Instantons or Renormalons? A Comment on phi4_4 Theory in the MS Scheme
High Energy Physics - Theory
2023-05-18 v2 High Energy Physics - Phenomenology
Abstract
We comment that the recent exact six-loop and seven-loop computations of renormalization group functions for the O(N)-symmetric four dimensional phi^4 quantum field theory show hints that the associated large order behavior is dominated by instantons rather than renormalons. This is consistent with a long-standing conjecture that renormalization group functions in the minimal subtraction (MS) renormalization scheme are not sensitive to renormalons.
Cite
@article{arxiv.2111.15554,
title = {Instantons or Renormalons? A Comment on phi4_4 Theory in the MS Scheme},
author = {Gerald V. Dunne and Max Meynig},
journal= {arXiv preprint arXiv:2111.15554},
year = {2023}
}
Comments
12 pages; 7 figures; v2: typos corrected, published version in PRD