Anti-de Sitter space at finite temperature

Allen, Bruce; Folacci, Antoine; Gibbons, G. W.

doi:10.1016/0370-2693(87)91437-7

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Anti-de Sitter space at finite temperature

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Allen, Bruce
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Citation

Allen, B., Folacci, A., & Gibbons, G. W. (1987). Anti-de Sitter space at finite temperature. Physics Letters B, 189(3), 304-310. doi:10.1016/0370-2693(87)91437-7.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5D92-B

Abstract

We consider a conformally invariant scalar field at finite temperature in anti-de Sitter space, and find the symmetric two-point function. Since it is meromorphic and it has both a real-time and imaginary-time periodicity, it is an elliptic function. From it, the expectation values of ø2 and the stress-energy tensor are calculated exactly, and then compared to a Tolman-redshifted radiation gas, and to Page's “optical” approximation. The total energy of the radiation is finite.