A covariant path-integral quantization of first-order Einstein-Hilbert gravity is constructed using BV formalism, yielding structural identities from Dyson-Schwinger equations and equivalence to the second-order formulation at the effective action level when the auxiliary connection is on-shell.
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Covariant quantization of the Einstein-Hilbert theory in first-order form
A covariant path-integral quantization of first-order Einstein-Hilbert gravity is constructed using BV formalism, yielding structural identities from Dyson-Schwinger equations and equivalence to the second-order formulation at the effective action level when the auxiliary connection is on-shell.