Polarization Vectors, Doublet Structure and Wigner's Little Group in Planar Field Theory
High Energy Physics - Theory
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0011011,
title = {Polarization Vectors, Doublet Structure and Wigner's Little Group in Planar Field Theory},
author = {Rabin Banerjee and Biswajit Chakraborty and Tomy Scaria},
journal= {arXiv preprint arXiv:hep-th/0011011},
year = {2009}
}
Comments
LaTex, 30 pages, no figures