# Essential Fierz identities for a fermionic field

@inproceedings{Dale2022EssentialFI, title={Essential Fierz identities for a fermionic field}, author={Roberto Dale and Alicia Herrero and Juan Antonio Morales-Lladosa}, year={2022} }

: For a single fermionic ﬁeld, an interpretation of the Fierz identities (which establish relations between the bilinear ﬁeld observables) is given. They appear closely related to the algebraic class (regular or singular) of the spin 2-form S associated to the spinor ﬁeld. If S (cid:54) = 0 , the Fierz identities follow from the 3+1 decomposition of the eigenvector equations for S with respect to an inertial laboratory, which makes this interpretation suitable for fermionic particle physics…

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