Hamiltonian Solution of the Schwinger Model with Compact U(1)
| dc.creator | Linares, Román | |
| dc.creator | Urrutia, Luis F. | |
| dc.creator | Vergara, J. David | |
| dc.date | 2000-10-13 | |
| dc.date.accessioned | 2026-07-07T04:10:43Z | |
| dc.date.available | 2026-07-07T04:10:43Z | |
| dc.description | The complete exact solution of the Schwinger model with compact gauge group U(1), in the Hamiltonian approach, is presented . The compactification is imposed by demanding that the only surviving true electromagnetic degree of freedom has angular character. Not surprinsingly, this topological condition defines a version of the Schwinger model which is different from the standard one, where $c$ takes values on the line . The main consequences are: the spectra of the zero modes is not degenerated and does not correspond to the equally spaced harmonic oscillator, both the electric charge and a modified gauge invariant chiral charge are conserved (nevertheless, the axial-current anomaly is still present) and, finally, there is no need to introduce a $θ$-vacuum. A comparison with the results of the standard Schwinger model is pointed out along the text. | |
| dc.description | 34 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0010114 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0010114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50307 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Hamiltonian Solution of the Schwinger Model with Compact U(1) | |
| dc.type | text |