Simple derivation of general Fierz-type identities

Details Simple derivation of general Fierz-type identities Simple derivation of general Fierz-type identities

2004-12-17

arxiv.org/abs/hep-ph/0412245v4

Am.J.Phys. 73 (2005) 1160-1163

Physics

High Energy Physics

High Energy Physics - Phenomenology

9pages. Few sentences modified in introduction and in conclusion. Typos corrected. An example added in introduction. Title mod

Scientific paper

10.1119/1.2074087

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 $4\times4$ matrices. Other completeness relations for the fundamental representations of SU(N) algebras can be extracted using the same reasoning.

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