Abstract

The quantization of gauge theories of gravitation with k-4 propagator is investigated with the functional integration method. It is found that gauge-fixing terms in these theories are quite different from those in ordinary gauge theories. Ward identities are then derived and used to show that there is no renormalization of the longitudinal parts of the two-point Green's functions, just as expected. It is also shown that in order to satisfy these identities the bare graviton propagator has to come from the term of the square of the Riemann curvature tensor in the Lagrangian.

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