We investigate the use of a random or stochastic process to perform Monte Carlo simulations of improved actions for pure SU(2) gauge theory formulated on a lattice. The improved actions studied are extensions of Wilson's simple plaquette action to include six-link plaquettes. The stochastic or "noisy" method involves computing additional terms in the action such that they have the correct values on the average. We devise two schemes for achieving this and compare them to the Metropolis method, where the additional terms are computed exactly. We find that the noisy methods produce independent configurations more rapidly than the Metropolis method. The greatest improvement is found to be by roughly a factor of two. The results, however, are sensitive to the values of the coefficients of the additional terms in the action. Our study indicates that for more complex actions a noisy method will be significantly superior to an exact method such as the Metropolis algorithm. This means that current lattice sizes and computer resources can be used to measure observables much closer to the continuum limit. / Source: Dissertation Abstracts International, Volume: 50-03, Section: B, page: 0998. / Major Professor: Joseph F. Owens. / Thesis (Ph.D.)--The Florida State University, 1989.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_77986 |
| Contributors | Black, Steven Charles., Florida State University |
| Source Sets | Florida State University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | 191 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
Page generated in 0.0139 seconds