Simple derivation of general Fierz-type identities
High Energy Physics - Phenomenology
2009-11-10 v4 High Energy Physics - Theory
Physics Education
Abstract
General Fierz-type identities are examined and their well known connection with completeness relations in matrix vector spaces is shown. In particular, I derive the chiral Fierz identities in a simple and systematic way by using a chiral basis for the complex matrices. Other completeness relations for the fundamental representations of SU(N) algebras can be extracted using the same reasoning.
Keywords
Cite
@article{arxiv.hep-ph/0412245,
title = {Simple derivation of general Fierz-type identities},
author = {C. C. Nishi},
journal= {arXiv preprint arXiv:hep-ph/0412245},
year = {2009}
}
Comments
9pages. Few sentences modified in introduction and in conclusion. Typos corrected. An example added in introduction. Title modified