+1-dimensional 2-form gauge theories, mapping measurement sequences to symmetry fusions and error detectors to endable surface operators to provide a unified framework for understanding fault tolerance and recovering spacetime stabilizer codes.
This paper establishes that any simply-connected shell, regardless of its geometric complexity such as corrugations or wrinkles, inherently resists exactly three of the six possible load cases while accommodating the other three, due to the three-dimensional nature of its strain space relaxable into infinitesimal isometries.
This paper demonstrates that the Zassenhaus formula simplifies under the "no-mixed adjoint property," enabling an exact, Trotterization-free Unitary Coupled Cluster ansatz for strongly correlated electron systems that requires only a finite number of Givens gates and clarifies the conditions for exact solutions in disentangled forms.
This paper demonstrates that interacting paraparticle chains with flavor-blind Hamiltonians exhibit a factorized Hilbert space where periodic boundary conditions induce flux sectors that render parastatistics observable as shifted conformal towers in the energy spectrum, effectively mapping the system to an exactly solvable XXZ chain with flux.
This paper establishes the unique identifiability of drift and diffusion terms in nonlinear stochastic differential equations by analyzing their ergodic invariant measures, thereby transforming the inverse problem into a uniqueness question for stationary Fokker-Planck equations and revealing fundamental distinctions between drift and diffusion recovery.