1668 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 provides a complete characterization of the phase diagram for the Ising model on a two-community stochastic block model, detailing the almost sure uniqueness/non-uniqueness phase transition, the convergence of magnetization to specific Dirac mixtures in the supercritical regime, and the distinct fluctuation behaviors (Gaussian vs. non-Gaussian) in the subcritical and critical regions.
This paper investigates the complexity of TAP states in Ising spin glasses by formulating three conjectures linking their enumeration to the Legendre transform of Parisi-based functionals and establishing a lower bound on the annealed complexity that supports these predictions.
This paper investigates instanton counting in four-dimensional supersymmetric gauge theories on the blow-up of by modeling the moduli space as a quiver variety with stability parameters, characterizing contributions via super-partitions to analyze wall-crossing phenomena and explicitly reproduce the Nakajima-Yoshioka blow-up formula.
This paper develops an exact path integral formulation for finite-dimensional quantum systems in discrete phase space, deriving a sum-over-paths propagator that captures full entanglement dynamics through coherent contributions from all fluctuation sectors, thereby overcoming the limitations of single-sector approximations and providing a framework for semiclassical simulation and non-classicality characterization.
This paper derives three new asymptotic models for collision-free plasmas in magnetic fields, establishes their well-posedness in Sobolev spaces, and demonstrates the existence of wave-breaking solutions for a unidirectional model related to the Fornberg-Whitham equation.
This paper investigates the resurgent structure of Walcher's real topological string on general Calabi-Yau manifolds by deriving trans-series solutions and explicit multi-instanton amplitudes, revealing that integer disk-counting invariants manifest as Stokes constants, with results experimentally verified for local .
This paper introduces Quantum Spatial Best-Arm Identification (QSBAI), a framework leveraging quantum walks to solve the best-arm identification problem in graph-constrained bandits by encoding spatial restrictions into superpositions and extending amplitude amplification techniques to general graph structures.
This paper establishes Anderson localization for a hierarchical Anderson-Bernoulli model on the -dimensional integer lattice with arbitrary dimension, utilizing a geometric hierarchical structure combined with i.i.d. Bernoulli random variables, and further demonstrates the applicability of its method to proving a probabilistic unique continuation result on .
This paper investigates quantum sensing protocols utilizing Haar random unitary gates within Floquet chaotic dynamics, demonstrating that while asymptotic precision scales linearly (shot-noise limit) in large Hilbert spaces, non-asymptotic regimes offer quantum advantages, and it further establishes that Floquet random quantum circuits effectively mimic global unitary operators in the limit of large local dimensions.
This paper establishes a discrete-to-continuum limit via -convergence for atomistic systems with rigid interactions, demonstrating that the resulting continuum energy concentrates on grain boundaries and decomposes into twice the solid-vacuum transition energy due to the energetic unfavorability of solid-solid interpolating layers.