2004/12/31 by C. C. Nishi · 1 citation
Physics and Astronomy · #hep-ph #hep-th #physics.ed-ph
paper · pdf · doi:10.1119/1.2074087
published as Am.J.Phys. 73 (2005) 1160-1163 · 9pages. Few sentences modified in introduction and in conclusion. Typos corrected. An example added in introduction. Title modified
arxiv created 2006/01/17 · arxiv updated 2009/12/01
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 4×4 matrices. Other completeness relations for the fundamental representations of SU(N) algebras can be extracted using the same reasoning.