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• W2104068999 abstract "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." @default.
• W2104068999 created "2016-06-24" @default.
• W2104068999 creator A5021471597 @default.
• W2104068999 date "2014-07-10" @default.
• W2104068999 modified "2023-09-27" @default.
• W2104068999 title "Topological quantum field theory and quantum gravity" @default.
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• W2104068999 hasPublicationYear "2014" @default.
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