Towards a path integral for pure spin connection formulation of gravity

DOI10.1088/0264-9381/10/9/025zbMATH Open0783.53053arXivhep-th/9207115OpenAlexW3105219496MaRDI QIDQ3142654

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Publication date: 13 March 1994

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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 $Sigma$ 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.

Full work available at URL: https://arxiv.org/abs/hep-th/9207115

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