A tensor interpretation of the 2D Dirac equation
| dc.creator | Vassiliev, Dmitri | |
| dc.date | 2000-06-17 | |
| dc.date.accessioned | 2026-07-07T04:27:51Z | |
| dc.date.available | 2026-07-07T04:27:51Z | |
| dc.description | We consider the Dirac equation in flat Minkowski 3-space and rewrite it as the Maxwell equation in Minkowski 4-space with torsion. The torsion tensor is defined as the dual of the electromagnetic vector potential. Our model clearly distinguishes the electron and the positron without resorting to "negative frequencies": we produce a real scalar invariant (charge) which indicates whether we are looking at an electron or a positron. Another interesting feature of our model is that the free electron and positron are identified with gradient type solutions of the standard (torsion free) Maxwell equation; such solutions have traditionally been disregarded on the grounds of gauge invariance. | |
| dc.description | 11 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math-ph/0006019 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0006019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56572 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.subject | 81T99 (Primary) 53A99 (Secondary) | |
| dc.title | A tensor interpretation of the 2D Dirac equation | |
| dc.type | text |