English

Scheme invariants in phi^4 theory in four dimensions

High Energy Physics - Theory 2018-10-03 v3

Abstract

We provide an analysis of the structure of renormalisation scheme invariants for the case of ϕ4\phi^4 theory, relevant in four dimensions. We give a complete discussion of the invariants up to four loops and include some partial results at five loops, showing that there are considerably more invariants than one might naively have expected. We also show that one-vertex reducible contributions may consistently be omitted in a well-defined class of schemes which of course includes MSbar.

Keywords

Cite

@article{arxiv.1806.08598,
  title  = {Scheme invariants in phi^4 theory in four dimensions},
  author = {I. Jack and C. Poole},
  journal= {arXiv preprint arXiv:1806.08598},
  year   = {2018}
}

Comments

Uses tikz; revised version with minor errors corrected

R2 v1 2026-06-23T02:38:18.277Z