Large N transition in the 2D SU(N)xSU(N) nonlinear sigma model

Abstract

We consider the characteristic polynomial associated with the smoothed two point function in two dimensional large N principal chiral model. We numerically show that it undergoes a transition at a critical distance of the order of the correlation length. The transition is in the same universality class as two dimensional large N QCD.

Comments: 7 pages, 6 figures, The XXVI International Symposium on Lattice Field Theory July 14-19 2008 Williamsburg, Virginia, USA