Zero Mode Problem of Liouville Field Theory
| dc.creator | Jorjadze, George | |
| dc.creator | Weigt, Gerhard | |
| dc.date | 2002-07-04 | |
| dc.date | 2003-02-27 | |
| dc.date.accessioned | 2026-07-07T04:13:48Z | |
| dc.date.available | 2026-07-07T04:13:48Z | |
| dc.description | We quantise canonical free-field zero modes $p$, $q$ on a half-plane $p>0$ both, for the Liouville field theory and its reduced Liouville particle dynamics. We describe the particle dynamics in detail, calculate one-point functions of particle vertex operators, deduce their zero mode realisation on the half-plane, and prove that the particle vertex operators act self-adjointly on a Hilbert space $L^2(\rr_+)$ on account of symmetries generated by the $S$-matrix. Similarly, self-adjointness of the corresponding vertex operator of Liouville field theory in the zero mode sector is obtained by applying the Liouville reflection amplitude, which is derived by the operator method. | |
| dc.description | 25 pages, latex, 4 figures, chap. 3.2 extended, chap. 3.3 new, former chap. 3.3 as App. E | |
| dc.identifier | https://arxiv.org/abs/hep-th/0207041 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0207041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51395 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Zero Mode Problem of Liouville Field Theory | |
| dc.type | text |