Abstract:
We construct a model of a chiral transition using the well
known large N transition in two dimensional U(N) lattice
gauge theory. Restricting the model to a single plaquette,
we introduce Grassmann variables on the corners of the
plaquette with the natural phase factors of staggered
fermions and couple them to the U(N) link variables. The
classical theory has a continuous chiral symmetry which is
broken at strong couplings, but is restored for weak
couplings in the $N \to \infty$ limit.