High Energy Particle Physics

   

Proof of Massless Particles Only Having Two Helicity One-particle States

Authors: LIU Changli, GE Fengjun

Why massless particles, for example photons, can only have two helicity one-particle states is the main subject of this work. As we know, the little group which describes massive particle one-particle states' transformations under the Lorentz transformation is SO(3), while the little group describing massless states is ISO(2). In this paper, a new method is proposed to contract SO(3) group to ISO(2) group. We use this contraction method to prove that the particle can only have two helicity one-particle states from the perspective of \emph{kinematics}, when the particle mass trends to zero. Our proof is different from the dynamic explanation in the existing theories.

Comments: 4 Pages.

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Submission history

[v1] 2014-03-03 15:53:20

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