TY - THES
AU - Yang, Shuhang
PY - 2011
TI - Large N gauge theory and k-strings
KW - Thesis/Dissertation
LA - eng
M3 - Text
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/24/items/1.0071700
ER - End of Reference