Remarks on the quantum modes of the scalar field on AdSd+1 spacetime

Details Remarks on the quantum modes of the scalar field on AdSd+1 spacetime Remarks on the quantum modes of the scalar field on AdSd+1 spacetime

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..60j7504c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 60, Issue 10, 15 November 1999, id. 107504

Physics

11

Quantum Field Theory In Curved Spacetime

Scientific paper

The problem of the quantum modes of the scalar free field on anti-de Sitter (AdS) backgrounds with an arbitrary number of space dimensions is considered. It is shown that this problem can be solved by using the same quantum numbers as those of the nonrelativistic oscillator and two parameters which give the energy quanta and, respectively, the ground-state energy. This last one is known to be just the conformal dimension of the boundary field theory of the AdS-conformal field theory (CFT) conjecture. The obtained normalized energy eigenfunctions represent a new result which corrects that of Burgess and Lütken.

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