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Chiral fermions as classical massless spinning particles

Abstract : Semiclassical chiral fermion models with "Berry term" are studied in a symplectic framework. In the free case, the system proposed by Stephanov and Yin [1] can be obtained from Souriau's model for a relativistic massless spinning particle [2] by "enslaving the spin". The "Berry term" is identified with the classical spin two-form in [2]. The Souriau model carries a natural Poincare symmetry that we highlight, but boosts are broken by "spin enslavement". The relation between the models allows us to derive nevertheless a Poincare symmetry of an unconventional form for [1], which is shown to act differently from the natural one carried by the model [2]. Then we propose a general coupling procedure to an external electromagnetic field for any value of the gyromagnetic ratio $g$. For $g=0$ we get curious superluminal Hall-type motions, and for $g=2$ we recover spin precession. Our coupled theory is reminiscent of but different from other previously proposed ones.
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Submitted on : Wednesday, June 25, 2014 - 6:16:46 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:08 PM

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Christian Duval, P. A. Horvathy. Chiral fermions as classical massless spinning particles. Physical Review D, American Physical Society, 2015, 91 (4), pp.045013. ⟨10.1103/PhysRevD.91.045013⟩. ⟨hal-01015128⟩



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