Geodesic
Renormalization group equations and effective action in curved space-time
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 1, pp. 58-67

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Basing on the renormalization group equations we obtain the one-loop effective action for an arbitrary quantum field theory in curved space-time with the accuracy up to the second derivatives of scalar fields and terms including four derivatives of the metric. 
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     author = {I. L. Buchbinder and Yu. Yu. Vol'fengaut},
     title = {Renormalization group equations and effective action in curved space-time},
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I. L. Buchbinder; Yu. Yu. Vol'fengaut. Renormalization group equations and effective action in curved space-time. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 1, pp. 58-67. http://geodesic.mathdoc.fr/item/TMF_1987_72_1_a5/