English

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 d=3d=3, while also reproducing those from the ε\varepsilon-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 O(N)O(N) 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.

Keywords

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

R2 v1 2026-07-01T12:40:20.815Z