3366 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 robust, automated method combining Fourier analysis and statistical classification to reliably identify and distinguish chimera states from other dynamical patterns in complex coupled oscillator systems, demonstrating its effectiveness and generalizability across varying network topologies and parameters.
This paper provides an accessible review of symplectic fermions, a logarithmic conformal field theory with central charge $-2$, by explicitly constructing its field space and correlation functions while discussing its logarithmic structure within the context of lattice model scaling limits.
This paper introduces the magnetic Euler-Arnold equation by combining Arnold's geometric approach to fluid dynamics with his formulation of charged particle motion in magnetic fields, demonstrating that several important infinite-dimensional systems—including the Korteweg-de Vries and global quasi-geostrophic equations—can be interpreted as such magnetic geodesic flows while establishing new well-posedness results.
This paper demonstrates that the standard QAOA faces intrinsic feasibility bottlenecks on constrained problems with low-dimensional solution manifolds, but introduces a constraint-embedded variant (CE QAOA) that achieves provable exponential enhancement in feasible solution probability by operating directly within the valid subspace.
This paper derives decomposition formulas for supercharacters of quantum affine ortho-symplectic superalgebras and twisted quantum affine superalgebras via a folding procedure applied to supercharacters, ultimately providing explicit character formulas for Kirillov-Reshetikhin modules that confirm a conjecture based on Bethe ansatz analysis.
This paper establishes that ergodic quantum spin systems with random local interactions always possess disordered ground states in the thermodynamic limit sharing the system's symmetry, a result derived using almost-sure disordered Lieb-Robinson bounds and new measure-theoretic tools, which further implies the deterministic nature of the associated GNS Hamiltonian spectrum.
This paper demonstrates that in the high-dimensional Bayes-optimal setting, the information-theoretic limits of symmetric matrix factorization with a sublinear-rank signal () are identical to those of the standard rank-one spiked Wigner model, a result established through a novel multiscale cavity method.
This paper demonstrates that the 1976 work of Gorini, Kossakowski, and Sudarshan provides the foundation for a generalized Choi isomorphism, which is then applied to compute the GKS matrix for the time evolution of general open quantum systems up to second order in time.
This paper establishes that manifolds with uniformly bounded geodesic return times or analytic metrics share the compactness and finite fundamental group properties of manifolds by demonstrating that such manifolds arise as Cauchy surfaces of observer-refocusing spacetimes, thereby linking their topological constraints to Lorentzian refocusing phenomena.
This paper establishes that the complexification of real Lie algebras provides the mathematical framework necessary to derive the irreducible representations of the proper Lorentz group, thereby demonstrating how the group's algebraic structure fundamentally determines the physical nature of matter and fields in the universe.