Year: 2023
Type: article
Abstract: 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 ≠ 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 models. When S = 0, the Fierz identities reduce to three constraints on the current densities associated with the spinor field, saying that they are orthogonal, equimodular, the vector current being time-like and the axial one being space-like.
Source: Physica Scripta
Authors: Roberto Dale, Alicia Herrero, Juan Antonio Morales-Lladosa
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,220
OpenAlex ID: W4382049776