Two important invariant identities

Details Two important invariant identities Two important invariant identities

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35..769x&link_type=abstract

Physical Review D, vol. 35, Issue 2, pp. 769-770

Physics

8

Fundamental Problems And General Formalism, Renormalization

Scientific paper

Two important invariant identities about the products of the Riemann tensor Rαβγλ and the Ricci tensor Rαβ and the scalar curvature R are derived by the technique of Weyl decomposition of the Riemann tensor and by the spinor formalism. These identities are very useful in four dimensions for simplifying the final expression of the a3 coefficient of the scalar fields and for simplifying the evaluation of the vacuum-polarization energy-momentum tensor. This result is of relevance to the work of Jack and Parker on the summed form of the heat kernel.

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