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The Dirac matrix group and Fierz transformations

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Abstract

The representation theory of the group generated by the Dirac matrices is studied. It is shown that the Fierz transformation can be expressed in terms of Racah coefficients of this group. A number of generalized Fierz transformations have been found. Simple rules are given for calculating Fierz invariants and anti-invariants.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Groningen, The Netherlands

    E. de Vries & A. J. van Zanten

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  1. E. de Vries
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  2. A. J. van Zanten
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de Vries, E., van Zanten, A.J. The Dirac matrix group and Fierz transformations. Commun.Math. Phys. 17, 322–342 (1970). https://doi.org/10.1007/BF01646028

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  • DOI: https://doi.org/10.1007/BF01646028

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