Quantum Gravity with Boundaries near Two Dimensions

Details Quantum Gravity with Boundaries near Two Dimensions Quantum Gravity with Boundaries near Two Dimensions

1995-04-14

arxiv.org/abs/hep-th/9504075v1

Mod.Phys.Lett.A10:1351-1364,1995

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1142/S0217732395001472

We evaluate the quantum corrections of the Einstein-Hilbert action with boundaries in the $2+\epsilon$ dimensional expansion approach. We find the Einstein-Hilbert action with boundaries to be renormalizable to the one loop order. We compute the geometric entropy beyond the semiclassical approximation. It is found that the exact geometric entropy is related to the string succeptibility by the analytic continuation in the central charge. Our results also show that we can renormalize the divergent quantum corrections for the Bekenstein-Hawking entropy of blackholes by the gravitational coupling constant renormalization beyond two dimensions.

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