MathsNet: Research Student Directory

Name Coates, Andrew
Group Mathematical Physics
Room C18, Math Sci
Telephone +44 (0) 115 95 14961 [direct dial]
Email
Thesis Title From discrete spacetimes to field theories for gravity
Thesis Abstract Finding a quantum theory of gravity is one of the major challenges in Theoretical Physics. One approach is to apply lattice regularisation techniques to General Relativity. Introducing a lattice makes the theory and spacetime itself discrete (either fundamentally or as an intermediate technical step). Another approach to quantum gravity is to follow more conventional, field-theory quantisation techniques but modify General Relativity itself, so as to improve its ultraviolet (UV) behaviour. In particular one can trade Lorentz symmetry for an improvement in the UV behaviour. These approaches might seem unrelated, but they are in fact intimately tied by the fact that they both assume that spacetime is fundamentally split into space and time. There is growing evidence that the two approaches lead to very similar, if not the same, theory of quantum gravity. This thesis will explore this question. More generally, it will seek to develop the tools that will allow one to relate discrete quantum gravity theories and standard field theories, in the regime where their predictions could overlap.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
UK
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951