Towards the goal of constructing discretisations of spacetime models that preserve as large of a discrete subgroup of Poincare symmetry as possible, we investigate lattices in maximally-symmetric relativistic geometries (i.e. Minkowski, de Sitter, and Anti-de Sitter spaces), and explore their properties and symmetry groups.
Investigating tree-level scattering amplitudes for gluons in Yang-Mills. By utilising colour decomposition, we consider partial amplitude formulas in the case of 3 negative-helicity gluons; in particular, we study their singularity structure using projective geometry.
Supervisor: Professor Freddy Cachazo.
Extending recent work pioneered at PiQuIL in approximating the groundstate wavefunction of a quantum lattice system using Recurrent Neural Networks: Investigated the affect of error and noisiness of the quantum data on the accuracy of the wavefunction and other physical quantities.
To generalise results in cosmological inflation to include non-flat universes and non-eternal inflation, a novel comoving curvature perturbation variable is proposed and analysed. Novel initial conditions are proposed by setting the vacuum using the renormalised stress energy tensor.
Supervisor: Dr Will Handley.