Renormalon's Contribution to Effective Couplings

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, 3 figures, PHYZZX

Scientific paper

10.1142/S0217732398002710

When an asymptotically non-free theory possesses a mass parameter, the ultraviolet (UV) renormalon gives rise to non-perturbative contributions to dimension-four operators and dimensionless couplings, thus has a similar effect as the instanton. We illustrate this phenomenon in O(N) symmetric massive $\lambda\phi^4$ model in the $1/N$ expansion. This effect of UV renormalon is briefly compared with non-perturbative corrections in the magnetic picture of the Seiberg-Witten theory.

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