Effective Lagrangian and energy-momentum tensor in de Sitter space
Journal Article
·
· Phys. Rev., D; (United States)
The effective Lagrangian and vacuum energy-momentum tensor < T/sup mu//sup nu/ > due to a scalar field in a de Sitter--space background are calculated using the dimensional-regularization method. For generality the scalar field equation is chosen in the form (D/sup 7/Alembertian/sup 2/ + xiR + m/sup 2/) phi = 0. If xi = 1/6 and m = 0, the renormalized equals g/sup mu//sup nu/(960..pi../sup 2/a/sup 4/)/sup -1/, where a is the radius of de Sitter space. More formally, a general zeta-function method is developed. It yields the renormalized effective Lagrangian as the derivative of the zeta function on the curved space. This method is shown to be virtually identical to a method of dimensional regularization applicable to any Riemann space. (AIP)
- Research Organization:
- Department of Theoretical Physics, The University, Manchester, 13, England
- OSTI ID:
- 7352436
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Attractor states and quantum instabilities in de Sitter space
Attractor states and infrared scaling in de Sitter space
Stress-energy tensors in anti--de Sitter spacetime
Conference
·
Sun Dec 31 23:00:00 EST 2000
·
OSTI ID:975124
Attractor states and infrared scaling in de Sitter space
Journal Article
·
Thu Dec 14 23:00:00 EST 2000
· Physical Review D
·
OSTI ID:40205233
Stress-energy tensors in anti--de Sitter spacetime
Journal Article
·
Fri May 15 00:00:00 EDT 1992
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:7044459