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 demonstrates that Wilson lines in sufficiently rich representations of SYM support a new class of dimension-one operator insertions whose associated deformations are marginally relevant, a finding confirmed by a weak-coupling computation of their four-point function.
This paper defines a quasilocal mass of Bartnik type and proves that it is strictly positive for spacelike hypersurfaces containing apparent horizons and monotonically nondecreasing over time in associated evolutionary scenarios.
This paper reformulates the quantum-classical transition by grounding classicality in the logical constraint of Booleanity rather than the dynamical limit, demonstrating that the EPR argument reveals inherent classical boundaries within quantum mechanics and proposing a new ontological framework that unifies objective phenomena with non-objective interference through a structural bipartition of observation.
PDE-Agents is an LLM-orchestrated multi-agent framework that automates finite element simulations through natural language, demonstrating that GraphRAG-augmented reasoning significantly enhances task success and material property fidelity compared to non-augmented baselines.
This paper classifies Markovian quantum channels for single-rebit systems and demonstrates their application in modeling chromatic distortion and color vision deficiencies through simulations of perceived color under non-neutral illumination.
This paper establishes that for composite finite quantum systems with even total dimension , both the Clifford group and the projective Clifford group possess a natural semidirect product structure if and only if is not divisible by four.
This paper develops the direct and inverse scattering framework for the focusing cubic nonlinear Schrödinger equation with elliptic background and distinct phases at infinity, demonstrating that this class of initial data intersects with full soliton gas configurations.
This paper establishes a finite-scale one-component regularity mechanism for 3D Navier-Stokes suitable weak solutions by proving that smallness of the vertical velocity component yields a positive local regularity radius through harmonic pressure approximation, while further offering conditional logarithmic and power-type refinements via two-shadow and relaxed-shadowing comparison techniques.
This paper presents a comprehensive microscopic universal theory for symmetry-enriched topological quantum spin liquids that utilizes measurable microscopical quantities to characterize their universal properties, establishes a precise crystalline equivalence principle via a bijective map between lattice and internal symmetry data, and validates the framework through demonstrations on various quantum hardware platforms.
This paper investigates the spectral properties of tight-binding Hamiltonians on finite incidence geometries, demonstrating how real versus complex projective embeddings control wave localization and establishing a formal isomorphism between these discrete networks and the $SU(6)$ flavor symmetry sector of the Standard Model.