@MISC{Manko_leftand, author = {Norma Manko and C Bor}, title = {LEFT and RIGHT HANDEDNESS of FERMIONS and BOSONS}, year = {} }

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Abstract

It is shown, by using Grassmann space to describe the internal degrees of freedom of fermions and bosons, that the Weyl like equation exists not only for massless fermions but also for massless gauge bosons. The corresponding states have well defined helicity and handedness. It is also shown that spinors and gauge bosons only interact if they are of the same handedness. PACS: 04.50.+h, 11.10.Kk,11.30.-j,12.10.-g 1 Introduction. We discuss in this paper the properties of massless fermions and gauge bosons, described by the irreducible representations of the Poincar'e group. We show that massless spinor and gauge vector representations exist, induced from those of a little group, which are eigenstates of the helicity h = \Gamma! M : \Gamma! p j \Gamma! M : \Gamma! p j and the handedness \Gamma operator, with M i = 1 2 ffl ijk M jk ; i; j; k 2 f1; 2; 3g; ( M ab are the generators of the Lorentz group SO(1; 3), p a is the four momentum operator and \Gamma = \Gammai 3!...