2026-09-24T07:38:29Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/35262 2023-07-11 col_2142_8859 col_2142_5131 com_2142_8858 com_2142_234 com_2142_5130

Tucker, William Walden 2012-11-27T22:28:45Z 2012-11-27T22:28:45Z 10000-01-01 2005 We use lattice methods to study the connection between topological objects and the confining potential in SU(2) and SU(3) Yang-Mills theories. We use Monte Carlo techniques, generating and performing measurements on sample configurations of SU(2) and SU(3) gauge fields. We isolate topological objects, specifically Abelian monopoles and center vortices, in these configurations. We then measure the contribution to the string tension from these objects, and compare the results to “full” measurements made on the original configurations. In addition we investigate the effects of gauge ambiguities (Gribov effects) and cooling on these sets of measurements. For the case of SU(2) lattice gauge theory, our results from monopoles agree with full values but are somewhat lower when gauge ambiguities are taken into account. The situation is not stable under cooling. When we carry out analogous procedures on sample SU(3) lattice configurations, we find disagreement between full SU(3) values and those from topological objects, with our results from topological objects being lower than the full SU(3) values. This disagreement becomes more substantial after the effects of gauge ambiguities are taken into account. We conclude that present methods for identifying and extracting topological objects are inadequate for explaining confinement in the realistic case of an SU(3) gauge group. Submitted by Elias Lopez (erlopez2@illinois.edu) on 2012-11-27T22:28:44Z No. of bitstreams: 1 Tucker_William.pdf: 1741856 bytes, checksum: d9e0c254b48698c737adf08c16b1bec2 (MD5) Made available in DSpace on 2012-11-27T22:28:45Z (GMT). No. of bitstreams: 1 Tucker_William.pdf: 1741856 bytes, checksum: d9e0c254b48698c737adf08c16b1bec2 (MD5) Previous issue date: 2005 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Elias Lopez (erlopez2@illinois.edu) on 2012-11-27T22:28:45Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:09:43-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Author has not yet granted open access permission Author has not yet granted open access permission U of I Only http://hdl.handle.net/2142/35262 en 2005 Tucker © Topological abelian Lattice Gauge monopoles yang-mills monte carlo asymbiotic quenched approximations quark antiquark quark-antiquark wilson loop nielson-olesen homotopy invariants polyakov dirac superconductor gribov effect submanifold magnetic currents overrelaxation Topological Objects and Confinement in Non-Abelian Lattice Gauge Theory Dissertation / Thesis text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.