arXiv:2606. 27481v1 Announce Type: cross Abstract: We present a first study of a diffusion-based approach to accelerated sampling of the $N_f = 2$ lattice Schwinger model.
By Octavio Vega, Aida X. El-Khadra
The paper presents a method for sampling SU(N) gauge theory on a two‑dimensional lattice by independently generating plaquette holonomies and then reweighting configurations to satisfy consistency at lattice corners. By reformulating the Wilson action in terms of holonomy variables, the authors reduce the problem to sampling pairs of SU(N) matrices conditioned on their commutator, for which they derive closed‑form densities for SU(2) and SU(3). They demonstrate high per‑plaquette acceptance rates (>99%) and moderate effective sample sizes on both small (2×2) and large (32×32) lattices using normalizing flows and closed‑form samplers.
By Javad Komijani
arXiv:2603. 02984v2 Announce Type: replace-cross Abstract: Normalizing flows can be used to construct unbiased, reduced-variance estimators for lattice field theory observables that are defined by a derivative with respect to action parameters.
By Ryan Abbott, Denis Boyda, Yang Fu, Daniel C. Hackett, Gurtej Kanwar, Fernando Romero-L\'opez, Phiala E. Shanahan, Julian M. Urban
In the Wilson formulation of lattice gauge theory, the fundamental degrees of freedom are group-valued link variables, while the action is a sum over the trace of the plaquettes, the smallest Wilson l...
arXiv:2606. 15986v1 Announce Type: cross Abstract: The generating functional in quantum field theory provides the natural framework for constructing correlation functions as derivatives with respect to source operators.
By Ryan Abbott, Yang Fu, Daniel C. Hackett, Gurtej Kanwar, Fernando Romero-L\'opez, Phiala E. Shanahan
arXiv:2606. 30773v1 Announce Type: cross Abstract: We introduce a novel technique for scalable sampling of spin-system states with continuous symmetries using diffusion models.
By Sehmimul Hoque, Roger Melko, Pooya Ronagh