Quantum Fluctuations for de Sitter Branes in Bulk AdS(5)

Details Quantum Fluctuations for de Sitter Branes in Bulk AdS(5) Quantum Fluctuations for de Sitter Branes in Bulk AdS(5)

2004-11-17

arxiv.org/abs/hep-th/0411155v2

Prog.Theor.Phys.113:535-554,2005

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.113.535

The vacuum expectation value of the square of the field fluctuations of a scalar field on a background consisting of {\it two} de Sitter branes embedded in an anti-de Sitter bulk are considered. We apply a dimensional reduction to obtain an effective lower dimensional de Sitter space equation of motion with associated Kaluza-Klein masses and canonical commutation relations. The case of a scalar field obeying a restricted class of mass and curvature couplings, including massless, conformal coupling as a special case, is considered. We find that the local behaviour of the quantum fluctuations suffers from surface divergences as we approach the brane, however, if the field is {\it constrained} to its value on the brane from the beginning then surface divergences disappear. The ratio of $<\phi^2>$ between the Kaluza-Klein spectrum and the lowest eigenvalue mode is found to vanish in the limit that one of the branes goes to infinity.

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