Large N gauge theory and k-strings

Large N gauge theory and k-strings

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We considered the k-antisymmetric representation of U(N) gauge group on two dimensional lattice space and derived the free energy by saddle point approximation in large N limit. k is a large integer comparable with N. Besides Gross-Witten phase transition[1], which happens as the coupling constant c...

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Main Author: Yang, Shuhang
Language:English
Published: University of British Columbia 2011
Online Access:http://hdl.handle.net/2429/33648
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-BVAU.-336482013-06-05T04:19:24ZLarge N gauge theory and k-stringsYang, ShuhangWe considered the k-antisymmetric representation of U(N) gauge group on two dimensional lattice space and derived the free energy by saddle point approximation in large N limit. k is a large integer comparable with N. Besides Gross-Witten phase transition[1], which happens as the coupling constant changes, we found a new phase transition in the strong coupling system that happens as k changes. The free energy of the weak coupling system is a smooth function of k under continuous limit. We have carefully selected the right saddle point solution among other possible ones. The numerical results match our saddle point calculations.University of British Columbia2011-04-14T19:30:49Z2011-04-14T19:30:49Z20112011-04-14T19:30:49Z2011-05Electronic Thesis or Dissertationhttp://hdl.handle.net/2429/33648eng
collection NDLTD
language English
sources NDLTD
description We considered the k-antisymmetric representation of U(N) gauge group on two dimensional lattice space and derived the free energy by saddle point approximation in large N limit. k is a large integer comparable with N. Besides Gross-Witten phase transition[1], which happens as the coupling constant changes, we found a new phase transition in the strong coupling system that happens as k changes. The free energy of the weak coupling system is a smooth function of k under continuous limit. We have carefully selected the right saddle point solution among other possible ones. The numerical results match our saddle point calculations.
author Yang, Shuhang
spellingShingle Yang, Shuhang
Large N gauge theory and k-strings
author_facet Yang, Shuhang
author_sort Yang, Shuhang
title Large N gauge theory and k-strings
title_short Large N gauge theory and k-strings
title_full Large N gauge theory and k-strings
title_fullStr Large N gauge theory and k-strings
title_full_unstemmed Large N gauge theory and k-strings
title_sort large n gauge theory and k-strings
publisher University of British Columbia
publishDate 2011
url http://hdl.handle.net/2429/33648
work_keys_str_mv AT yangshuhang largengaugetheoryandkstrings
_version_ 1716587762867503104

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