Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-05
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, amslatex, introduction enlarged, section 3 and 4 modified, section 5 new, appendices added, references updated, some
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.
Scharf G"unter
Wellmann Mark
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