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 wavefunction of the universe for conformally coupled scalars in power-law FRW cosmologies satisfies a graphical coaction that reveals its complete analytic structure through acyclic minors of Feynman graphs, thereby reproducing known kinematic flows and simplifying the extraction of discontinuities across all particle multiplicities and loop orders.
This paper derives a nonlinear uncertainty principle for Lipschitz maps on Banach spaces, demonstrating that it generalizes and reduces to the classical Heisenberg-Robertson-Schrodinger uncertainty principle when applied to linear operators on Hilbert spaces.
This paper revisits the theory of multiplier modules of Hilbert C*-modules to establish their invariance under strong Morita equivalence, characterize the relationships between their associated operator algebras and duals, and demonstrate that while the extension of bounded module operators and functionals from a Hilbert C*-module to its multiplier module may fail to exist, any such existing extension is necessarily unique.
This paper computes various families of commuting elements in the matrix shuffle algebra of type , expected to be isomorphic to quantum toroidal , by expressing them as partial traces of products of -matrices with a lattice path interpretation, utilizing quantum toroidal algebra machinery and a new anti-homomorphism.
This paper establishes the continuum excursion decomposition of the two-dimensional critical XOR-Ising model by linking it to level sets of a Gaussian free field and proving that this decomposition emerges as the scaling limit of the discrete double random current model on the square lattice.
This paper formulates positive and negative flows of the Chen-Lee-Lee-Liu model and Burgers hierarchy using Riemann-Hilbert-Birkhoff decomposition, derives their soliton solutions and vertex operators via a dressing method for both zero and constant non-zero vacua, and introduces gauge-Bäcklund transformations to generate additional multi-soliton solutions through interactions with integrable defects.
This paper establishes the precise late-time asymptotics and decay rates for the neutral massive Maxwell (Proca) equation on subextremal Reissner--Nordström exteriors by developing a threshold spectral theory that resolves the even-sector coupling into distinct polarization channels, thereby proving logarithmic decay for the full field while identifying a universal polynomial tail for its radiative component.
This paper establishes that the scattering coefficients for Schrödinger operators in with finitely many concentric -shell interactions can be expressed as ratios of determinants of finite-dimensional boundary matrices, and it provides an explicit analysis of threshold effects and scattering lengths for the specific case of two shells in the -wave channel.
This paper classifies intrinsically mixed d bosonic SPT phases with non-invertible symmetry by establishing a correspondence with endomorphisms of , identifying their associated bulk condensable algebras, and providing an explicit lattice realization via modified Kitaev quantum double models that yield twisted group-based cluster states.
This paper presents a closed-form analytic expression for four-point correlation numbers involving Ramond fields in super Minimal Liouville Gravity by adapting the higher equations of motion framework and boundary contribution methods previously established for bosonic and Neveu-Schwarz sectors.