E(2)-like little group for massless particles and neutrino polarization as a consequence of gauge invariance

D. Han, Y. S. Kim, and D. Son
Phys. Rev. D 26, 3717 – Published 15 December 1982
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Abstract

The content of the isomorphism between the two-dimensional Euclidean group and the E(2)-like little group for massless particles is studied in detail. Representations of the E(2) group are explicitly constructed. The finite-dimensional representations which correspond to physical massless particles are discussed in detail, particularly for the cases of spin 1 and ½. For photons, the little-group transformation matrix is reduced to the transpose of the coordinate transformation matrix in the E(2) plane. In the case of spin-½ particles, it is shown that the polarization of neutrinos is a consequence of the requirement of gauge invariance.

  • Received 18 January 1982

DOI:https://doi.org/10.1103/PhysRevD.26.3717

©1982 American Physical Society

Authors & Affiliations

D. Han

  • Systems and Applied Sciences Corporation, Riverdale, Maryland 20737

Y. S. Kim and D. Son

  • Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

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Issue

Vol. 26, Iss. 12 — 15 December 1982

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