Reflection Relations and Fermionic Basis

@article{Negro2013ReflectionRA,
  title={Reflection Relations and Fermionic Basis},
  author={Stefano Negro and F Smirnov},
  journal={Letters in Mathematical Physics},
  year={2013},
  volume={103},
  pages={1293-1311}
}
There are two approaches to computing the one-point functions for sine-Gordon model in infinite volume. One is based on the use of the reflection relations, this is a bootstrap type procedure. Another is based on using the fermionic basis which originated in the study of lattice model. We show that the two procedures are deeply interrelated. 
View on Springer
arxiv.org
10 Citations
Background Citations
4
Methods Citations
2

10 Citations

One point functions of fermionic operators in the super sine Gordon model

On sinh–Gordon thermodynamic Bethe ansatz and fermionic basis

We review the construction of the fermionic basis for sinh–Gordon model and investigate numerically the ultraviolet limit of the one-point functions. We then compare the predictions obtained from…

On one-point functions for sinh-Gordon model at finite temperature

Diagonal finite volume matrix elements in the sinh-Gordon model

New results on integrable structure of conformal field theory

We explain how to incorporate the action of local integrals of motion into the fermionic basis for the sine-Gordon model and its UV conformal field theory. Examples are presented up to level 4.…

Creation operators for the Fateev-Zamolodchikov spin chain

In previous works, we studied the problem of constructing a basis in the space of local operators for an anisotropic XXZ spin chain with spin 1/2 such that the vacuum expectation values have a simple…

ODE/IM Correspondence in Toda Field Theories and Fermionic Basis in sin(h)-Gordon Model

The first part of this work consists of a study of the ODE/IM correspondence for simply-laced affine Toda field theories. It is a first step towards a full generalisation of the results of Lukyanov…

On space of integrable quantum field theories

On consistency of perturbed generalised minimal models

We consider the massive {perturbation} of the Generalised Minimal Model introduced by Al. Zamolodchikov. The one-point functions in this case are supposed to be described by certain function…

Flow Equations for Generalized TT[over ¯] Deformations.

We consider the most general set of integrable deformations extending the TT[over ¯] deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theory's factorized S matrix…

References

SHOWING 1-10 OF 23 REFERENCES

On one-point functions of descendants in sine-Gordon model

We apply the fermionic description of CFT obtained in our previous work to the computation of the one-point functions of the descendant fields in the sine-Gordon model.

Expectation values of descendent fields in the sine-Gordon model

Hidden Grassmann Structure in the XXZ Model V: Sine-Gordon Model

We study one-point functions of the sine-Gordon model on a cylinder. Our approach is based on a fermionic description of the space of descendent fields, developed in our previous works for conformal…

Hidden Grassmann structure in the XXZ model III: introducing the Matsubara direction

We address the problem of computing temperature correlation functions of the XXZ chain, within the approach developed in our previous works. In this paper we calculate the expected values of a…

Expectation values of boundary fields in the boundary sine-Gordon model

Hidden Grassmann Structure in the XXZ Model IV: CFT Limit

The Grassmann structure of the critical XXZ spin chain is studied in the limit to conformal field theory. A new description of Virasoro Verma modules is proposed in terms of Zamolodchikov’s integrals…

Structure Constants and Conformal Bootstrap in Liouville Field Theory

Two-point correlation function in scaling Lee-Yang model

Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States

We generalize results of the paper (4) to the case of excited states taken in the so- called Matsubara direction of the lattice six vertex model. We establish an equivalence between the scaling limit…

On the thermodynamic Bethe ansatz equation in the sinh-Gordon model

Two implicit periodic structures in the solution of the sinh-Gordon thermodynamic Bethe ansatz (TBA) equation are considered. The analytic structure of the solution as a function of complex θ is…