Renormalization of interacting scalar field theories in curved space-time
Journal Article
·
· Phys. Rev. D; (United States)
The renormalization of interacting scalar field theories in general curved space-times is discussed. The background-field method is used to calculate the effective action. Divergences are analyzed using heat-kernel techniques and dimensional regularization. Renormalization of a scalar field theory with cubic and quartic self-interactions is shown at the two-loop level in a four-dimensional space-time. Counterterms, including the gravitational ones, are computed to this order. Renormalization of the one-loop effective action is examined for a scalar field with a cubic self-interaction in a general six-dimensional space-time. As a result of the asymptotic freedom of this theory, the coupling constant appearing in the Rphi/sup 2/ term is shown using the renormalization group to have an ultraviolet fixed point given by its conformal value of (1/5).
- Research Organization:
- The Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, England
- OSTI ID:
- 6573778
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:10; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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