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.

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

References in corpus (2)

• The five-loop beta function of Yang-Mills theory with fermions
• Self-Dualities and Renormalization Dependence of the Phase Diagram in 3d $O(N)$ Vector Models

Cited by in corpus (8)

• Tropical Feynman integration in the Minkowski regime
• Resonant resurgent asymptotics from quantum field theory
• Recursive computation of Feynman periods
• The analytic structure of the fixed charge expansion
• Resurgence and self-completion in renormalized gauge theories
• Search for an Ultraviolet Zero in the Seven-Loop Beta Function of the $\lambda {\varphi }_4^4$ Theory
• Feynman integrals at large loop order and the $\log$-$\Gamma$ distribution
• Tropicalized quantum field theory and global tropical sampling