Radiative Corrections and the Palatini Action
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By using the Faddeev-Popov quantization procedure, we demonstrate that the radiative effects computed using the first-order and second-order Einstein-Hilbert action for General Relativity are the same, provided one can discard tadpoles. In addition, we show that the first order form of this action can be used to obtain a set of Feynman rules that involves just two propagating fields and three three-point vertices; using these rules is considerably simpler than employing the infinite number of vertices that occur in the second-order form. We demonstrate this by computing the one-loop, two-point function.
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Cited by 3 Pith papers
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Covariant quantization of the Einstein-Hilbert theory in first-order form
A covariant BV quantization of first-order Einstein-Hilbert gravity is constructed, yielding a novel trivial symmetry and establishing on-shell quantum equivalence to the metric formulation.
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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 formu...
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Covariant quantization of the Einstein-Hilbert theory in first-order form
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 equation...
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