Eigenvalues of a Wilson loop operator are gauge invariant and their distribution undergoes a transition at infinite N as the size of the loop is changed. We study this transition using the average characteristic polynomial associated with the Wilson loop operator. We derive the scaling function in a certain double scaling limit for two dimensional QCD and hypothesize that the transition in three and four dimensional QCD are in the same universality class. Numerical evidence for this hypothesis is provided in three dimensions.
|Original language||English (US)|
|Journal||Proceedings of Science|
|State||Published - Jan 1 2008|
|Event||26th International Symposium on Lattice Field Theory, LATTICE 2008 - Williamsburg, United States|
Duration: Jul 14 2008 → Jul 19 2008
All Science Journal Classification (ASJC) codes