Wigner–Souriau translations and Lorentz symmetry of chiral fermions

Abstract : Chiral fermions can be embedded into Souriau's massless spinning particle model by "enslaving" the spin, viewed as a gauge constraint. The latter is not invariant under Lorentz boosts; spin enslavement can be restored, however, by a Wigner-Souriau (WS) translation, analogous to a compensating gauge transformation. The combined transformation is precisely the recently uncovered twisted boost, which we now extend to finite transformations. WS-translations are identified with the stability group of a motion acting on the right on the Poincare group, whereas the natural Poincare action corresponds to action on the left;
Keywords : ELECTRON
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Christian Duval, M Elbistan, P.A. Horváthy, P.-M Zhang. Wigner–Souriau translations and Lorentz symmetry of chiral fermions. Physics Letters B, Elsevier, 2015, 742, pp.322-326. ⟨10.1016/j.physletb.2015.01.048⟩. ⟨hal-01218185⟩

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