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Research PapersNo Access

FIERZ TRANSFORMATION FOR SU(2) AND SU(3) EIGHTH-ORDER FERMION INTERACTIONS

FÁBIO L. BRAGHIN

FÁBIO L. BRAGHIN

Instituto de Física, Univ. Fed. de Goiás, P.B.131, Campus II, 74001-970, Goiânia (GO), Brazil

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https://doi.org/10.1142/S0217732313500235Cited by:1 (Source: Crossref)

Abstract

The Fierz transformations (Ft) for SU(2) and SU(3) operators in eighth-order fermion interactions are derived. These terms appear in expansions in terms of fermion currents of the following form: I₁ I₂ I₃ I₄ and also the composite , where Γ⁽ⁱ⁾ are either the SU(2) Pauli matrices or SU(3) Gell-Mann matrices. The calculation is carried out using the exchange projector operators.

Keywords:

PACS: 11.10.-z, 11.38.-t, 14.40.Rt, 21.30.Fe

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Journal cover image

Vol. 28, No. 07

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History

Received 10 January 2013

Revised 2 February 2013

Accepted 4 February 2013

Published: 22 February 2013

Keywords