3366 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 the existence of global generalized solutions for damped driven Jaynes-Cummings equations with time-dependent, polynomial damping and pumping by utilizing finite-dimensional approximations of creation and annihilation operators within the framework of completely positive and trace-preserving generators.
This paper proposes that the prevalence of triangles in competitive networks arises naturally from the requirement of dynamic stability in Lotka-Volterra systems, demonstrating that networks supporting stronger competitive interactions exhibit higher clustering coefficients and that real-world plant networks show this stabilizing structural signature.
The paper demonstrates that a sufficiently strong boundary interaction defect in a semi-infinite Heisenberg spin-1/2 chain or equivalent SU(2)-symmetric quantum circuit supports a conserved, quasi-localized edge mode that sustains non-decaying boundary correlations and a nonzero Drude weight, while a critical interaction strength marks a transition to ergodic boundary dynamics.
This paper establishes a transport-entropy framework for Gaussian concentration on infinite lattice systems, proving that while the associated transportation costs lack metric extensivity, the integral probability metric and coupling functional coincide in finite volumes to extend the Kantorovich-Rubinstein theorem and characterize concentration via Marton's inequality, ultimately converging to the -metric in the thermodynamic limit.
This paper constructs and analyzes the stability of single-frequency asymptotic solutions for damped driven Maxwell-Bloch equations under quasiperiodic pumping by utilizing Hopf reduction and averaging theory to describe laser action in a semiclassical framework.
This paper proves the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on lattice graphs for , thereby extending previous results from finite graphs to infinite lattice structures.
This paper establishes two-term spectral asymptotics for the linear elasticity operator with mixed boundary conditions on smooth compact Riemannian manifolds of arbitrary dimension, validating the general formulae through explicit analytical and numerical examples in two and three dimensions.
This paper proposes a unified framework for extended chiral and bulk conformal field theories and their corresponding topological orders by explicitly constructing a "bulk semion" subalgebra that elucidates the correspondence between fusion rules, generalized symmetries, and topological holography, thereby offering a method to derive topological order data directly from bulk CFTs.
This paper investigates the null-controllability cost of the one-dimensional Burgers' equation linearized at a stationary shock in the vanishing viscosity limit, establishing bounds on the required control time and constructing explicit admissible controls using complex analysis methods.
This paper demonstrates that recurrent networks with low-rank connectivity structures can exhibit high-dimensional dynamics when driven by external inputs, a phenomenon termed "low-rank suppression" where activity is suppressed along the network's intrinsic low-dimensional axes.