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Article detail · 2015

Wigner–Souriau translations and Lorentz symmetry of chiral fermions

Physics Letters B

YÖKSİS OpenAlex Open access · diamond SJR Q1 JCR Q1 Citations 42 Top 10% Percentile 94.3% FWCI 4.15
Year
2015
ISSN
0370-2693
Type
article

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Abstract

English (OpenAlex)

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 Poincaré group, whereas the natural Poincaré action corresponds to action on the left.

Topics

  • Noncommutative and Quantum Gravity Theories
  • Black Holes and Theoretical Physics
  • Quantum Chromodynamics and Particle Interactions

Primary topic Noncommutative and Quantum Gravity Theories

Authors

  1. CHRISTIAN DUVAL
  2. MAHMUT ELBİSTAN İSTANBUL BİLGİ ÜNİVERSİTESİ
  3. PETER A. HORVATHY
  4. PENGMING ZHANG