Vanishing of the Bare Coupling in Four Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, no figures; added references

Scientific paper

10.1142/S0217751X03014204

We examine two restructurings of the series relationship between the bare and
renormalized coupling constant in dimensional regularization. In one of these
restructurings, we are able to demonstrate via all-orders summation of leading
and successive epsilon = 0 (dimensionality = 4) poles that the bare coupling
vanishes in the dimension-4 limit.

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