2548 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 that for a broad class of real-valued spin models on , including Blume-Capel and models, the random cluster representations in the supercritical regime exhibit local uniqueness of macroscopic clusters with high probability, thereby extending known surface-order large deviation bounds for empirical magnetization beyond the previously studied Ising and cases.
This paper provides a complete and exact finite-incidence classification of complex Hadamard matrices of order six up to standard equivalence by proving that every such matrix can be algebraically reconstructed from a corner, thereby resolving a decades-old open problem and confirming Szöllősi's conjecture regarding the structure of these matrices.
This paper constructs new series representations for multiple- integrals, which serve as building blocks for conformal correlators in momentum space, by employing the method of brackets to derive convergent expansions that cover the entire physical kinematic region, overcoming the limitations of existing series representations.
This paper constructs -discrete Painlevé I and II equations and their higher-order analogues using periodic cluster algebras with specific exchange matrices, demonstrating that the resulting equations for satisfy the co-primeness integrability criterion.
This paper enhances a mean-field approach using an iterative stochastic approximation to analyze the asynchronous state of disordered Kuramoto models with finite oscillators, effectively reducing the complex system to one-dimensional dynamics to investigate power spectra and network noise in both homogeneous and heterogeneous networks.
This paper proposes a phenomenological approach to deriving quantum mechanics solely from sequential measurement data, demonstrating that such observations necessitate a non-classical "bi-trajectory" formalism rooted in Hilbert spaces rather than a standard uni-trajectory state description.
This paper proves that the Quantum Sun model, a genuine many-body system of interacting spins with distance-dependent coupling strengths, exhibits localization and Poissonian spectral statistics in the regime where the coupling parameter is significantly smaller than the conjectured critical value of .
This paper introduces an explicit "inverse coordinate Bethe Ansatz" transformation to diagonalize the Heisenberg-Ising XXZ spin-1/2 chain Hamiltonian, proving its validity for specific cases and conjecturing its general truth to derive an exact formula for the system's one-point function and confirm the completeness of the Bethe Ansatz.
This paper deduces the mathematical formalism of quantum mechanics solely from phenomenological multi-time probability distributions of sequential measurements, revealing a novel non-standard formulation that, while empirically equivalent to the standard Hilbert space approach, offers a fresh conceptual perspective for addressing long-standing foundational issues.
This paper presents a stable and efficient overlapping domain decomposition method for variable-coefficient elliptic problems that utilizes smooth-kernel solution-transfer operators to form a Fredholm second-kind global system, enabling hierarchical low-rank compression and uniform convergence independent of local resolution.