This thesis describes lattice gauge theories and discusses methods used to simulate them stochastically. The use of parallel computers for these simulations is discussed in depth. Various pseudo-random number generator algorithms are reviewed and the implementation of these algorithms on parallel systems is investigated. The strong-coupling phase transition of non-compact lattice QED is investigated. The phase diagram of strong-coupling non-compact lattice QED with an additional four-fermion interaction is deduced using a series of dynamical fermion simulations. The mass dependence of the system is investigated for non-compact QED and along the β = 2.0 axis, which is close to a system with only four-fermi interactions. These results are compared with solutions to the gap equation in order to determine if the data is consistent with a mean-field interpretation. An interpolation technique intended to improve the utilisation of the available data is investigated. The simulation program is also described in detail as a case study of a parallel implementation of a lattice gauge theory. The implementation of QCD on an i860 based parallel computer is described in depth. This includes a description of how code is optimised for the i860, an analysis of the time-critical portions of the code and a discussion of how these routines were implemented. Timings for these routines are given. Some results from these simulations are also presented.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:641782 |
| Date | January 1992 |
| Creators | Booth, Stephen Peter |
| Publisher | University of Edinburgh |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/1842/15213 |
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