Modified gravity one-loop partition function

Abstract

The one-loop partition function of the $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity theory is obtained around AdS${}_4$ background. After suitable choice of the gauge condition and computation of the ghost determinant, we obtain the one-loop partition function of the theory. The traced heat kernel over the thermal quotient of AdS${}_4$ space is also computed and the thermal partition function is obtained for this theory. We have then consider quantum corrections to the thermodynamical quantities in some special cases.

arXiv comment16 pages

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Cited by in corpus (2)

• Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach
• Stability of the de-Sitter universe: One-loop nonlocal $f(R)$ gravity