Graviton scattering amplitudes and Pure Connection Formulation of GR

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Delfino, Gianluca (2013) Graviton scattering amplitudes and Pure Connection Formulation of GR. PhD thesis, University of Nottingham.

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Abstract

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 to wider class of gravitational theories, which encompasses General Relativity as a special case.

We compute all the possible tree-level graviton-graviton scattering amplitudes for 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.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Krasnov, K.
Barrett, J.W.
Subjects: Q Science > QA Mathematics > QA299 Analysis
Q Science > QC Physics > QC170 Atomic physics. Constitution and properties of matter
Faculties/Schools: UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID: 13414
Depositing User: EP, Services
Date Deposited: 21 Oct 2013 12:49
Last Modified: 15 Dec 2017 06:00
URI: https://eprints.nottingham.ac.uk/id/eprint/13414

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