English

Higher derivative extension of the functional renormalization group

High Energy Physics - Theory 2022-07-15 v2

Abstract

We study higher derivative extension of the functional renormalization group (FRG). We consider FRG equations for a scalar field that consist of terms with higher functional derivatives of the effective action and arbitrary cutoff functions. We show that the epsilon expansion around the Wilson-Fisher fixed point is indeed reproduced by the local potential approximation of the FRG equations.

Keywords

Cite

@article{arxiv.2203.07009,
  title  = {Higher derivative extension of the functional renormalization group},
  author = {Gota Tanaka and Asato Tsuchiya},
  journal= {arXiv preprint arXiv:2203.07009},
  year   = {2022}
}

Comments

15 pages, published version

R2 v1 2026-06-24T10:12:11.805Z