Instantons or Renormalons? A Comment on phi4_4 Theory in the MS Scheme

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.

Comments: 12 pages; 7 figures; v2: typos corrected, published version in PRD