Polarization Vectors, Doublet Structure and Wigner's Little Group in Planar Field Theory

Details Polarization Vectors, Doublet Structure and Wigner's Little Group in Planar Field Theory Polarization Vectors, Doublet Structure and Wigner's Little Group in Planar Field Theory

2000-11-02

arxiv.org/abs/hep-th/0011011v1

Int.J.Mod.Phys. A16 (2001) 3967-3989

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 30 pages, no figures

Scientific paper

10.1142/S0217751X01005092

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.

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