On gauge-independence in quantum gravity

Details On gauge-independence in quantum gravity On gauge-independence in quantum gravity

1995-09-13

arxiv.org/abs/hep-th/9509069v1

Nucl.Phys. B454 (1995) 685-700

Physics

High Energy Physics

High Energy Physics - Theory

42 kb, LATEX using elsart.sty, accepted for publication in Nucl. Phys. B

Scientific paper

10.1016/0550-3213(95)00477-A

We prove gauge-independence of one-loop path integral for on-shell quantum gravity obtained in a framework of modified geometric approach. We use projector on pure gauge directions constructed via quadratic form of the action. This enables us to formulate the proof entirely in terms of determinants of non-degenerate elliptic operators without reference to any renormalization procedure. The role of the conformal factor rotation in achieving gauge-independence is discussed. Direct computations on $CP^2$ in a general three-parameter background gauge are presented. We comment on gauge dependence of previous results by Ichinose.

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