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Title: Accelerated techniques in lattice gauge theories
Author: Coyle, P. K.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1995
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Lattice gauge theories, through Monte-Carlo simulations, provide the most powerful methods available for the non-perturbative study of many models. These techniques, however, become very inefficient as we approach the continuum limit, a problem known as Critical Slowing Down. Over recent years cluster methods have generated significant improvements over established techniques. In part I of this thesis we introduce such an algorithm for the Z2 Kalb-Ramond model in four dimensions, and find that we can improve the efficiency of the simulation by orders of magnitude. In the second part of this thesis we make preliminary investigations towards using duality transformations as an aid to improving numerical simulations, (where by duality we mean an extension of the technique of Kramers and Wannier). We study the compact U(1) lattice gauge theory in (2+1) dimensions as an example. The dual to this model is known to be a discrete Gaussian Solid On Solid model. We find the discrete nature of the model makes each update faster. However the structures which develop at high temperature, make naive simulations, overall, inefficient.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available