2656 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 a Large Deviation Principle and derives exact closed-form limit shapes for -weighted Muttalib--Borodin ensembles of plane partitions by solving a novel constrained Riemann--Hilbert problem, thereby characterizing a macroscopic phase transition, an arctic curve, and a non-universal hard-edge exponent.
This paper presents a mathematical model of an adsorption column that utilizes travelling-wave analysis and singular perturbation theory to rigorously justify a reduced slow-fast system, demonstrating that the resulting concentration profile transitions from downstream cleanliness to upstream saturation and remains robust even for moderate inverse Péclet numbers.
This paper establishes a rigorous theoretical foundation for efficiently approximating the Quantum Fisher Information Matrix (QFIM) in high-dimensional settings by demonstrating that its classical counterpart, averaged over a few random measurement bases, converges rapidly to the QFIM with provable concentration bounds, thereby enabling cost-effective quantum natural gradient methods.
This paper demonstrates that near-inertial Pollard waves modeling the Arctic Ocean's halocline become linearly unstable when their steepness exceeds a specific threshold, a condition determined by the water column's physical properties through a short-wavelength instability analysis.
This paper constructs a unitarily invariant Hermitian matrix ensemble that realizes the eigenvalue statistics of non-intersecting Brownian bridges with arbitrary endpoint multiplicities, enabling the derivation of exact finite- results, a reduction to a single HCIZ integral, and a comparison of angular statistics with spectrally equivalent Gaussian external-field ensembles.
This paper utilizes the algebraic framework of Symmetry Topological Field Theories (SymTFTs) to generalize quantum dimensions for pseudo-Hermitian systems, thereby providing a systematic classification of their renormalization group flows, quantum phase transitions, and associated domain wall problems through established mathematical principles.
This paper explains the Aharonov-Bohm effect by demonstrating that the confined magnetic field creates a topological puncture in the particle's configuration space, causing the observed phase shift as a consequence of the modified topology rather than direct nonlocal interaction.
This paper establishes that for trigonometric-polynomial potentials with irrational frequencies, every type I energy with a positive Lyapunov exponent satisfying the gap-labelling condition forms the boundary of an open spectral gap, thereby proving the robustness of the "all spectral gaps are open" property for the supercritical almost-Mathieu operator under small perturbations through a novel geometric approach involving monotonicity and global symplectification.
This paper establishes a unified continuum framework linking chiral liquid crystals and chiral magnets to characterize cholesteric fingers (CF-1 and CF-2) as composite meron-based topological solitons, detailing their structural evolution, repulsive or attractive interactions, and thickness-dependent stability under varying anchoring and background conditions.
This paper introduces a novel quantum relative-alpha-entropy that extends Umegaki's relative entropy beyond the traditional f-divergence framework, revealing a fundamentally geometric notion of quantum distinguishability characterized by nonlinear convexity, additivity, and an exact correspondence with classical relative-alpha-entropy via Nussbaum-Szkola distributions.