Fermion Mass Generation in the D-dimensional Thirring Model as a Gauge Theory
High Energy Physics - Theory
2009-10-30 v1
Abstract
Based on the Schwinger-Dyson (SD) equation, the fermion mass generation is further studied in the D(2<D<4)-dimensional Thirring model as a gauge theory previously proposed. By using a certain approximation to the kernel, we analytically obtained explicit form of the dynamical mass of fermion and the critical line in (N,1/g) space, where N is the number of fermions and g is the dimensionless vector-type four-fermion coupling constant. This analytical result is confirmed by the numerical solution for the SD equation with exact form of the kernel in (2+1) dimensions.
Keywords
Cite
@article{arxiv.hep-th/9611198,
title = {Fermion Mass Generation in the D-dimensional Thirring Model as a Gauge Theory},
author = {M. Sugiura},
journal= {arXiv preprint arXiv:hep-th/9611198},
year = {2009}
}
Comments
21 pages, 2 Postscript figures, LaTeX