Polarization Vectors, Doublet Structure and Wigner's Little Group in Planar Field Theory
arXiv:hep-th/0011011 · doi:10.1142/S0217751X01005092
Abstract
We establish the equivalence of the Maxwell-Chern-Simons-Proca model to a doublet of Maxwell-Chern-Simons models at the level of polarization vectors of the basic fields using both Lagrangian and Hamiltonian formalisms. The analysis reveals a U(1) invariance of the polarization vectors in the momentum space. Its implications are discussed. We also study the role of Wigner's little group as a generator of gauge transformations in three space-time dimensions.
LaTex, 30 pages, no figures