Dirac-KÄhler Equation
| dc.creator | Kruglov, S. I. | |
| dc.date | 2001-10-27 | |
| dc.date | 2003-04-07 | |
| dc.date.accessioned | 2026-07-07T04:12:34Z | |
| dc.date.available | 2026-07-07T04:12:34Z | |
| dc.description | Tensor, matrix and quaternion formulations of Dirac-Kähler 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. We show that the symmetry group of the Dirac-Kähler tensor fields for charged particles is SO(4,2). The conservation currents corresponding this symmetry are constructed. We analyze transformations of the Lorentz group and quaternion fields. Supersymmetry of the Dirac-Kähler fields with tensor and spinor parameters is investigated. We show the possibility of constructing a gauge model of interacting Dirac-Kähler fields where the gauge group is the noncompact group under consideration. | |
| dc.description | 42 pages, LaTeX. Corrections in Eqs. (29), (88), (99). Extended version of hep-th/0110060 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0110251 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0110251 | |
| dc.identifier | Int. J. Theor. Phys. 41 (2002) 653-687 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50948 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Dirac-KÄhler Equation | |
| dc.type | text |