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Modified gravity one-loop partition function
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DOI：10.1140/epjc/s10052-018-6318-7.png)
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Abstract
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The one-loop partition function of the f (R, R mu vR mu v) gravity theory is obtained around AdS(4) background. After a 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 the AdS(4) space is also computed and the thermal partition function is obtained for this theory. We then consider quantum corrections to the thermodynamical quantities in some special cases.
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