Calculating the Fierz Transformation for Higher Orders

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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6 pages, 3 tables

Scientific paper

10.1006/jcph.2001.6727

We consider the higher-order Fierz transformation, which corresponds to
expanding a product of $\bar\psi\Gamma\psi$ terms into a sum of products of
Dirac densities and currents. It is shown that the Fierz transformation can be
obtained by solving a large system of linear equations with fractional complex
coefficients, which is practical at least up to fourth power.

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