2656 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 generalizes the explicit construction of orbifold states in products of minimal models to include D and E-type modular invariants, demonstrating that spectral flow twisting is consistent with nondiagonal pairings and that the resulting mirror isomorphism between dual group orbifolds is inherently built into the construction, as illustrated by the model.
This paper reinterprets the Hamilton-Jacobi equation as a model reduction that eliminates velocity degrees of freedom, thereby extending its applicability to general Newtonian systems with non-conservative forces and deriving a dissipative Schrödinger equation through a geometric optics approximation.
This paper demonstrates that for random matrices with standard complex Gaussian entries, the zeros of the permanent polynomial are confined to a disk of radius , thereby enabling efficient approximation algorithms for the permanent with polynomially small biases while simultaneously proving that the bulk of these zeros lie at magnitude to preserve the conjectured average-case hardness of the problem.
This paper demonstrates that hierarchical symmetry serves as a necessary and sufficient condition to uniquely select log-Poisson cascades from the broader log-infinitely-divisible family, while also establishing their classification and stability under approximate symmetry.
This paper introduces and analyzes a continuous one-parameter family of elliptic sine-Gordon equations characterized by the modulus of Jacobi elliptic functions, which interpolates between the integrable sine-Gordon and sine-hyperbolic-Gordon equations in the limits of zero and one, respectively, and derives their kink solutions for various modulus values.
This paper establishes a natural isomorphism between toral Chern-Simons theory with gauge group and the Reshetikhin-Turaev theory associated with the pointed modular category of the discriminant group of an even, integral, nondegenerate symmetric bilinear form, proving their equivalence as extended -dimensional TQFTs for both closed 3-manifolds and bordisms with boundary.
This paper provides a rigorous construction of the functional integral for Abelian Chern-Simons theory with a toral gauge group on both closed and boundary-equipped 3-manifolds using exact zeta-regularized Gaussian evaluation, thereby establishing it as a valid -dimensional Topological Quantum Field Theory.
This paper demonstrates that ultrathin antisymmetric ferromagnetic bilayers can synergistically combine Dzyaloshinskii-Moriya and dipolar interactions to achieve optimal stability for zero-field skyrmions with 10 nm radii, offering a viable pathway for information technology applications.
This paper investigates the semiclassical regularity of low-temperature Fermi gas thermal equilibria in harmonic and magnetic fields by deriving asymptotic estimates for the Schatten norms of commutators between one-body operators and position/momentum operators, thereby revealing distinct regimes governed by the interplay of the Planck constant, temperature, and magnetic field strength.
This paper investigates the intermittency of the Critical 2d Stochastic Heat Flow by determining that the ratio of the -th moment of the mass assigned to shrinking balls of radius to their Lebesgue volume scales asymptotically as .