Polynomial Form Factors in the O(3) Nonlinear sigma-Model

Abstract

We study the general structure of Smirnov's axioms on form factors of local operators in integrable models. We find various consistency conditions that the form factor functions have to satisfy. For the special case of the $O(3)$ $\sigma$-model we construct simple polynomial solutions for the operators of the spin-field, current, energy-momentum tensor and topological charge density.

11 pages, plain LaTeX, KFKI-1994-10/A

References in corpus (2)

• Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
• Two-point Correlation Function in Integrable QFT with Anti-Crossing Symmetry

Cited by in corpus (11)

• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Off-Shell Dynamics of the O(3) Nonlinear Sigma-Model -- Beyond Monte-Carlo and Perturbation Theory
• On Form Factors in nested Bethe Ansatz systems
• Exact form factors of the O(N) $\sigma$-model
• Perturbative versus Non-perturbative QFT -- Lessons from the O(3) NLS Model
• An Algebraic Approach to Form Factors
• The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations
• The Form Factors in the Sinh-Gordon Model
• Test of asymptotic freedom and scaling hypothesis in the 2d O(3) sigma model