This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/20829
Description
Title
Monopoles and U(1) lattice gauge theory
Author(s)
Wensley, Roy James
Issue Date
1989
Doctoral Committee Chair(s)
Stack, John D.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Elementary Particles and High Energy
Language
eng
Abstract
In this thesis, I describe calculations done in $U(1)$ lattice gauge theory. After reviewing general concepts for doing calculations using quantum field theory on a space-time lattice, I discuss the presence of topological objects, which correspond to local minima of the action. These topological objects are identified as magnetic monopoles. Using configurations of monopoles identified in gauge field simulations in four dimensions, I study the behavior of the monopoles near the confinement-deconfinement transition.
In order to understand how quantitative calculations may be performed using the monopoles, I have performed numerical simulations of the gauge fields in three dimensions and extracted monopole configurations. Using a calculational scheme developed in this thesis, these monopole configurations are used to calculate the static potential between two quarks. The results are compared with answers obtained using semi-classical methods.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
