University of Illinois Urbana-Champaign

Numerical tests of dual superconductivity in non-abelian lattice gauge theories

Neiman, Steven David

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Description

Title
Numerical tests of dual superconductivity in non-abelian lattice gauge theories
Author(s)
Neiman, Steven David
Issue Date
1996
Doctoral Committee Chair(s)
Kogut, John B.
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, Electricity and Magnetism
  • Physics, Elementary Particles and High Energy
Language
eng
Abstract
  • In this thesis, I describe numerical tests of the dual superconductivity hypothesis. After outlining the lattice gauge theory framework used in these calculations, I review the history of magnetic monopoles and dual superconductivity. The calculational procedure for determining the part of the quark-antiquark potential produced by magnetic currents is then developed. The computer algorithms required to perform these numerical tests are then discussed as well as the results of the project. Finally, I present further supporting evidence involving propagators, modified actions, and the finite temperature transition before ending with the future work that needs to be done in this area.
  • The conclusion of this work is that an abelian sectioning process can effectively organize the long range degrees of freedom in the non-abelian gauge fields into the abelian sector of the gauge fields. Once this occurs, non-perturbative objects like magnetic monopoles can then be identified using these extracted abelian fields. Moreover, it is shown that these magnetic monopoles produce the confining part of the static quark-antiquark potential, in accordance with the dual superconductivity hypothesis.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/19617
Copyright and License Information
Copyright 1996 Neiman, Steven David

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