Identifying the Operator Content, the Homogeneous Sine-Gordon models

Abstract

We address the general question of how to reconstruct the field content of a quantum field theory from a given scattering theory in the context of the form factor program. For the $SU(3{)}_2$-homogeneous Sine-Gordon model we construct systematically all $n$-particle form factors for a huge class of operators in terms of general determinant formulae. We investigate how different operators are interrelated by the momentum space cluster property. Finally we compute several two-point correlation functions and carry out the ultraviolet limit in order to identify each operator with its corresponding partner in the underlying conformal field theory.

25 pages Latex, 4 figures, minor changes

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• Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
• Higher particle form factors of branch point twist fields in integrable quantum field theories
• Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point
• Form factors from free fermionic Fock fields, the Federbush model
• Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples
• Exact mass-coupling relation for the homogeneous sine-Gordon model
• Constructing Infinite Particle Spectra
• On the Hydrodynamics of Unstable Excitations
• On the mass-coupling relation of multi-scale quantum integrable models
• Multicharged Dyonic Integrable Models
• Liouville field theory coupled to a critical Ising model: Non-perturbative analysis, duality and applications
• Supersymmetric integrable scattering theories with unstable particles
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
• Explicit boundary form factors: the scaling Lee-Yang model
• Generalised Hydrodynamics of Particle Creation and Decay
• Mutually local fields from form factors
• Tails of Instability and Decay: a Hydrodynamic Perspective
• Scaling functions from q-deformed Virasoro characters
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Thermodynamic Bethe ansatz and form factors for the homogeneous sine-Gordon models