A Large N Chiral Transition on a Plaquette

Details A Large N Chiral Transition on a Plaquette A Large N Chiral Transition on a Plaquette

1996-10-28

arxiv.org/abs/hep-th/9610225v1

Phys.Lett. B395 (1997) 83-88

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, including one figure. LaTeX (RevTex); to be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(97)00050-6

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.

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