Quantum sine(h)-Gordon model and classical integrable equations

S. L. Lukyanov, A. B. Zamolodchikov

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47 Scopus citations


We study a family of classical solutions of modified sinh-Gordon equation, ∂zz̄η - e + p(z) p(z̄) e-2η = 0 with p(z) = z - s. We show that certain connection coefficients for solutions of the associated linear problem coincide with the Q-function of the quantum sine-Gordon (α > 0) or sinh-Gordon (α < - 1) models.

Original languageEnglish (US)
Article number8
JournalJournal of High Energy Physics
Issue number7
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Bethe ansatz
  • Field theories in lower dimensions
  • Integrable equations in physics
  • Integrable field theories


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