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

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

1996-12-03

arxiv.org/abs/hep-th/9612035v1

Phys.Lett. B408 (1997) 403-416

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex, 3 Postscript figures

Scientific paper

10.1016/S0370-2693(97)00786-7

We study the properties of ultraviolet renormalons in the vectorial $(\vec{\phi}^{2})^{2}$ 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.

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