Gauge -Balls, Glueballs and Monopoles in Pure U(1), SU(2) Lattice Gauge Theories
Filipczyk, Rafal D.
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https://hdl.handle.net/2142/80669
Description
Title
Gauge -Balls, Glueballs and Monopoles in Pure U(1), SU(2) Lattice Gauge Theories
Author(s)
Filipczyk, Rafal D.
Issue Date
1999
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
Gauge-balls and glueballs are studied in pure U(1) and SU(2) Lattice Gauge Theories. In the U(1) theory, numerical measurements of gauge-ball masses are carried out on link and monopole configurations at beta = 1.01 on the 164 lattice to determine if magnetic monopoles can account for the lightest gauge-ball masses. It is established that the monopoles indeed allow to compute the masses of these particles with the exception of the 2 +- state where there is a 17 percent disagreement between link and monopole mass values. In the SU(2) theory, numerical mass measurements of the scalar and tensor glue-balls are performed at beta = 2.4, 2.5 on the 164 lattice on Abelian projected and monopole configurations. The results indicate that the mass values computed using both methods agree quite well and, in addition, they are in agreement with the results of computations on the full SU(2) configurations by a different group.
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