We derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schodinger equations (of Lame' type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed.

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions / Mussardo, G.; Riva, V.; Sotkov, G.. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 705:3(2005), pp. 548-562. [10.1016/j.nuclphysb.2004.10.061]

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions

Mussardo, G.;Riva, V.;
2005-01-01

Abstract

We derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schodinger equations (of Lame' type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed.
2005
705
3
548
562
https://arxiv.org/abs/hep-th/0406246
Mussardo, G.; Riva, V.; Sotkov, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12724
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