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arXiv · hep-ph/0412245

Simple derivation of general Fierz-type identities

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

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C. C. Nishi. 2006-01-17. Simple derivation of general Fierz-type identities. https://doi.org/10.1119/1.2074087

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