Quantizing the Palatini action using a transverse traceless propagator

Abstract

We consider the first order form of the Einstein-Hilbert action and quantize it using the path integral. Two gauge fixing conditions are imposed so that the graviton propagator is both traceless and transverse. It is shown that these two gauge conditions result in two complex Fermionic vector ghost fields and one real Bosonic vector ghost field. All Feynman diagrams to any order in perturbation theory can be constructed from two real Bosonic fields, two Fermionic ghost fields and one real Bosonic ghost field that propagate. These five fields interact through just five three point vertices and one four point vertex.

arXiv comment7 pages; accepted for publication in Physical Review D (the title has been changed)

References in corpus (9)

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Cited by in corpus (3)

• On Restricting to One Loop Order the Radiative Effects in Quantum Gravity
• Use of Lagrange multiplier fields to eliminate multiloop corrections
• First order formulation of the Yang-Mills theory in a background field