This article is cited in 2 papers

One-loop counter-terms in theories regularized by higher covariant derivatives

P. I. Pronin, K. V. Stepanyantz

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: In an arbitrary field-theory model regularized by the higher covariant derivative method, expressions for one-loop logarithmic divergences are shown to be consistent with the dimensional regularization; the precise form of the regularization terms is irrelevant. Therefore, we explicitly check the self-consistency of the higher derivatives method on the one-loop level. The calculation for the Yang–Mills theory is given.

Received: 24.06.1997

DOI: 10.4213/tmf834

 English version: Theoretical and Mathematical Physics, 1998, 114:1, 109–117

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