Is the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ?

dc.creatorFaber, M.
dc.creatorIvanov, A. N.
dc.date2002-05-23
dc.date2003-06-02
dc.date.accessioned2026-07-07T11:48:01Z
dc.date.available2026-07-07T11:48:01Z
dc.descriptionWe 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.description22 pages, Latex, no figures, revised according to the version accepted for publication in Journal of Physics A
dc.identifierhttps://arxiv.org/abs/hep-th/0205249
dc.identifierhttp://arxiv.org/abs/hep-th/0205249
dc.identifierJ.Phys.A36:7839,2003
dc.identifierdoi:10.1088/0305-4470/36/28/312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202777
dc.subjectHigh Energy Physics - Theory
dc.titleIs the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ?
dc.typetext

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