1647 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 introduces "variational openness" as a conservative extension of classical variational principles that unifies bulk and boundary stationarity by requiring the cancellation of total first variation rather than separate contributions, thereby enabling the analysis of regulated systems where bulk and boundary displacements are linked through compatibility operators and revealing critical thresholds for stability loss via a projected Rayleigh–Ritz criterion.
This paper introduces the weighted spectral fidelity, a one-parameter family of quantum state distinguishability measures based on the weighted spectral geometric mean that interpolates between trivial overlap and Uhlmann fidelity, and characterizes its structural properties, explicit violations of the data processing inequality for non-midpoint parameters, and partial extensions of the Fuchs–van de Graaf inequalities.
This paper introduces a variational minimax method that directly identifies maximal saddle-node bifurcations in abstract nonlinear equations as extremal values of an extended Rayleigh quotient, providing a unified framework for their detection, characterization, and approximation even in non-variational systems.
This paper rigorously proves that in the Edwards-Anderson spin glass model's two-replica Chayes-Machta-Redner representation, the blue subgraph contains at most two infinite connected components, thereby establishing a structural upper bound consistent with the theoretical two-cluster picture of spin-glass order despite the failure of standard percolation arguments.
This paper introduces a residual transform for ordered discrete POVMs that, through sequential testing, generates a collapsed POVM with mutually orthogonal non-escape coordinates, thereby establishing an equivalence relation where distinct ordered realizations with different off-diagonal couplings can yield the same collapsed image.
This paper introduces and investigates transposed Poisson conformal superalgebras and their noncommutative variants by establishing their fundamental properties, exploring relationships with Hom-Lie conformal superalgebras, presenting various construction methods, and classifying all compatible structures on Lie conformal superalgebras of rank (1+1).
This paper establishes a unified framework for understanding the persistence of Yangian symmetry in deformed integrable sigma models by generalizing the BIZZ recursive procedure to systematically generate non-local charges and demonstrate their Yangian algebra structure across a broad class of auxiliary field deformations.
This paper establishes that the braided -tensor category of representations of any conformal net is canonically balanced, with the balance structure defined by the action of .
This paper extends an explicit, energy-conserving particle-in-cell scheme to relativistic plasmas by solving a local optimization problem that enforces exact energy conservation, demonstrating its compatibility with standard field solvers and superior performance on relativistic test problems despite rare instances of non-real solutions.
This paper critically examines the necessity of complete positivity in open quantum dynamics, demonstrating through the analysis of isotropic states that restricting non-completely positive maps to compatible initial states becomes increasingly impractical as system dimension grows, thereby exposing a fundamental weakness in this approach.