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 establishes rigorous upper bounds on the recurrence time of isolated quantum systems by linking it to an inverse quantum speed limit problem, demonstrating that the time scales as and is generically saturated for random Hamiltonians.
This paper introduces a principle derived from Schrödinger's 1935 work to demonstrate that the EPR-locality paradox does not exist within the Copenhagen interpretation of quantum mechanics, even when considering entangled spin states and objections regarding the locality of spin measurements.
This paper demonstrates that a -symmetric quantum impurity model with complex-conjugate boundary Kondo interactions exhibits a monotonic decrease in impurity entropy from to $0$ as it flows from the ultraviolet to the infrared Kondo-screened regime, thereby extending the understanding of entropy flow beyond the standard assumptions of the -theorem in non-Hermitian many-body systems.
This paper characterizes the transition asymptotics of real solutions to the sinh-Gordon Painlevé III equation as both the independent variable and the monodromy parameter tend to infinity, detailing how the solutions evolve from singular behavior to elliptic and finally to trigonometric asymptotics depending on the scaling regime.
This paper establishes the exact exponential cost rate for nonlinear remote stabilization of an Aubry--André chain as the off-spectral Lyapunov exponent at a reflected band edge, proving this identity unconditionally for all phases in the metallic and critical regimes and for almost every phase in the localized regime under specific conditions.
This paper identifies a new sixteen-fold family of (2+1)D fermionic topological orders characterized by a mod 16 't Hooft anomaly of a one-form symmetry, which allows for intrinsically fermionic anyon spins and can be realized as gapped boundaries of twisted (3+1)D fermionic SPT phases via lattice models.
This paper proves that the two-dimensional Blume-Emery-Griffiths model at the Ferromagnetic-Antiquadrupolar-Disordered (FAD) triple point on the square lattice possesses a unique Gibbs measure at any temperature, thereby establishing the absence of phase transitions through a random-cluster representation coupled with Bernoulli site percolation.
This paper solves large- Yang--Mills theory on at strong coupling for the heat-kernel action by proving the existence of a master field with exponentially local coefficients and an area-law upper bound, utilizing a novel rooted heat-kernel master loop equation that closes on an extended space of decorated loop observables.
This paper establishes the analytic foundation for noncommutative anisotropic diffusion in Hilbert spaces by deriving a consistent energy form that accounts for non-commuting anisotropy and covariance operators, and proving key results including form closability, well-posedness of forward dynamics, Mosco stability, and a general weak-bridge theorem linking backward drifts to entropy dissipation.
This paper proposes a cohomological framework for computing conformal anomalies, demonstrating that the leading perturbative beta function in current-current deformed two-dimensional conformal field theories corresponds to the cocycle coefficient obstructing the deformation of the Virasoro module structure, thereby offering a novel perspective and efficient tool for calculating higher-order beta function coefficients.