3210 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 proposes a novel state preparation and channel universality framework for open quantum systems that avoids exponentially large groups by utilizing a small Lie group in an extended qubit space, combined with environmental interactions and partial traces, to efficiently approximate any quantum state or channel.
This paper establishes a computational phase diagram for the transverse field Ising model by proving that approximating the partition function and Gibbs state observables is efficiently solvable by randomized classical algorithms when the spectral width of the interaction matrix satisfies a specific bound relative to the transverse field and temperature, while becoming NP-hard beyond this threshold.
This paper argues that Wasserstein gradient flows and forward-only diffusion processes fundamentally fail to efficiently sample multimodal distributions because their purely local, gradient-driven dynamics inherit the same metastability and exponentially long mixing times as traditional diffusion, regardless of theoretical convergence guarantees or annealing schedules.
This paper proves that while electromagnetic duality acts as an order-two transformation on the anyon types of the toric code, it cannot be realized microscopically as an order-two locality-preserving Clifford operation for even (including the standard case), though such a realization is possible for odd .
This paper proves a conjecture by Bernstein and the author regarding the non-existence of odd-parameter deformations for most simple finite-dimensional complex Lie superalgebras, while also demonstrating the existence of non-split supermanifolds of superdimension over bases with odd parameters, contrary to previous beliefs based on even obstructions.
This paper establishes the local well-posedness of one-dimensional pressureless Euler--Poisson equations under a necessary neutrality condition and characterizes the resulting critical threshold phenomena for both attractive and repulsive systems, including applications to damped cold plasma ion dynamics.
This paper characterizes the landscape of frustration-free quantum spin models on finitely generated groups by establishing -equivariant morphisms to specific C*-algebraic structures, thereby providing an intrinsic framework to extend frustration-freeness to generic AF-C*-algebras and derive optimal characterizations of their ground states.
This report reviews the development of Carrollian physics as a zero-speed-of-light limit of Poincaré symmetry, arguing that Carrollian field theories naturally describe the geometry of null hypersurfaces and provide a holographic dual to asymptotically flat gravity, where the flat-space S-matrix is reinterpreted as correlators in a boundary Carrollian CFT derived from the AdS/CFT limit.
This paper demonstrates that the representations of algebras provided by para-Krawtchouk, para-Racah, -para-Racah, and para-Bannai--Ito polynomials are reducible, decomposing into a direct sum of two irreducible modules associated with interlaced sub-lattices, thereby unifying the understanding of these para families and explaining their spectral pairing properties.
This paper formally derives a coupled Enskog system for gas-particle mixtures from the hard-sphere BBGKY hierarchy, accounting for finite collision separations and inter-species interactions to provide a kinetic framework for two-phase flows where volume effects are significant, while also establishing corresponding balance laws and an entropy inequality.