English

Note on Dirac--K\"ahler massless fields

High Energy Physics - Theory 2011-03-04 v4 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

We obtain the canonical and symmetrical Belinfante energy-momentum tensors of Dirac--K\"{a}hler's fields. It is shown that the traces of the energy-momentum tensors are not equal to zero. We find the canonical and Belinfante dilatation currents which are not conserved, but a new conserved dilatation current is obtained. It is pointed out that the conformal symmetry is broken. The canonical quantization is performed and the propagator of the massless fields in the first-order formalism is found.

Cite

@article{arxiv.0911.0442,
  title  = {Note on Dirac--K\"ahler massless fields},
  author = {S. I. Kruglov},
  journal= {arXiv preprint arXiv:0911.0442},
  year   = {2011}
}

Comments

16 pages, minor corrections in the text, published version

R2 v1 2026-06-21T14:06:38.387Z