Is the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ?
| dc.creator | Faber, M. | |
| dc.creator | Ivanov, A. N. | |
| dc.date | 2002-05-23 | |
| dc.date | 2003-06-02 | |
| dc.date.accessioned | 2026-07-07T11:48:01Z | |
| dc.date.available | 2026-07-07T11:48:01Z | |
| dc.description | We discuss Coleman's theorem concerning the energy density of the ground state of the sine-Gordon model proved in Phys. Rev. D 11, 2088 (1975). According to this theorem the energy density of the ground state of the sine-Gordon model should be unbounded from below for coupling constants beta^2 > 8 pi. The consequence of this theorem would be the non-existence of the quantum ground state of the sine-Gordon model for beta^2 > 8 pi. We show that the energy density of the ground state in the sine-Gordon model is bounded from below even for beta^2 > 8 pi. This result is discussed in relation to Coleman's theorem (Comm. Math. Phys. 31, 259 (1973)), particle mass spectra and soliton-soliton scattering in the sine-Gordon model. | |
| dc.description | 22 pages, Latex, no figures, revised according to the version accepted for publication in Journal of Physics A | |
| dc.identifier | https://arxiv.org/abs/hep-th/0205249 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0205249 | |
| dc.identifier | J.Phys.A36:7839,2003 | |
| dc.identifier | doi:10.1088/0305-4470/36/28/312 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202777 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Is the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ? | |
| dc.type | text |