We use the zeta-function technique to calculate the one-loop effective potential for a scalar field in anti-de Sitter (AdS) space. The zeta function is computed exactly on the four-dimensional hyperbolic space H-4, the Euclidean section appropriate for AdS space. The structure of the ultraviolet divergences is shown to agree with previous calculations where Pauli-Villars or some version of dimensional regularization was used. The finite part of the effective potential is given explicitly by an integral over a variable related to the spectrum of the Laplace-Beltrami operator on H-4.
Zeta-function regularization of one-loop effective potentials in anti-de Sitter spacetime / R. Camporesi. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 43:12(1991), pp. 3958-3965. [10.1103/PhysRevD.43.3958]
|Titolo:||Zeta-function regularization of one-loop effective potentials in anti-de Sitter spacetime|
|Data di pubblicazione:||1991|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevD.43.3958|
|Appare nelle tipologie:||1.1 Articolo in rivista|