Local momentum space and two-loop renormalizability of λφ 4 field theory in curved space-time

Details Local momentum space and two-loop renormalizability of λφ 4 field theory in curved space-time Local momentum space and two-loop renormalizability of λφ 4 field theory in curved space-time

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..711b&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 7, pp.711-723

Physics

7

Scientific paper

A generalization is given of some previous work in which a momentum space representation for the Feynman propagator,G(x, y), of a scalar field in an arbitrary curved space-time was obtained. The pointsx andy are allowed to vary in a normal neighborhood of an arbitrary fixed pointz which is taken as an origin of normal coordinates and the representation is obtained by Fourier transformation in the coordinate differencex α-y α. The generality of this representation enables it to be applied to the evaluation of the divergences in any Feynman graph. As an example, the third-order (two-loop) corrections to the four-point function of λø4 field theory are shown to be renormalizable in curved space-time.

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