The path integral of unimodular gravity

Abstract

We compute the one-loop effective action in unimodular gravity, starting from two different classical formulations of the theory. We find that the effective action is the same in both cases, and agrees with the one of General Relativity.

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• Covariant BRST Quantization of Unimodular Gravity I -- Formulation with antisymmetric tensor ghosts --
• Off-shell unimodular N=1, d=4 supergravity
• Hamiltonian analysis of unimodular gravity and its quantization in the connection representation
• Unfree gauge symmetry in the Hamiltonian formalism
• Unimodular Quadratic Gravity and the Cosmological Constant
• On Unimodular Gauge of Quantum Gravity
• Covariant BRST Quantization of Unimodular Gravity II -- Formulation with a vector antighost --