Yang-Mills vacuum structure and quantum gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 8 pages

Scientific paper

10.1142/S021773239600179X

Using renormalization group methods we calculate the derivative expansion of the effective Lagrangian for a covariantly constant gauge field in curved spacetime. Curvature affects the vacuum, in particular it could induce phase transitions between different vacua. We also consider the effect of quantum fluctuations of the metric , in the context of a renormalizable $R^2$ theory. In this case the critical curvature depends on the gravi tational coupling constants.

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