English

A Large N Chiral Transition on a Plaquette

High Energy Physics - Theory 2016-09-06 v1 High Energy Physics - Lattice

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 NN \to \infty limit.

Keywords

Cite

@article{arxiv.hep-th/9610225,
  title  = {A Large N Chiral Transition on a Plaquette},
  author = {Shailesh Chandrasekharan},
  journal= {arXiv preprint arXiv:hep-th/9610225},
  year   = {2016}
}

Comments

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