Graviton scattering amplitudes and Pure Connection Formulation of GR
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 t...
| Main Author: | |
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2013
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| Online Access: | https://eprints.nottingham.ac.uk/13414/ |
| _version_ | 1848791729890656256 |
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| author | Delfino, Gianluca |
| author_facet | Delfino, Gianluca |
| author_sort | Delfino, Gianluca |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:33:09Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-13414 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:33:09Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-134142025-02-28T11:25:05Z https://eprints.nottingham.ac.uk/13414/ Graviton scattering amplitudes and Pure Connection Formulation of GR Delfino, Gianluca 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. 2013-07-10 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/13414/1/Thesis.pdf Delfino, Gianluca (2013) Graviton scattering amplitudes and Pure Connection Formulation of GR. PhD thesis, University of Nottingham. |
| spellingShingle | Delfino, Gianluca Graviton scattering amplitudes and Pure Connection Formulation of GR |
| title | Graviton scattering amplitudes and Pure Connection Formulation of GR |
| title_full | Graviton scattering amplitudes and Pure Connection Formulation of GR |
| title_fullStr | Graviton scattering amplitudes and Pure Connection Formulation of GR |
| title_full_unstemmed | Graviton scattering amplitudes and Pure Connection Formulation of GR |
| title_short | Graviton scattering amplitudes and Pure Connection Formulation of GR |
| title_sort | graviton scattering amplitudes and pure connection formulation of gr |
| url | https://eprints.nottingham.ac.uk/13414/ |