Gauge invariance of quantum gravity in the causal approach

Details Gauge invariance of quantum gravity in the causal approach Gauge invariance of quantum gravity in the causal approach

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14..653s&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 3, pp. 653-669 (1997).

Mathematics

10

Scientific paper

We investigate gauge invariance of perturbative quantum gravity without matter fields in the causal Epstein - Glaser approach. This approach uses free fields only so that all objects of the theory are mathematically well defined. The first-order graviton self-couplings are obtained from the Einstein - Hilbert Lagrangian written in terms of Goldberg variables and expanded to lowest order on the flat Minkowski background metric (linearized Einstein theory). Similar to Yang - Mills theory, gauge invariance to first order requires an additional coupling to fermionic ghost fields. For second-order tree graphs, gauge invariance generates four-graviton normalization terms, which agree exactly with the next order of the expansion of the Einstein - Hilbert Lagrangian. Gauge invariance of the ghost sector is then examined in detail. It is stressed that, despite some formal similarities, the concept of operator gauge invariance used in the causal method is different from the conventional BRS-invariance commonly used in the literature.

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