A Note on Wess-Zumino Terms and Discrete Symmetries
High Energy Physics - Theory
2009-10-31 v2 High Energy Physics - Phenomenology
Abstract
Sigma models in which the integer coefficient of the Wess-Zumino term vanishes are easy to construct. This is the case if all flavor symmetries are vectorlike. We show that there is a subset of SU(N)XSU(N) vectorlike sigma models in which the Wess-Zumino term vanishes for reasons of symmetry as well. However, there is no chiral sigma model in which the Wess-Zumino term vanishes for reasons of symmetry. This can be understood in the sigma model basis as a consequence of an index theorem for the axialvector coupling matrix. We prove this index theorem directly from the SU(N)XSU(N) algebra.
Cite
@article{arxiv.hep-th/9807116,
title = {A Note on Wess-Zumino Terms and Discrete Symmetries},
author = {Silas R. Beane},
journal= {arXiv preprint arXiv:hep-th/9807116},
year = {2009}
}
Comments
11 pages TeX and mtexsis.tex, 1 figure (uses epsf), corrected typos