We compute the one-loop divergences in a theory of gravity with a Lagrangian of the general form f(R,RμνRμν), on an Einstein background. We also establish that the one-loop effective action is invariant under a duality that consists of changing certain parameters in the relation between the metric and the quantum fluctuation field. Finally, we discuss the unimodular version of such a theory and establish its equivalence at one-loop order with the general case.
F (R, Rμν2) at one loop / Ohta, N.; Percacci, R.; Pereira, A. D.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 97:10(2018), pp. 1-9. [10.1103/PhysRevD.97.104039]
F (R, Rμν2) at one loop
Ohta, N.;Percacci, R.;
2018-01-01
Abstract
We compute the one-loop divergences in a theory of gravity with a Lagrangian of the general form f(R,RμνRμν), on an Einstein background. We also establish that the one-loop effective action is invariant under a duality that consists of changing certain parameters in the relation between the metric and the quantum fluctuation field. Finally, we discuss the unimodular version of such a theory and establish its equivalence at one-loop order with the general case.File in questo prodotto:
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