Abstract:
The results of the first two parts of the present study are generalized
to the case of nonlinear gravitation. Under the assumption that the
gauge tensor field of second rank transforms in accordance with a nonprincipal
representation of the conformal group it is found that the
conformally invariant two-point functions of this field have nonzero
transverse part, and a nondegenerate conformally invariant Lagrangian
is also constructed. It is shown that in the gauge-invariant sector
this theory is identical with ordinary renormalizable linear gravitation.
The global symmetry of the effective Lagrangian, which can be used to
separate the subspace of transverse states and derive a Ward identity, is discussed.
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