Vanishing of the Bare Coupling in Four Dimensions
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hep-th
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barecouplingrestructuringsableall-ordersconstantdemonstratedimension-4
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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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