Roaming form factors for the tricritical to critical Ising flow

Abstract

We study the massless flows described by the staircase model introduced by Al.B. Zamolodchikov through the analytic continuation of the sinh-Gordon S-matrix, focusing on the renormalisation group flow from the tricritical to the critical Ising model. We show that the properly defined roaming limits of certain sinh-Gordon form factors are identical to the form factors of the order and disorder operators for the massless flow. As a by-product, we also construct form factors for a semi-local field in the sinh-Gordon model, which can be associated with the twist field in the ultraviolet limiting free massless bosonic theory.

arXiv comment23 pages, Latex2e file. v2: published version, clarifications added, typos corrected

References in corpus (14)

• Exact expectation values of local fields in quantum sine-Gordon model
• On the Operator Content of the Sinh-Gordon Model
• Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
• Asymptotic factorisation of form factors in two-dimensional quantum field theory
• The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at $T=T_c$
• Dynkin TBA's
• Massless Flows II: the exact S-matrix approach
• Massless Flows I: the sine-Gordon and O(n) models
• Renormalization group trajectories from resonance factorized S-matrices
• Mapping between the Sinh-Gordon and Ising Models
• Generalising the staircase models
• Staircase Models from Affine Toda Field Theory
• Multiple Crossover Phenomena and Scale Hopping in Two Dimensions
• Form factor relocalisation and interpolating renormalisation group flows from the staircase model

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• On the Hydrodynamics of Unstable Excitations
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• The Staircase Model: Massless Flows and Hydrodynamics
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover