Renormalons in the effective potential of the vectorial $({\vec{\phi }}^2{)}^2$ model

Abstract

We study the properties of ultraviolet renormalons in the vectorial $({\vec{\varphi }}^2{)}^2$ model. This is achieved by studying the effective potential of the theory at next to leading order of the $1/N$ expansion, the appearence ofthe renormalons in the perturbative series and their relation to the imaginary part of the potential. We also consider the mechanism of renormalon cancellation by `irrelevant" higher dimensional operators.

arXiv comment20 pages, Latex, 3 Postscript figures

Cited by in corpus (1)

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