Renormalization of non-abelian gauge theories in curved space-time |
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Authors: | MD Freeman |
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Institution: | Department of Applied Mathematies and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW UK |
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Abstract: | We use indirect, renormalization group arguments to calculate the gravitational counterterms needed to renormalize an interacting non-abelian gauge theory in curved space-time. This method makes it straightforward to calculate terms in the trace anomaly which first appear at high order in the coupling constant, some of which would need a 4-loop calculation to find directly. The role of gauge invariance in the theory is considered, and we discuss briefly the effect of using coordinate-dependent gauge-fixing terms. We conclude by suggesting possible applications of this work to models of the very early universe. |
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