Remarks on the quantum modes of the scalar field onspacetime
- 26 October 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 60 (10) , 107504
- https://doi.org/10.1103/physrevd.60.107504
Abstract
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.Keywords
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