Dynamical symmetry breaking in the gauged NambuJonaLasinio model
Abstract
The mechanism of dynamical chiral symmetry breaking is studied in the Abelian version of the gauged NambuJonaLasinio model in four dimensions. The most interesting feature of the gauged NambuJonaLasinio model is the appearance of relevant (renormalizable) fourfermion 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 hepth/9712123. In an attempt to go beyond standard mean field approximations for fourfermion 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 ultraviolet stable fixed points for sufficiently large N. This implies that the gauged NambuJonaLasinio model is a rare example of a nontrivial nonasymptotically free gauge field theory in four dimensions.
 Publication:

arXiv eprints
 Pub Date:
 June 1999
 DOI:
 10.48550/arXiv.hepth/9906034
 arXiv:
 arXiv:hepth/9906034
 Bibcode:
 1999hep.th....6034R
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 Ph.D. Thesis, University of Groningen, 199 pages, figures included, LaTeX (BibTeX)