Effective Potential and the Bound States for a Class of Two Dimensional Gauge Theories

摘要

The effective potential is calculated for a two dimensional U(N) gauge theory with scalar quarks to leading order in the 1/N expansion. If there is no phi exp 4 interaction present, the potential is unbounded from below. If the phi exp 4 interaction is present, the potential is bounded from below and there is an unbroken and a spontaneously broken symmetry phase. The bound state spectrum of the unbroken phase is very similar to that of an U(N) gauge theory without the phi exp 4 term. (Atomindex citation 10:482982)