English

Operator product expansion coefficients in the exact renormalization group formalism

High Energy Physics - Theory 2020-05-20 v2

Abstract

We study how to compute the operator product expansion coefficients in the exact renormalization group formalism. After discussing possible strategies, we consider some examples explicitly, within the ϵ\epsilon-expansions, for the Wilson-Fisher fixed points of the real scalar theory in d=4ϵd=4-\epsilon dimensions and the Lee-Yang model in d=6ϵd=6-\epsilon dimensions. Finally we discuss how our formalism may be extended beyond perturbation theory.

Keywords

Cite

@article{arxiv.2001.07015,
  title  = {Operator product expansion coefficients in the exact renormalization group formalism},
  author = {C. Pagani and H. Sonoda},
  journal= {arXiv preprint arXiv:2001.07015},
  year   = {2020}
}

Comments

38 pages, 1 figure

R2 v1 2026-06-23T13:15:26.237Z