A pseudoclassical model for P, Tinvariant planar fermions
Abstract
A pseudoclassical model is proposed for the description of planar P, Tinvariant massive fermions. The quantization of the model leads to the (2+1)dimensional P, Tinvariant fermion model used recently in P, Tconserving theories of high T_{c} superconductors. The rich symmetry of the quantum model is elucidated through the analysis of the canonical structure of its pseudoclassical counterpart. We show that both the quantum P, Tinvariant planar massive fermion model and the proposed pseudoclassical model  for a particular choice of the parameter appearing in the Lagrangian  have a U(1,1) dynamical symmetry as well as an N = 3 supersymmetry. The hidden supersymmetry leads to a nonstandard superextension of the (2+1)dimensional Poincaré group. In the quantum theory the oneparticle states provide an irreducible representation of the extended supergroup labelled by the zero eigenvalue of the superspin. We discuss the gauge modification of the pseudoclassical model and compare our results with those obtained from the standard pseudoclassical model for massive planar fermions.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)000624
 arXiv:
 arXiv:hepth/9511072
 Bibcode:
 1996NuPhB.464..189G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages, LaTeX, minor stylistic corrections, to appear in Nucl. Phys. B