2563 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 introduces post-Carroll transformations and their associated algebras, including the central-charge-carrying Carroll-Bargmann algebra and its conformal extension, the Carroll-Schrödinger algebra, to construct and analyze invariant field theories and their correlation functions across different dimensions.
This paper establishes that Gibbs measures on high-dimensional Haar-random unimodular lattices exhibit Poisson point process limits and Poisson-Dirichlet ranked weight distributions for shortest vectors, while demonstrating a sharp thermal concentration phenomenon with a critical visibility threshold of for primitive-direction ensembles.
This paper establishes an analytic connection between the exact solutions of a periodically-driven two-level system under linear and rotating-wave driving by mapping the Schrödinger equation to Heun equations and utilizing a perturbative procedure involving bilateral series and continued fractions to recover standard approximations and frequency shifts.
This paper constructs new supersymmetric multiparticle models with spin degrees of freedom by utilizing nonlinear indecomposable supermultiplets, yielding deformed generalizations of the U(2)-spin rational and hyperbolic Calogero systems that are invariant under the OSp(4|2) superconformal group.
This paper presents a symmetric Lanczos method that efficiently computes charge-changing QRPA strength functions over broad energy intervals in atomic nuclei by utilizing a matrix-free approach derived from the finite-amplitude method, offering significant computational advantages over conventional frequency-by-frequency calculations.
This paper establishes the existence of dissipative solutions for the Hasegawa-Mima equation in its Euler-like velocity form for any divergence-free initial condition on both the 2D torus and bounded domains, by adapting the framework originally developed by Lions for the Euler equations.
This paper proves that the large-scale properties of the critical random-cluster model on the square lattice with cluster-weight , including Bernoulli percolation and critical Potts models, exhibit rotational invariance.
This paper derives a fractional stochastic Navier-Stokes equation from constrained Hamiltonian mechanics and establishes its local well-posedness and enstrophy balance on the three-dimensional torus, identifying sharp memory thresholds and critical exponents that govern the competition between fractional dissipation and vortex stretching.
This paper introduces a neural operator learning framework that overcomes the challenges of stiff dynamical systems by employing stiffness-aware scaling, fast-direction excitation, and eigen-structure diagnostics to achieve spectral fidelity and accurate multi-scale modeling.
This paper establishes a coherence law for noisy equivariant quantum neural networks, demonstrating that the trainability of U(1)-symmetric circuits under decoherence is determined not by standard channel diagnostics but by a "readout-visible aligned coherence rate" that governs gradient decay within the active charge sector's backward light cone.