Towards a path integral for the pure-spin connection formulation of gravity

Details Towards a path integral for the pure-spin connection formulation of gravity Towards a path integral for the pure-spin connection formulation of gravity

1992-07-31

arxiv.org/abs/hep-th/9207115v1

Class.Quant.Grav.10:1859-1864,1993

Physics

High Energy Physics

High Energy Physics - Theory

8 pages in plain-TeX.-----IUCAA_TH/92

Scientific paper

10.1088/0264-9381/10/9/025

A proposal for the path-integral of pure-spin-connection formulation of gravity is described, based on the two-form formulation of Capovilla et. al. It is shown that the resulting effective-action for the spin-connection, upon functional integration of the two-form field $\Sigma$ and the auxiliary matrix field $\psi$ is {\it non-polynomial}, even for the case of vanishing cosmological constant and absence of any matter couplings. Further, a diagramatic evaluation is proposed for the contribution of the matrix-field to the pure spin connection action.

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