Vanishing of the Bare Coupling in Four Dimensions
نویسنده
چکیده
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 ǫ = 0 (dimensionality = 4) poles that the bare coupling vanishes in the dimension-4 limit. Electronic address: [email protected] Electronic address: [email protected] 1 In the context of dimensional regularization [1] with minimal subtraction, the bare (gB) and renormalized (g) coupling constants are related by a series of the form [2, 3] gB = μ g [ 1 + a1,1g /ǫ+ a2,1g /ǫ+ a2,2g /ǫ + a3,1g /ǫ+ a3,2g /ǫ + a3,3g /ǫ + . . . ]
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