Self/anti-self charge conjugate states in the helicity basis
Abstract
We construct self/anti-self charge conjugate (Majorana-like) states for the (1/2,0)+(0,1/2) representation of the Lorentz group, and their analogs for higher spins within the quantum field theory. The problem of the basis rotations and that of the selection of phases in the Dirac-like and Majorana-like field operators are considered. The discrete symmetries properties (P, C, T) are studied. Particular attention has been paid to the question of (anti)commutation of the Charge conjugation operator and the Parity in the helicity basis. Dynamical equations have also been presented. In the (1/2,0)+(0,1/2) representation they obey the Dirac-like equation with eight components, which has been first introduced by Markov. Thus, the Fock space for corresponding quantum fields is doubled (as shown by Ziino). The chirality and the helicity for Dirac and Majorana states have been discussed. PACS: 11.30.Cp, 11.30.Er, 11.30.Ly Keywords: Lorentz Group, Neutral Particles, Helicity Basis
Keywords
Cite
@article{arxiv.1307.7124,
title = {Self/anti-self charge conjugate states in the helicity basis},
author = {Valeriy V. Dvoeglazov},
journal= {arXiv preprint arXiv:1307.7124},
year = {2013}
}
Comments
4 pp. To be published in the AIP Proceedings. Talks given at the MG13, July 2012, Stockholm, Sweden; LC2012, July 2012, Krakow, Poland; IX Mexican School DGFM-SMF, Dec. 2012, Puerta Vallarta, Mexico. Also presented at the LV Congreso Nacional de Fisica, Oct. 2012, Morelia, Mexico; slightly different version in Acta Phys. Polon. Suppl. 6 (2013), pp. 65-70