Higher covariant derivative regulators and non multiplicative renormalization

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The renormalization algorithm based on regularization methods with two regulators is analyzed by means of explicit computations. We show in particular that regularization by higher covariant derivative terms can be complemented with dimensional regularization to obtain a consistent renormalized 4-dimensional Yang-Mills theory at the one-loop level. This shows that hybrid regularization methods can be applied not only to finite theories, like e.g. Chem-Simons, but also to divergent theories.
© 1995 Elsevier Science B.V. F.R.R. was supported by FOM, The Netherlands. The authors also acknowledge partial support from CICyT, Spain.
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