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Graviton scattering amplitudes and Pure Connection Formulation of GR

Gianluca Delfino

(Submitted on 17 Jun 2013)

We show how the recently introduced "Pure Connection Formulation" of gravity provides a natural framework for approaching the problem of computing graviton scattering amplitudes. In particular, we show that the interaction vertices are greatly simplified in this formalism as compared to the Einstein-Hilbert perturbation theory. This, in turns, leads to very simple Feynman rules that we employ for the direct computations. Furthermore, this framework naturally extends towider class of gravitational theories, which encompasses General Relativity as a special case. We compute all the possible tree-levelgraviton-graviton scattering amplitudesfor a general theory from this class. In the GR case the results are in complete accordance with the known expressions in the literature. Moreover, for the general theory distinct from GR, we find new tree-level parity-violating amplitudes. The presence of this new amplitudes is a direct consequence of the fact that the general theory does not exhibit explicit parity invariance.

122 pages, PhD Thesis

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# PCF Pure Connection Formulation of GR now QG: Krasnov Delfino Scarinci

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