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 establishes the existence and emergence of semiclassical resonances near Landau levels for the magnetic Laplacian under various local magnetic field configurations, including locally constant fields, magnetic step discontinuities, non-degenerate wells, and fields with isolated zeros, utilizing semiclassical complex scaling and black box scattering theory.
This paper presents a physics-based numerical model that synthesizes seismic signals from gravel-bed rivers by integrating grain-scale particle dynamics with turbulent flow effects, demonstrating its ability to distinguish between sediment transport and flow-induced noise through comparison with observed flood data.
This paper establishes an operator-algebraic framework for Morita equivalence of quantum graphs based on -equivalence, demonstrating that irreducibly acting quantum graphs are Morita equivalent if and only if they are full pullbacks of a common graph, while proving that key graph invariants such as the Lovász number and Shannon capacity remain invariant under this equivalence.
This paper establishes the existence and completeness of wave operators for Jacobi matrices whose spectral measures satisfy the Szegő condition, provided a mild additional assumption holds for the associated Verblunsky coefficients.
This paper establishes the uniform analyticity of local observables in FK-percolation under mixing assumptions, a result that is leveraged to prove the analyticity of the Potts model's magnetisation (including the Ising case in all dimensions within the supercritical regime) and susceptibility across the subcritical interval, as well as various connectivity probabilities.
This paper demonstrates that a specific family of efficiently implementable quasi-local dissipative evolutions can universally prepare high-temperature Gibbs states and their purifications in polynomial time, while also achieving computational universality equivalent to polynomial-time quantum computing in the low-temperature regime.
This paper introduces the tapered quantum phase estimation (tQPE) algorithm, which leverages classical signal processing window functions to achieve asymptotically optimal query complexity for coherent phase estimation without the high resource overhead of the standard coherent median technique, while also providing an efficiently preparable state that incurs at most a factor-of-two increase in error probability.
This review paper examines the challenges, key advances, and open problems in extending the renormalization group framework from traditional physical systems to the heterogeneous and geometrically complex realm of real-world networks.
This paper rigorously derives the physical gauge group of Yang-Mills theory as the quotient of boundary-preserving gauge transformations by Gauss law transformations by analyzing the structure of the instantaneous state space, and extends this analysis to demonstrate how boundary conditions and the resulting gauge group differ between the unbroken and broken phases of Yang-Mills-Higgs theory.
This paper establishes a prequantum bundle structure over the space of codimension-2 submanifolds by using complex-valued implicit representations, thereby offering a new geometric interpretation of the Marsden-Weinstein symplectic structure as the curvature of a connection form that measures the average volume swept by phase level set deformations.