Chiral Symmetry Breaking by Instantons
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
This is a review of the QCD instanton vacuum. After introducing instantons and their physical meaning, I show that the number of instantons in the vacuum fluctuates in accordance with the QCD trace anomaly. The main properties of the instanton ensemble are given. Chiral symmetry breaking by instantons is explained in three different though mathematically equivalent ways. In particular, a derivation of the Nambu--Jona-Lasinio-type model from instantons is presented, and the effective chiral lagrangian to which QCD is reduced at low momenta, is given. I end up by discussing possible confinement mechanisms.
Cite
@article{arxiv.hep-ph/9602375,
title = {Chiral Symmetry Breaking by Instantons},
author = {Dmitri Diakonov},
journal= {arXiv preprint arXiv:hep-ph/9602375},
year = {2007}
}
Comments
Lectures at the Enrico Fermi School in Physics, Varenna, June 27 -- July 7, 1995, to be published in the Proceedings. LaTex, 42 p