Renormalization of interacting scalar field theory in three-dimensional curved spacetime

Details Renormalization of interacting scalar field theory in three-dimensional curved spacetime Renormalization of interacting scalar field theory in three-dimensional curved spacetime

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.6767h&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 12, 15 June 1994, pp.6767-6777

Physics

10

Renormalization, Theory Of Quantized Fields, Quantum Field Theory In Curved Spacetime

Scientific paper

The renormalizability of a real scalar field with a polynomial self-interaction of degree six on a general curved three-dimensional background spacetime is considered. The method used is the background-field expansion of the effective action. We show that the theory is finite (after regularization) at one- and three-loop order. Complete counterterms are found at two-loop order. A partial analysis at four-loop order is presented to analyze the gravitationally dependent counterterms. A previous paper dealing with a special case of the theory considered here is shown to be incorrect.

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