This article is cited in 2 papers

Renormalization equations in gravitational theory with higher derivatives

K. A. Kazakov, P. I. Pronin

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

Abstract: The structure of renormalization equations in gravitational theories with higher derivatives is considered. The gauge dependence of invariant divergences of the effective action is found to be nontrivial. The external source technique is used to construct a consistent Green's function renormalization. One- and two-loop divergences of the effective action are explicitly calculated for an arbitrary parametrization and gauge. These calculations fit the general structure of the obtained renormalization equations.

Received: 12.04.1999

DOI: 10.4213/tmf818

 English version: Theoretical and Mathematical Physics, 1999, 121:3, 1585–1605

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