Gauged Nambu-Jona-Lasinio Model at O(1/N) with and without a Chern-Simons Term

Abstract

We solve the gauged Nambu--Jona-Lasinio model at leading order in the large $N$ expansion by computing the anomalous dimensions of all the fields of the model and other gauge independent critical exponents by examining the scaling behaviour of the Schwinger Dyson equation. We then restrict to the three dimensional model and include a Chern Simons term to discover the $θ$-dependence of the same exponents where $θ$ is the Chern Simons coupling.