Abstract

In recent years the quantum theory of gravitational field has been developed l ) in the framework of the Kugo-Ojima formalism') of the canonical local indefinite-metric quantum field theory of Yang-Mills fields and the unitarity of the physical S-matrix was established. But the renormalizability is completely unclear. On the other hand, the quantum theory of the quadratic gravitational theory (Einstein's gravitational theory supplemented with terms containing R' and RvRV) was shown to be renormalizable by Stelle several years ago. 3 ),4) But this theory possesses a massive tensor ghost field in its asymptotic fields and the unitarity of the physical S -matrix is violated. The purpose of this paper is to suggest a possible mechanism of the confinement of the massive tensor ghost field in the renormalizable quadratic quantum gravity. Our arguments are based on the Kugo-Ojima formulation of Yang-Mills fields. Let us start with the lagrangian (we restrict our discussion to the Landau gauge)

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