by F A Smirnov (Steklov Mathematical Institute)

The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. Particularly, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models. General requirements on form factors are formulated and explicit formulas for form factors of most fundamental local operators are presented for the above mentioned models.

• Completely Integrable Models of Quantum Field Theory
• The Space of Physical States
• The Necessary Properties of Form Factors
• The Local Commutativity Theorem
• Soliton Form Factors in SG Model
• The Main Properties of the Soliton Form Factors
• Breathers Form Factors in SG Model
• Properties of the Operators j_μ, T_μν, exp(± iβu/2) in SG Model
• Form Factors in SU(2)-Invariant Thirring Model
• Form Factors in O(3)-Nonlinear σ-model
• Asymptotics of Form Factors
• Current Algebras
• Form Factors in SU(N) — Invariant Thirring Model (SU(N) Chiral Gross-Neveu Model)
• Phenomenological Reasonings