Effective Lagrangian and Energy Momentum Tensor in de Sitter Space
Oct, 197525 pages
Published in:
- Phys.Rev.D 13 (1976) 3224
Report number:
- Print-75-1015 (MANCHESTER)
Citations per year
Abstract: (APS)
The effective Lagrangian and vacuum energy-momentum tensor 〈Tμν〉 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 (□2+ξR+m2)ϕ=0. If ξ=16 and m=0, the renormalized 〈Tμν〉 equals gμν(960π2a4)−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.- FIELD THEORY: EFFECTIVE LAGRANGIANS
- TENSOR: ENERGY-MOMENTUM
- FIELD THEORY: SCALAR
- FIELD EQUATIONS
- RENORMALIZATION
- GRAVITATION
- COUPLING CONSTANT
- INVARIANCE: CONFORMAL
References(9)
Figures(0)