Gauge dependence of effective action and renormalization group functions in effective gauge theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages Latex file, additional comments in section 4

Scientific paper

10.1103/PhysRevD.62.105010

The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly power counting non renormalizable gauge theories. It is shown that the physical coupling constants of the classical theory can be redefined by gauge parameter dependent contributions of higher orders in $\hbar$ in such a way that the effective action depends trivially on the gauge parameters, while suitably defined physical beta functions do not depend on those parameters.

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