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

Gerald V. Dunne; Max Meynig

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

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arxiv 2111.15554 v2 pith:BNVLSZZT submitted 2021-11-30 hep-th hep-ph

Gerald V. Dunne , Max Meynig This is my paper · ORCID

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keywords renormalizationrenormalonscommentfunctionsgroupinstantonsschemetheory

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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.

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