Dirac-K\"ahler Equation (Review)
Abstract
Tensor and matrix formulations of Dirac-K\"ahler equation for massive and massless fields are considered. The equation matrices obtained are simple linear combinations of matrix elements in the 16-dimensional space. The projection matrix-dyads defining all the 16 independent equation solutions are found. A method of computing the traces of 16-dimensional Petiau-Duffin-Kemmer matrix product is considered. It is shown that the symmetry group of the Dirac-K\"ahler tensor fields is SO(4,2). The conservation currents corresponding this symmetry are constructed. Supersymmetry of the Dirac-K\"ahler fields with tensor and spinor parameters is analyzed. We show the possibility of constructing a gauge model of interacting Dirac-K\"ahler fields where the gauge group is the noncompact group under consideration.
Cite
@article{arxiv.hep-th/0110060,
title = {Dirac-K\"ahler Equation (Review)},
author = {S. I. Kruglov},
journal= {arXiv preprint arXiv:hep-th/0110060},
year = {2011}
}
Comments
34 pages, LaTeX