What is the graviton propagator in the first order formalism?

AI Thread Summary
The discussion focuses on deriving the graviton propagator using the harmonic gauge condition and weak field expansion around a flat Minkowski metric, assuming a zero cosmological constant. It also explores the first-order (Palatini) formalism of gravitation theory, where the basic fields are vierbein and spin connection instead of the metric. The main inquiry is about the propagators for vierbein and spin connection in weak field expansion around flat space-time. Additionally, there is a request for references regarding the graviton propagator in the first-order formalism. The conversation emphasizes the need for clarity on these advanced concepts in gravitational theory.
Max
With the help of harmonic gauge condition, graviton propagator can be
obtained by weak field expansion around the flat Minkowski metric
(assuming cosmological constant is zero).

Gravitation theory can also be written in the first order (Palatini)
formalism. In stead of the metric, the basic fields are vierbein e and
spin connection w. For weak field expansion around the flat space-time
(e = e0 = constant, w = 0), what are the propagators for vierbein and
spin connection respectively? Are there any references on the graviton
propagator in the first order formalism? Thanks!

Max
 
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