Exact form factors in integrable quantum field theories: the scaling Z(N)-Ising model

Abstract

A general form factor formula for the scaling Z(N)-Ising model is constructed. Exact expressions for matrix elements are obtained for several local operators. In addition, the commutation rules for order, disorder parameters and para-Fermi fields are derived. Because of the unusual statistics of the fields, the quantum field theory seems to be not related to any classical Lagrangian or field equation.

arXiv comment36 pages

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• Summing Planar Diagrams by an Integrable Bootstrap II
• On the space of quantum fields in massive two-dimensional theories
• Correlation functions of disorder fields and parafermionic currents in Z(N) Ising models
• Wedge-local fields in integrable models with bound states
• A critical look at 50 years particle theory from the perspective of the crossing property
• The foundational origin of integrability in quantum field theory
• The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations
• Probing Strong Correlations with Light Scattering: the Example of the Quantum Ising model
• Quantum energy inequalities in integrable models with several particle species and bound states
• Multipoint Green's functions in 1+1 dimensional integrable quantum field theories
• Wedge-local fields in integrable models with bound states II. Diagonal S-matrix
• The power of AQFT: the area law for entropy of localized quantum matter
• Title Positivity and Integrability (Mathematical Physics at the FU-Berlin)
• Lee-Yang Model in Presence of Defects
• Asymptotic factorization of n-particle SU(N) form factors
• Numerical results on Quantum Energy Inequalities in Integrable Models at the Two-Particle level