Criterion for dynamical chiral symmetry breaking
High Energy Physics - Theory
2008-11-26 v4 Superconductivity
High Energy Physics - Phenomenology
Abstract
The Bethe-Salpeter equation is related to a generalized quantum-mechanical Hamiltonian. Instability of the presumed vacuum, indicated by a tachyon, is related to a negative energy eigenstate of this Hamiltonian. The variational method shows that an arbitrarily weak long-range attraction leads to chiral symmetry breaking, except in the scale-invariant case when the instability occurs at a critical value of the coupling. In the case of short-range attraction, an upper bound for the critical coupling is obtained.
Cite
@article{arxiv.hep-th/0703050,
title = {Criterion for dynamical chiral symmetry breaking},
author = {Bithika Jain and Indrajit Mitra and H. S. Sharatchandra},
journal= {arXiv preprint arXiv:hep-th/0703050},
year = {2008}
}
Comments
10 pages, 2 figures; made minor changes, published version