TWO-LOOP APPROACH TO THE EFFECTIVE ACTION IN QUANTUM GRAVITY

1992/06/10 by I. L. Buchbinder, I. L. BUCHBINDER, Sergei D. Odintsov +3 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories

paper · doi:10.1142/s0217751x92001435

Abstract

For the first time we present the general formalism and results of calculation of the two-loop effective action in Einstein quantum gravity on the background M N × T k , where M N is Minkowski space and T k is a k-dimensional torus. We discuss the case of a zero cosmological constant as well as of a nonzero one. The method of calculating variations of the action on a metric tensor and the technique of calculating momentum integrals in dimensional regularization are presented. Some applications to spontaneous compactification are discussed, as well as some prospects.

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