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The spectrum of boundary sine-Gordon theory

2001/08/28 by Z. Bajnok, Bajnok, Z., L. Palla +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0108211

10 pages. To appear in the proceedings of the NATO Advanced Research Workshop on "Statistical Field Theories", Como, Italy, 18-23 June 2001. Extended version of conference talk. LaTeX2e, uses kapproc.cls. References added

openalex publication_date 2001/08/28 · arxiv created 2001/09/03 · arxiv updated 2015/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review our recent results on the on-shell description of sine-Gordon model with integrable boundary conditions. We determined the spectrum of boundary states by closing the boundary bootstrap and gave a derivation of Al.B. Zamolodchikov's (unpublished) formulae for the boundary energy and the relation between the Lagrangian (ultraviolet) and bootstrap (infrared) parameters. These results have been checked against numerical finite volume spectra coming from the truncated conformal space approach. We find an entirely consistent picture and strong evidence for the validity of the conjectured spectrum and scattering amplitudes, which together give a complete description of the boundary sine-Gordon theory on mass shell.

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