Bosonization in Particle Physics
High Energy Physics - Phenomenology
2009-10-30 v1
Abstract
Path integral techniques in collective fields are shown to be a useful analytical tool to reformulate a field theory defined in terms of microscopic quark (gluon) degrees of freedom as an effective theory of collective boson (meson) fields. For illustrations, the path integral bosonization approach is applied to derive a (non)linear sigma model from a Nambu-Jona-Lasinio (NJL) quark model. The method can be extended to include higher order derivative terms in meson fields or heavy-quark symmetries. It is also approximately applicable to QCD.
Cite
@article{arxiv.hep-ph/9710511,
title = {Bosonization in Particle Physics},
author = {D. Ebert},
journal= {arXiv preprint arXiv:hep-ph/9710511},
year = {2009}
}
Comments
12 pages, LaTeX, uses lamuphys.sty, 5 LaTeX figures, talk given at the Workshop "Field Theoretical Tools in Polymer and Particle Physics", University Wuppertal, June 17-19, 1997