Effective Lagrangian and energy-momentum tensor in de Sitter space

✍ Scribed by Dowker, J.; Critchley, Raymond

• Book ID: 111919633
• Publisher: The American Physical Society
• Year: 1976
• Tongue: English
• Weight: 543 KB
• Volume: 13
• Category: Article
• ISSN: 1550-7998
• DOI: 10.1103/physrevd.13.3224

✦ Synopsis

The effective Lagrangian and vacuum energy-momentum tensor ( T"") 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 ( '+ $R + m ')p = 0. If $ = 1/6 and m = 0, the renormalized (T"') equals g ""(960m a ') ', 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.