3190 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 refutes the total-current Hohenberg-Kohn conjecture by presenting three counterexamples involving two spinless fermions in three dimensions, where distinct Hamiltonians with different magnetic fields share the same ground-state particle density and zero total current.
This paper proves the strong DR/DZ equivalence conjecture by establishing the Miura equivalence between the double ramification hierarchy and the Dubrovin-Zhang hierarchy associated with any semi-simple cohomological field theory.
This paper presents a Bethe-ansatz-type construction for the eigenvectors and eigenvalues of -curvature operators associated with KZ-type differential connections in characteristic , utilizing characteristic hypergeometric integrals to define flat eigensections over Frobenius neighborhoods.
This paper proposes a robust logical qubit encoding scheme using even and odd Schrödinger cat states within a V-symmetrical qutrit ensemble, which achieves immunity against dissipation and correlated dephasing while enabling universal single-qubit gate operations through a physically realizable system of coupled cavities and alkali atoms.
This paper introduces Laplacians on finite metric graphs with generalized densities to unify various operator classes, proving the existence of minimal -th eigenvalues under spectral optimization and establishing their geometric characterization via resistance metrics and Weyl laws.
This paper establishes the strict monotonicity of critical points in independent long-range percolation models on locally finite vertex-transitive graphs under minimal assumptions by employing coupling techniques that improve upon previous methods and apply to both directed and undirected bond percolation.
This paper analyzes the stationary distribution of the discrete Bak-Sneppen model on finite connected graphs of bounded degree, establishing uniform bounds on the probability of vertices having fitness one in the small- regime and deriving exponential tail bounds for the density of zeros in the complementary regime.
This paper constructs the unique half-space KPZ line ensemble as a resampling-invariant object and establishes its convergence to the Airy line ensemble away from the boundary and to a specific one-sided Brownian Gibbs process near the boundary under KPZ scaling in both critical and supercritical regimes.
This paper establishes necessary and sufficient conditions for the Law of Large Numbers in discrete -particle systems at high temperature by utilizing Jack generating functions and the asymptotics of Cherednik operators, thereby unifying and extending previous results on quantized free cumulants and random matrix eigenvalues.
This paper establishes the existence of global weak solutions for the one-dimensional electrostatic quasilinear model in plasma physics and characterizes the long-time convergence to a unique equilibrium state that minimizes a quadratic functional and forms plateaus in the particle distribution.