Pure connection formalism for gravity: Feynman rules and the graviton-graviton scattering

Understand

We continue to develop the pure connection formalism for gravity.

• We derive the Feynman rules for computing the connection correlation functions, as well as the prescription for obtaining the Minkowski space graviton scattering amplitudes from the latter.
• The present formalism turns out to be simpler than the metric based one in many aspects.
• Simplifications result from the fact that the conformal factor of the metric, a source of complications in the usual approach, does not propagate in the connection formulation even off-shell.