- 12-118 Valeriy V. Dvoeglazov (Universidad de Zacatecas)
- How to construct self/anti-self charge conjugate states for higher spins?
Oct 7, 12
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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 Diraclike
and Majorana-like field operators are considered. The discrete symmetries properties (P, C,
T) are studied. The corresponding dynamical equations are 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 particular attention has been paid to the questions of chirality and helicity (two
concepts which are frequently confused in the literature) for Dirac and Majorana states. We further
review several experimental consequences which follow from the previous works of M.Kirchbach
et al. on neutrinoless double beta decay, and G.J.Ni et al. on meson lifetimes.