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

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 $\Sigma$ 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.

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

References in corpus (4)

• Critical Behavior of Dynamically Triangulated Quantum Gravity in Four Dimensions
• 4d Simplicial Quantum Gravity with a Non-Trivial Measure
• The G_Newton --> 0 Limit of Euclidean Quantum Gravity
• Non-uniform measure in 4d simplicial quantum gravity