Quantum Scalar Fields on Anti-de Sitter Spacetime

Details Quantum Scalar Fields on Anti-de Sitter Spacetime Quantum Scalar Fields on Anti-de Sitter Spacetime

1998-09-19

arxiv.org/abs/hep-th/9809144v3

Nucl.Phys. B549 (1999) 499-515

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 18 pages, no figures, references added, definition of y explained, typos in the Appendix corrected, final version to a

Scientific paper

10.1016/S0550-3213(99)00137-6

We investigate the propagation of arbitrarily coupled scalar fields on the $N$-dimensional hyperbolic space ${\mathbb H}^N$. Using the $\zeta$-function regularization we compute exactly the one loop effective action. The vacuum expectation value of quadratic field fluctuations and the one loop renormalized stress tensor are then computed using the recently proposed direct $\zeta$-function technique. Our computation tests the validity of this approach in presence of a continuous spectrum. Our results apply as well to the $N$-dimensional anti-de Sitter spacetime, whose appropriate euclidean section is the hyperbolic space ${\mathbb H}^N$.

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