Form factor relocalisation and interpolating renormalisation group flows from the staircase model

Abstract

We investigate the staircase model, introduced by Aliosha Zamolodchikov through an analytic continuation of the sinh-Gordon S-matrix to describe interpolating flows between minimal models of conformal field theory in two dimensions. Applying the form factor expansion and the c-theorem, we show that the resulting c-function has the same physical content as that found by Zamolodchikov from the thermodynamic Bethe Ansatz. This turns out to be a consequence of a nontrivial underlying mechanism, which leads to an interesting localisation pattern for the spectral integrals giving the multi-particle contributions. We demonstrate several aspects of this form factor relocalisation, which suggests a novel approach to the construction of form factors and spectral sums in integrable renormalisation group flows with non-diagonal scattering.

37 pages, PDFLatex file with pdf figures

References in corpus (18)

• Exact expectation values of local fields in quantum sine-Gordon model
• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• On the Operator Content of the Sinh-Gordon Model
• Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
• Free Field Representation For Massive Integrable Models
• Asymptotic factorisation of form factors in two-dimensional quantum field theory
• Form-factors of exponential fields in the sine-Gordon model
• Dynkin TBA's
• Massless Flows II: the exact S-matrix approach
• Thermodynamic Bethe Ansatz of the Homogeneous Sine-Gordon models
• Integrable Quantum Field Theories with Unstable Particles
• Mass scales and crossover phenomena in the Homogeneous Sine-Gordon 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
• Exact g-function flows from the staircase model
• Multiple Crossover Phenomena and Scale Hopping in Two Dimensions

Cited by in corpus (5)

• Hydrodynamics of massless integrable RG flows and a non-equilibrium c-theorem
• On the Hydrodynamics of Unstable Excitations
• Roaming form factors for the tricritical to critical Ising flow
• A study of integrable form factors in massless relativistic AdS_3
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover