Chiral fermions, massless particles and Poincare covariance

Andrzejewski, Krzysztof; Kijanka-Dec, Agnieszka; Kosiński, Piotr; Maślanka, P.

doi:10.48550/arxiv.1503.07101

Cited by 1 publication

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“…The difference comes from the different choice of what one considers as "position": the cmodel is coupled to the e.m. field by viewing x in (2.1) as a position [1][2][3][4][5], with no attention paid at its "twisted" behavior under a Lorentz boost [6,[8][9][10]. In the S-model instead, the coupling is introduced in terms of the "true" position, r, which does transform in the usual way under a Lorentz boost [6].…”

Section: Discussionmentioning

confidence: 99%

“…The semiclassical chiral model (we call here the c-model ) allows for a derivation of the chiral magnetic effect and the chiral anomaly, respectively, bypassing complicated quantum calculations [1][2][3][4][5]. The free c-model, which has no genuine spin degree of freedom, carries a curious "twisted" Lorentz symmetry [6][7][8][9][10], conveniently derived by relating it to Souriau's massless spinning particle [11]. The latter (we call the S-model ), carries a mass-zero, spin-s Poincaré symmetry.…”

Section: Introductionmentioning

confidence: 99%

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Anomalous properties of spin-extended chiral fermions

Elbistan

Horváthy

2015

Physics Letters B

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The spin-extended semiclassical chiral fermion (we call the S-model), which had been used to derive the twisted Lorentz symmetry of the "spin-enslaved" chiral fermion (we call the c-model) is equivalent to the latter in the free case, however coupling to an external electromagnetic field yields nonequivalent systems. The difference is highlighted by the inconsistency of spin enslavement within the spin-extended framework. The S-model exhibits nevertheless similar though slightly different anomalous properties as the usual c-model does. The natural Poincar\'e symmetry of the free model remains unbroken if the Pfaffian invariant vanishes, i.e., when the electric and magnetic fields are orthogonal, ${\bf E}\cdot{\bf B}=0$, as in the Hall effect.Comment: Revised and extended version= 14 pages, 1 figure. The framework better explained. Some details clarified and a section on Poincare symmetry adde

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