Abstract
The effective Lagrangian and vacuum energy-momentum tensor 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 . If and , the renormalized equals , where 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.
- Received 29 October 1975
DOI:https://doi.org/10.1103/PhysRevD.13.3224
©1976 American Physical Society