Quantum and classical integrable sine-Gordon model with defect

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dc.creatorHabibullin, Ismagil
dc.creatorKundu, Anjan
dc.date2007-09-28
dc.date2007-11-07
dc.date.accessioned2026-07-07T11:19:39Z
dc.date.available2026-07-07T11:19:39Z
dc.descriptionDefects which are predominant in a realistic model, usually spoil its integrability or solvability. We on the other hand show the exact integrability of a known sine-Gordon field model with a defect (DSG), at the classical as well as at the quantum level based on the Yang-Baxter equation. We find the associated classical and quantum R-matrices and the underlying q-algebraic structures, analyzing the exact lattice regularized model. We derive algorithmically all higher conserved quantities $C_n, n=1,2,...$ of this integrable DSG model, focusing explicitly on the contribution of the defect point to each $C_n$. The bridging condition across the defect, defined through the Bäcklund transformation is found to induce creation or annihilation of a soliton by the defect point or its preservation with a phase shift.
dc.description18 pages, 3 figures, latex. Sect. 4 is revised for needed generalization for the boundary condition of the field
dc.identifierhttps://arxiv.org/abs/0709.4611
dc.identifierhttp://arxiv.org/abs/0709.4611
dc.identifierNucl.Phys.B795:549-568,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.11.022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193755
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectExactly Solvable and Integrable Systems
dc.titleQuantum and classical integrable sine-Gordon model with defect
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