Form factors of soliton-creating operators in the sine-Gordon model

2001/02/28 by Sergei Lukyanov, S. Lukyanov, A. Zamolodchikov +1 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #cond-mat #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/s0550-3213(01)00262-0

published as Nucl.Phys. B607 (2001) 437-455 · 20 pages, 2 figures, harvmac.tex, references added

arxiv created 2001/03/14 · openalex publication_date 2001/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or soliton-creating) operators in the sine-Gordon model. The normalization constants, which constitute the main content of our proposal, allow one to find exact relations between the short- and long-distance asymptotics of the correlation functions. We make predictions concerning asymptotics of fermion correlation functions in the massive Thirring model, SU(2)-Thirring model with anisotropy, and in the half-filled Hubbard chain.

Citations

• An elliptic quantum algebra for \widehats1₂ 2
• SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model
• Expectation values of descendent fields in the sine-Gordon model

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