| Автор | Joakim Hallin |
| Дата выпуска | 1994-07-01 |
| dc.description | We consider the Yang--Mills phase space on a cylindrical spacetime () and the associated algebra of gauge-invariant functions, the T-variables. We solve the Mandelstam identities both classically and quantum mechanically by considering the T-variables as functions of the eigenvalues of the holonomy and their associated momenta. It is shown that there are two inequivalent representations of the quantum T-algebra. Then we compare this reduced phase-space approach to Dirac quantization and find it gives essentially equivalent results. We proceed to define a loop representation in each of these two cases. One of these loop representations (for N=2) is more or less equivalent to the usual loop representation. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Representations of the SU(N) T-algebra and the loop representation in 1 + 1 dimensions |
| Тип | paper |
| DOI | 10.1088/0264-9381/11/7/005 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 11 |
| Первая страница | 1615 |
| Последняя страница | 1629 |
| Аффилиация | Joakim Hallin; Institute of Theoretical Physics, Chalmers University of Technology and University of Göteborg, S-412 96 Göteborg, Sweden |
| Выпуск | 7 |
