Vacuum States for AdS_2 Black Holes

Details Vacuum States for AdS_2 Black Holes Vacuum States for AdS_2 Black Holes

1999-04-21

arxiv.org/abs/hep-th/9904143v2

JHEP 9911:021,1999

Physics

High Energy Physics

High Energy Physics - Theory

(31 pages, 6 figures, harvmac)

Scientific paper

10.1088/1126-6708/1999/11/021

An AdS_2 black hole spacetime is an AdS_2 spacetime together with a preferred choice of time. The Boulware, Hartle-Hawking and SL(2,R) invariant vacua are constructed, together with their Green functions and stress tensors, for both massive and massless scalars in an AdS_2 black hole. The classical Bekenstein-Hawking entropy is found to be independent of the temperature, but at one loop a non-zero entanglement entropy arises. This represents a logarithmic violation of finite-temperature decoupling for AdS_2 black holes which arise in the near-horizon limit of an asymptotically flat black hole. Correlation functions of the SL(2,R) invariant boundary quantum mechanics are computed as functions of the choice of AdS_2 vacuum.

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