Functional Dimensional Regularization for O(N) Models
High Energy Physics - Theory
2026-04-30 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
The novel functional dimensional regularization (FDR) scheme has proven capable of yielding results that are competitive with the state-of-the-art in the computation of critical exponents in , while also reproducing those from the -expansion for the Ising and other universality classes. In this work, we show that this is not a mere coincidence: by applying the scheme to the universality class, we explicitly derive the flow equations and obtain critical exponents that are comparable to those obtained with higher-order non-perturbative approaches. In this case, FDR retains the features already highlighted in previous works -- namely, its efficiency and rapid convergence.
Cite
@article{arxiv.2604.26207,
title = {Functional Dimensional Regularization for O(N) Models},
author = {P. Beretta and A. Codello},
journal= {arXiv preprint arXiv:2604.26207},
year = {2026}
}
Comments
6 pages, 3 figures, 1 table