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

Abhijit K. Kshirsagar
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Abstract

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 $Σ$ and the auxiliary matrix field $ψ$ 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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Abhijit K. Kshirsagar. 1992-07-31. Towards a path integral for the pure-spin connection formulation of gravity. https://doi.org/10.1088/0264-9381%2F10%2F9%2F025

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