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Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions

Title
Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions
Authors
Ahn C.Nepomechie R.I.Suzuki J.
Ewha Authors
안창림
SCOPUS Author ID
안창림scopus
Issue Date
2007
Journal Title
Nuclear Physics B
ISSN
0550-3213JCR Link
Citation
vol. 767, no. 3, pp. 250 - 294
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
Starting from the Bethe Ansatz solution of the open integrable spin-1 XXZ quantum spin chain with diagonal boundary terms, we derive a set of nonlinear integral equations (NLIEs), which we propose to describe the boundary supersymmetric sine-Gordon model BSSG + with Dirichlet boundary conditions on a finite interval. We compute the corresponding boundary S matrix, and find that it coincides with the one proposed by Bajnok, Palla and Takács for the Dirichlet BSSG + model. We derive a relation between the (UV) parameters in the boundary conditions and the (IR) parameters in the boundary S matrix. By computing the boundary vacuum energy, we determine a previously unknown parameter in the scattering theory. We solve the NLIEs numerically for intermediate values of the interval length, and find agreement with our analytical result for the effective central charge in the UV limit and with boundary conformal perturbation theory. © 2007 Elsevier B.V. All rights reserved.
DOI
10.1016/j.nuclphysb.2007.01.001
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자연과학대학 > 물리학전공 > Journal papers
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