Dynamical Symmetry Breaking in a Gauge Theory ``Thirring Model''

Abstract

Dynamical fermion mass generation is studied in the three-dimensional Thirring model reformulated as a gauge theory by introducing hidden local symmetry. The analysis by use of Schwinger-Dyson equation is shown to exhibit a critical behavior as the number $N$ of four-component fermions approaches $N_{\mathrm{cr}}=128/3{\pi }^2$.

9 pages of LaTeX, Talk given by Y. Kim at 14th Symposium on Theoretical Physics, Cheju, Korea, July 1995