2670 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 introduces the quantum bootstrap product (QBP) paradigm, which generalizes standard homological product constructions by solving a "bootstrap equation" to generate "fork complexes," thereby unifying diverse codes like hypergraph and fracton codes while enabling the creation of self-correcting quantum memories that surpass existing rate and energy barrier limitations.
This paper solves the spin quantum Hall transition on random networks by mapping it to classical percolation and utilizing two-dimensional quantum gravity tools to derive exact critical exponents that satisfy the KPZ relation, thereby confirming the relevance of geometric randomness and supporting numerical simulations of the integer quantum Hall transition.
This paper establishes that for quantum lattice systems with multipole symmetries, higher-order symmetries protect against the breaking of lower-order ones, thereby increasing the critical dimension required for symmetry breaking (e.g., raising it to in the presence of dipole symmetry).
This paper introduces a new causal spinfoam vertex for 4d Lorentzian quantum gravity that utilizes Toller matrices to encode causal data, demonstrating that in the large-spin limit, this formulation selects only Lorentzian Regge geometries with compatible causal structures, yielding a single Regge action exponential and establishing a new form of causal rigidity.
This paper demonstrates that the Metaplectic Anomaly and the resulting zero-point energy of the harmonic oscillator arise as a necessary geometric consequence of factorizing symplectic half-densities within the "Geometric Quantization by Paths" framework, thereby naturally integrating standard quantization techniques into an intrinsic observable algebra.
This paper generalizes a one-dimensional construction by Kurasov and Sarnak to arbitrary dimensions by utilizing complex algebraic varieties derived from Lee-Yang polynomials to create higher-dimensional Fourier quasicrystals with unit masses that are Delone almost periodic sets having finite intersections with discrete periodic sets.
This paper presents a novel, computer-implementable theory that axiomatically generalizes anyon statistics to Abelian topological excitations of any dimension using basic algebra and many-body quantum mechanics, yielding results consistent with existing physical theories.
This paper revisits the quantization of gauge field theories by proposing a "sandwich quantization scheme" where constraints are imposed as vanishing matrix elements between physical states, revealing new solutions and offering fresh insights into the physical Hilbert space of gauged systems.
This paper presents results on the mean and higher moments of immanants of submatrices from Haar-distributed unitary matrix ensembles, based on a talk given by Trevor Welsh at ISQS29 in Prague in July 2025.
This paper employs -algebraic methods and the principle of augmentation to establish correspondences between bulk spectral invariants and edge spectral flows in one-dimensional aperiodic tight-binding models, offering new interpretations of gap labelling and boundary forces through mapping torus and cut-and-project constructions.