3307 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 quantum electrodynamics model for massive dyons based on a gauge group that abandons the Dirac quantization condition, and rigorously demonstrates its quantum consistency by proving it is free of anomalies and multiplicatively renormalizable at all orders using BRS algebraic renormalization and the BPHZL procedure.
This paper demonstrates that primitive canonical graph integrals coincide with specific position-space integrals from deformation quantization, thereby proving that these integrals evaluate to single-valued multiple zeta values and that every such value can be expressed as a rational linear combination of Feynman periods.
This paper constructs an open enumerative theory for a specific two-dimensional Landau-Ginzburg model, establishing an open mirror symmetry theorem with all descendents and characterizing the wall-crossing phenomena of the resulting invariants through a dedicated LG wall-crossing group.
This paper establishes a finite-energy locality principle for geometrically local bosonic open systems that enables efficient simulation and learning of polynomial Hamiltonians with explicit error bounds, achieving sample complexity and scaling comparable to the best-known finite-dimensional qubit methods.
This paper derives an explicit formula for the zeta-regularized spectral determinant of Friedrichs Laplacians on singular constant curvature spheres constructed from double triangles, expressing the result in terms of Belyi functions and applying it to Platonic surfaces that serve as stationary points of the determinant.
This paper presents new combinatorial formulae for vector-valued weight functions, also known as off-shell nested Bethe vectors, specifically for evaluation modules over the Yangian .
This paper establishes a structural theorem linking the higher-genus free energy functions of Dubrovin-Zhang hierarchies to the Witten-Kontsevich free energy function, enabling the construction of universal identities for these hierarchies without relying on the geometry of higher-genus moduli spaces.
This paper investigates resonance in two uncoupled oscillators moving within a rectilinear polygon under elastic reflections, establishing a trichotomy for the size of resonant energy sets (empty, singleton, or open) and identifying a special class of potentials, , that allows for an abundance of resonant orbits, analogous to Bertrand's theorem.
This paper establishes a hyperpfaffian framework for computing correlation functions in -ensembles where is an even square integer (), generalizing skew-orthogonal polynomials to construct sparse -vector valued functions that express -point correlations via Vandermonde determinants and hyperpfaffians, with explicit applications to circular ensembles and the case.
This paper presents numerical results and theoretical insights up to 50 qubits to characterize the convergence rates of random quantum circuits to approximate 2-designs, revealing that while most architectures achieve this in logarithmic depth, specific graph topologies like the star graph exhibit a separation between anticoncentration and 2-design formation, and that practical 2-designs can be constructed with significantly fewer layers than previously thought.