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 / Camporesi, Roberto. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 43:12(1991), pp. 3958-3965. [10.1103/PhysRevD.43.3958]

Zeta-function regularization of one-loop effective potentials in anti-de Sitter spacetime

CAMPORESI, ROBERTO
1991

Abstract

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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2497955
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo