2548 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 advances the theory of uniform functions on configuration spaces of large-scale interacting systems by establishing a base-state-independent framework and proving that global conserved quantities arising from exchangeable interactions can be decomposed into local conserved quantities, all without requiring assumptions of irreducibility or stationary distributions.
Using exact enumeration on the anisotropic square lattice Ising model with quenched surface disorder in cylinder geometry, the study demonstrates that while such disorder is irrelevant in two dimensions, it induces logarithmic corrections to the surface free energy and critical Casimir properties.
This paper presents a determinantal formula for the generating functions of endomorphisms induced by free fermions on symmetric functions, unifying classical results like the Jacobi-Trudy and Giambelli formulas while describing finite-type Boson-Fermion correspondence through the action of the Clifford algebra on the exterior algebra.
This paper utilizes algebraic quantum field theory to demonstrate that gauge constraints and gravitational dressing in gravitationally induced entanglement (GIE) proposals undermine strict subsystem independence and microcausality, thereby complicating the interpretation of entanglement witnesses while suggesting that bounding these dressing-induced violations could serve as a novel probe for the quantum nature of gravity.
This paper employs exact Bethe Ansatz and thermodynamic Bethe Ansatz methods to study a -symmetric non-Hermitian multichannel Kondo model, revealing four distinct impurity phases and demonstrating that while the Kondo phase obeys a generalized -theorem, the zero-mode and local-moment phases exhibit non-monotonic impurity entropy flow that violates RG irreversibility despite maintaining a real spectrum and CFT-consistent defect entropies.
This paper presents constructive proofs demonstrating that any stochastic matrix can be represented via a generalized Born rule using a POVM and PVM, and further shows that by dilating the vector space, any stochastic matrix can be derived from a unistochastic matrix, thereby establishing the primacy of unistochastic matrices in relation to quantum theory and Markov processes.
This paper generalizes the Wigner-Yang quantum mechanical framework on the real line to reveal a hidden supersymmetric structure where the reflection operator serves as the grading operator, demonstrating that non-interacting systems correspond to Witten's SUSY model and establishing a Hooke-Newton duality between harmonic and Coulomb-like potentials within this deformed Heisenberg algebra.
This paper proposes a phase field model derived from a single energy functional that unifies crack propagation and dislocation dynamics in single crystals, demonstrating that while dislocation emission shields cracks energetically, true material toughening fundamentally requires the incorporation of dissipative mechanisms to resist dislocation motion.
This paper proposes a two-stage reconstruction framework that leverages the finite rate of innovations property of sparse electromagnetic sources to enrich under-sampled multi-frequency far-field data via low-rank Hankel matrix completion, thereby enabling accurate and stable source recovery even with high sub-sampling rates and strong noise where standard methods fail.
This paper investigates the (2+1)-dimensional seventh-order Caudrey-Dodd-Gibbon-KP equation by deriving exact bright and anti-kink soliton solutions via the method and analyzing its complex dynamical behaviors, including chaos and bifurcation, through comprehensive phase portrait and stability analyses.