3210 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 investigates graph transformations and their effects on the eigenvectors of the adjacency, Laplacian, and signless Laplacian matrices, extending known principles to new contexts, characterizing graphs with common eigenvectors, and analyzing bivalent graphs for trees.
This paper provides a complete characterization of bounded and unbounded quantum Dirichlet forms associated with KMS-symmetric quantum Markov semigroups in terms of derivations, leveraging the insight that the modular group restricts to a strongly continuous group on the form's domain with an accretive square root of its analytic generator.
This paper rigorously demonstrates that neither a finite set of substitution-multiplicative dimensions nor commensurate renormalization scales are sufficient to determine universality classes for Bernoulli percolation on hierarchical lattices generated by edge iterated graph systems.
This paper presents a detailed analysis of quarter BPS bubbling geometries with AdS asymptotics by deriving generalized Laplace-type equations, exploring boundary conditions via a stretched technique that incorporates grey droplets for solutions like the superstar, and investigating the coarse-graining of configurations and their symplectic forms.
This paper constructs a two-sided infinite self-avoiding walk in dimensions to prove pattern theorems and establish the existence of infinite SAWs via ergodicity and coupling techniques, achieving these results without relying on the lace expansion.
Using a high-accuracy numerical strategy, this paper reports the discovery of 10,059 previously unknown three-dimensional periodic orbits in the general three-body problem, including 1,996 linearly stable ones and novel "piano-trio" and "choerographical" configurations, which significantly advance the understanding of the system's chaotic properties.
This paper establishes an explicit correspondence between the isomonodromic construction and the minimal models reduction of the KP hierarchy for the Painlevé I hierarchy, yielding new expressions for their Lax matrices and Hamiltonians.
This paper establishes that Scrooge ensembles, which represent maximally entropic distributions of pure states under physical constraints, universally emerge in quantum many-body systems through chaotic dynamics and measurements, introducing the concept of Scrooge -designs to demonstrate that these information-stingy ensembles can be efficiently generated with resources scaling only with the desired approximation degree.
This paper constructs a quantum Schwinger-Keldysh effective field theory for diffusive hydrodynamics that enforces fluctuation-dissipation relations via KMS symmetry to reveal intrinsically non-Gaussian noise, ultimately deriving one-loop quantum corrections that generalize hydrodynamic long-time tails to arbitrarily high orders in .
This paper demonstrates through both -particle simulations and analytic methods that a Vlasov gas in an integrable, axisymmetric potential with a quadrupolar component relaxes from an initial homogeneous state to an inhomogeneous configuration with overdensities at the potential wells via phase space mixing, serving as a Newtonian analogue to particle motion in Kerr spacetime.