A covariant quantization of the first-order Einstein-Hilbert theory is constructed via path integral and BV methods, with the connection as auxiliary field, yielding structural identities from Dyson-Schwinger equations and quantum equivalence to the second-order formulation at the effective action l
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FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.
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