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arXiv · 2111.15554

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

Gerald V. Dunne·Max Meynig
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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.

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Gerald V. Dunne, Max Meynig. 2021-11-30. Instantons or Renormalons? A Comment on phi4_4 Theory in the MS Scheme. https://doi.org/10.1103/physrevd.105.025019

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