Geodesic
Renormalization equations in gravitational theory with higher derivatives
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 387-411

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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. 
@article{TMF_1999_121_3_a3,
     author = {K. A. Kazakov and P. I. Pronin},
     title = {Renormalization equations in gravitational theory with higher derivatives},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {387--411},
     publisher = {mathdoc},
     volume = {121},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a3/}
}
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K. A. Kazakov; P. I. Pronin. Renormalization equations in gravitational theory with higher derivatives. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 387-411. http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a3/