Spin-2 Quantum Gauge Theories and Perturbative Gauge Invariance

Details Spin-2 Quantum Gauge Theories and Perturbative Gauge Invariance Spin-2 Quantum Gauge Theories and Perturbative Gauge Invariance

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001gregr..33..553s&link_type=ejournal

General Relativity and Gravitation, Volume 33, Issue 3, pp.553-590

Physics

4

Quantum Field Theory, Quantum Gravity

Scientific paper

In the framework of causal perturbation theory we analyze the gauge structure of a massless self-interacting quantum tensor field. We look at this theory from a pure field theoretical point of view without assuming any geometrical aspect from general relativity. To first order in the perturbation expansion of the S-matrix we derive necessary and sufficient conditions for such a theory to be gauge invariant, by which we mean that the gauge variation of the self-coupling with respect to the gauge charge operator Q is a divergence in the sense of vector analysis. The most general trilinear self-coupling of the graviton field turns out to be the one derived from the Einstein-Hilbert action plus divergences and coboundaries.

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