Topological quantum field theory and quantum gravity
This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a 1-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-...
| Main Author: | |
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2014
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| Online Access: | https://eprints.nottingham.ac.uk/14094/ |
| _version_ | 1848791879592706048 |
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| author | Kerr, Steven |
| author_facet | Kerr, Steven |
| author_sort | Kerr, Steven |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a 1-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-function regularisation. Some implications for more physical models are discussed.
In the second part, the gauge gravity action is written using a particularly simple matrix technique. The coupling to scalar, fermion and Yang-Mills fields is reviewed, with some small additions. A sum over histories quantisation of the gauge gravity theory in 2+1 dimensions is then carried out for a particular class of triangulations of the three-sphere. The preliminary stage of the Hamiltonian analysis for the (3+1)-dimensional gauge gravity theory is undertaken. |
| first_indexed | 2025-11-14T18:35:31Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-14094 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:35:31Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-140942025-02-28T11:28:48Z https://eprints.nottingham.ac.uk/14094/ Topological quantum field theory and quantum gravity Kerr, Steven This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a 1-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-function regularisation. Some implications for more physical models are discussed. In the second part, the gauge gravity action is written using a particularly simple matrix technique. The coupling to scalar, fermion and Yang-Mills fields is reviewed, with some small additions. A sum over histories quantisation of the gauge gravity theory in 2+1 dimensions is then carried out for a particular class of triangulations of the three-sphere. The preliminary stage of the Hamiltonian analysis for the (3+1)-dimensional gauge gravity theory is undertaken. 2014-07-10 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/14094/1/Thesis5.pdf Kerr, Steven (2014) Topological quantum field theory and quantum gravity. PhD thesis, University of Nottingham. |
| spellingShingle | Kerr, Steven Topological quantum field theory and quantum gravity |
| title | Topological quantum field theory and quantum gravity |
| title_full | Topological quantum field theory and quantum gravity |
| title_fullStr | Topological quantum field theory and quantum gravity |
| title_full_unstemmed | Topological quantum field theory and quantum gravity |
| title_short | Topological quantum field theory and quantum gravity |
| title_sort | topological quantum field theory and quantum gravity |
| url | https://eprints.nottingham.ac.uk/14094/ |