Hidden Grassmann structure in the XXZ model V: sine-Gordon model

Abstract

We study one-point functions of the sine-Gordon model on a cylinder. Our approach is based on a fermionic description of the space of descendent fields, developed in our previous works for conformal field theory and the sine-Gordon model on the plane. In the present paper we make an essential addition by giving a connection between various primary fields in terms of yet another kind of fermions. The one-point functions of primary fields and descendants are expressed in terms of a single function defined via the data from the thermodynamic Bethe Ansatz equations.

36 pages. Some corrections are done in latest version, especially in the subsection 10.3

References in corpus (4)

• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Hidden Grassmann structure in the XXZ model
• Hidden Grassmann Structure in the XXZ Model IV: CFT limit
• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field

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