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The four states of the Massless neutrino with pauli coupling by Spin-Gauge invariance

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Abstract

The Pauli coupling \(a\bar \psi \sigma ^{uv} \psi F_{uv} \) is introduced for four-component neutrino states and related to local T 4⊂SU(2,2) spin-gauge (not internal symmetry) transformations applied to the massless Dirac equation. The well-known left-right asymmetry for free neutrino helicity states is generalised and discussed for Pauli-coupled neutrinos. An explicit exact solution is obtained for Pauli-coupled neutrino equations in an external free radiation field by the use of the above local spin-gauge transformations. It is also suggested that local SL(2, C)⊂SU(2,2) spin-gauge transformations can be used to obtain models of neutral currents for neutrinos.

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Author notes

  1. A. O. Barut

    Present address: Dept. of Physics, University of Colorado, 80309, Boulder, CO, USA

Authors and Affiliations

  1. Mathematical Institute, University of Kent, CT2 7NF, Canterbury, Kent, UK

    A. O. Barut & J. McEwan

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  1. A. O. Barut
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  2. J. McEwan
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Barut, A.O., McEwan, J. The four states of the Massless neutrino with pauli coupling by Spin-Gauge invariance. Lett Math Phys 11, 67–72 (1986). https://doi.org/10.1007/BF00417466

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  • DOI: https://doi.org/10.1007/BF00417466

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