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arXiv · hep-th/9903055

Spin-2 gauge theories and perturbative gauge invariance

G. Scharf·M. Wellmann
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Abstract

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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G. Scharf, M. Wellmann. 1999-11-16. Spin-2 gauge theories and perturbative gauge invariance. https://arxiv.org/abs/hep-th/9903055

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