Sine-Gordon breather form factors and quantum field equations

  title={Sine-Gordon breather form factors and quantum field equations},
  author={Hrachya M. Babujian and Michael Karowski},
  journal={Journal of Physics A},
Using the results of previous investigations on sine-Gordon form factors, exact expressions of all breather matrix elements are obtained for several operators: all powers of the fundamental Bose field, general exponentials of it, the energy–momentum tensor and all higher currents. Formulae for the asymptotic behaviour of bosonic form factors are presented which are motivated by Weinberg's power counting theorem in perturbation theory. It is found that the quantum sine-Gordon field equation… 

Figures from this paper

Branch point twist field form factors in the sine-Gordon model I: Breather fusion and entanglement dynamics
The quantum sine-Gordon model is the simplest massive interacting integrable quantum field theory whose two-particle scattering matrix is generally non-diagonal. As such, it is a model that has been
Form factors of descendant operators: free field construction and reflection relations
The free field representation for form factors in the sinh-Gordon model and the sine-Gordon model in the breather sector are modified to describe the form factors of descendant operators, which are
On the form factors of local operators in the lattice sine–Gordon model
We develop a method for computing form factors of local operators in the framework of Sklyanin’s separation of variables (SOV) approach to quantum integrable systems. For that purpose, we consider
Wedge-local observables in the deformed sine-Gordon model
In the bootstrap approach to integrable quantum field theories in the (1+1)-dimensional Minkowski space, one conjectures the two-particle S-matrix and tries to study local observables. The massless
Form factors of descendant operators: resonance identities in the sinh-Gordon model
A bstractWe study the space of local operators in the sinh-Gordon model in the framework of the bootstrap form factor approach. Our final goal is to identify the operators obtained by solving
Bootstrap approach to 1+1 dimensional integrable quantum field theories: the case of the Sinh-Gordon model
1+1 dimensional integrable quantum field theories correspond to a sparse subset of quantum field theories where the calculation of physically interesting observables can be brought to explicit,
Quantum quenches in the sinh-Gordon model: steady state and one-point correlation functions
We consider quantum quenches to the sinh-Gordon integrable quantum field theory from a particular class of initial states. Our analysis includes the case of mass and interaction quenches starting
Resonances in sinh- and sine-Gordon models and higher equations of motion in Liouville theory
The notion of operator resonances was previously introduced by Al Zamolodchikov within the framework of the conformal perturbation theory. The resonances are related to logarithmic divergences of


Stress - energy tensor and ultraviolet behavior in massive integrable quantum field theories
The short distance behavior of massive integrable quantum field theories is analyzed in terms of the form factor approach. We show that the on-shell dynamics is compatible with different definitions
Yang-Baxter algebra — Bethe Ansatz — conformal quantum field theories — quantum groups
This report is based on investigations [1,2] of six-vertex models by means of Bethe ansatz methods. A review on applications of Yang-Baxter algebras and the algebraic Bethe ansatz is presented. A
Form Factors in Completely Integrable Models of Quantum Field Theory
Completely integrable models of quantum field theory the space of physical states the necessary properties of form factors the local commutativity theorem soliton form factors in SG model the