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Title: Dynamics of numerical stochastic perturbation theory
Author: Garofalo, Marco
ISNI:       0000 0004 7230 1443
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2018
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Numerical Stochastic Perturbation theory is a powerful tool for estimating high-order perturbative expansions in lattice quantum field theory. The standard algorithm based on the Langevin equation, however, suffers from several limitations which in practice restrict the potential of this technique: first of all it is not exact, a sequence of simulations with finer and finer discretization of the relevant equations have to be performed in order to extrapolate away the systematic errors in the results; and, secondly, the numerical simulations suffer from critical slowing down as the continuum limit of the theory is approached. In this thesis I investigate some alternative methods which improve upon the standard approach. In particular, I present a formulation of Numerical Stochastic Perturbation theory based on the Generalised Hybrid Molecular Dynamics algorithm and a study of the recently proposed Instantaneous Stochastic Perturbation Theory. The viability of these methods is investigated in φ4 theory.
Supervisor: Kennedy, Anthony ; Horsley, Roger Sponsor: Science and Technology Facilities Council (STFC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Numerical Stochastic Perturbation theory ; Langevin equation ; lattice quantum field theory ; Instantaneous Stochastic Perturbation Theory ; f4 theory