Publication: Simple derivation of general Fierz-type identities
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Undergraduate course
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Amer Assoc Physics Teachers Amer Inst Physics
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Article
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Acesso aberto
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 X 4 matrices. Other completeness relations for the fundamental representations of SU(N) algebras can be extracted using the same reasoning. (c) 2005 American Association of Physics Teachers.
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English
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American Journal of Physics. Melville: Amer Associação Physics Teachers Amer Inst Physics, v. 73, n. 12, p. 1160-1163, 2005.
