Collective field approach to gauged principal chiral field at large N

Abstract

The lattice model of principal chiral field interacting with the gauge fields, which have no kinetic term, is considered. This model can be regarded as a strong coupling limit of lattice gauge theory at finite temperature. The complete set of equations for collective field variables is derived in the large N limit and the phase structure of the model is studied.Comment: LaTex (no figures), preprint SMI-94-7, 10 p