Dynamical symmetry breaking in the gauged Nambu-Jona-Lasinio model
Abstract
The mechanism of dynamical chiral symmetry breaking is studied in the Abelian version of the gauged Nambu-Jona-Lasinio model in four dimensions. The most interesting feature of the gauged Nambu-Jona-Lasinio model is the appearance of relevant (renormalizable) four-fermion interactions near a critical curve separating a chiral symmetric and a dynamically chiral symmetry broken phase. The first three chapters of the thesis are introductory. Chapter 4 is based on hep-th/9712123. In an attempt to go beyond standard mean field approximations for four-fermion interactions, the 1/N expansion is utilized in chapter 5. Within the 1/N expansion, where N is the number of fermion flavors, it is shown that the renormalization group beta function of the U(1) gauge coupling has ultra-violet stable fixed points for sufficiently large N. This implies that the gauged Nambu-Jona-Lasinio model is a rare example of a nontrivial nonasymptotically free gauge field theory in four dimensions.
Keywords
Cite
@article{arxiv.hep-th/9906034,
title = {Dynamical symmetry breaking in the gauged Nambu-Jona-Lasinio model},
author = {Manuel Reenders},
journal= {arXiv preprint arXiv:hep-th/9906034},
year = {2007}
}
Comments
Ph.D. Thesis, University of Groningen, 199 pages, figures included, LaTeX (BibTeX)