1695 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 develops a comprehensive mathematical framework using resurgence, hyperasymptotics, and Picard-Lefschetz techniques to model wave optics lensing in astrophysics, providing convergent expansions and uniform asymptotics that accurately describe interference patterns and caustic behavior across all frequency regimes.
This paper derives an explicit formula for the normal-ordered equivalent of the Weyl-ordered operator by expressing it in terms of creation and annihilation operators.
This paper provides a rigorous mathematical justification for the grand canonical formalism in statistical physics by deriving the effective Hamiltonian from first principles, proving its uniqueness under specific physical assumptions, and establishing the isomorphism between the Hilbert space of varying particle number systems and Fock space.
This paper extends previous research on two-dimensional Coulomb gases to the case of multiple outposts, proving that the joint distribution of particle counts near these geometrically disconnected regions converges to a multidimensional Heine distribution and exhibits strong long-range correlations.
This paper establishes a systematic method for generating higher levels of the qubit Clifford hierarchy through controlled Clifford operations by defining Pauli periodicity, proving a sharp rule that a controlled gate $CU$ resides in level when is a Pauli operator, and demonstrating that while accessing high hierarchy levels requires exponentially growing target qubits, explicit infinite families of Pauli-periodic Cliffords can achieve asymptotically optimal jumps to enable logical phase gates via catalyst states.
This paper investigates intrinsically flat spacetimes as viable cosmological models for periodic inhomogeneous matter distributions, establishing their geometric foundations, proving the existence and uniqueness of solutions to Einstein's equations under periodic boundary conditions, and presenting exact solutions that transition from early-time homogeneity to late-time structures of peaks and voids.
This paper extends holographic methods for Boundary Conformal Field Theories with multiple boundaries to calculate the time-dependent entanglement entropy of 1+1-dimensional CFTs undergoing multi-splitting quenches, demonstrating that all qualitative features of larger systems are already captured by the case.
The paper proves a new identity for Feynman periods acting on five-vertex cuts of completed primitive Feynman graphs in theory, demonstrating that it is independent of existing identities such as the twist, Fourier, and Fourier split.
This paper investigates the quantification of measurement-based quantum resources by developing distance-based measures and analyzing the mathematical properties and operational connections of -measures, providing a robust framework applicable to both individual and sets of measurements in scenarios with partial information.
This paper demonstrates that the stability of local observables in long-range quantum systems at thermal equilibrium is guaranteed by correlation decay and Lieb-Robinson bounds at high temperatures, with numerical evidence suggesting this robustness extends to broader interaction regimes, thereby supporting the reliability of analog quantum simulators.