BPHZ renormalization of phi/sup 4/ field theory in curved spacetime
Journal Article
·
· Ann. Phys. (N.Y.); (United States)
A proof is given to all orders in perturbation theory of the renormalizability of phi/sup 4/ field theory in curved spacetime. The proof is based on the BPHZ definition of a renormalized Feynman integrand and uses dimensional regularization to ensure that products of Feynman propagators are well-defined distributions. The explicit structure of the pole terms in the Feynman intergrand is obtained using a local momentum space representation of the Feynman propagator and is shown to be of a form which can be cancelled by counterterms in the scalar field Lagrangian. The proof given is, technically, only valid for metrics which have been analytically continued to Euclidean (+ + + +) signature.
- Research Organization:
- Department of Applied Mathematics and Theoretical Physics, University of Liverpool, P.O. Box 147, Liverpool L69 3BX, England
- OSTI ID:
- 6533425
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 131:1; ISSN APNYA
- Country of Publication:
- United States
- Language:
- English
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