Using the exact result for the vacuum expectation values in non-simply laced affine Toda field theory $C_2^{(1)}$ , we study short and long distance predictions of the two-point correlation functions in the massive phase of two coupled minimal models. The central charge of the unperturbed models ranges from $c=1$ to $c=2$ , where the perturbed models correspond to two magnetically coupled Ising models and Heisenberg spin ladders, respectively.Using the exact result for the vacuum expectation values in non-simply laced affine Toda field theory $C_2^{(1)}$, we study short and long distance predictions of the two-point correlation functions in the massive phase of two coupled minimal models. The central charge of the unperturbed models ranges from $c=1$ to $c=2$, where the perturbed models correspond to two magnetically coupled Ising models and Heisenberg spin ladders, respectively.

May 17, 20000 citations

Correlation functions of solvable models

Bernard Nienhuis

Elsevier eBooksJan 1, 19941 citation

A determinant representation for a correlation function of the scaling Lee - Yang model

V. E. Korepin, Takeshi Oota

We consider the scaling Lee - Yang model. It corresponds to the unique perturbation of the minimal CFT model . This model is not unitary. We are using an expression for form factors in terms of symmetric polynomials in order to obtain a closed expression for the correlation function of the trace of the energy-momentum tensor. This expression is a determinant of an integral operator. Similar determinant representations were proven to be useful not only for quantum correlation functions but also in matrix models.We consider the scaling Lee - Yang model. It corresponds to the unique perturbation of the minimal CFT model . This model is not unitary. We are using an expression for form factors in terms of symmetric polynomials in order to obtain a closed expression for the correlation function of the trace of the energy-momentum tensor. This expression is a determinant of an integral operator. Similar determinant representations were proven to be useful not only for quantum correlation functions but also in matrix models.

arXiv:hep-th/9802003Journal of Physics A Mathematical and GeneralMay 15, 19988 citations

On correlation functions of the XY model

Anatoli G. Izergin, N. A. Kitanin, N. A. Slavnov

Journal of Mathematical SciencesJan 1, 199825 citations

One-point functions in integrable coupled minimal models

Pascal Baseilhac

arXiv:hep-th/0005161Nuclear Physics BFeb 1, 20016 citations

A bootstrap study of minimal model deformations

António Antunes, Edoardo Lauria, Balt C. van Rees

For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional CFTs, focusing on deformations of the tricritical and ordinary Ising model. We provide non-perturbative constraints for the boundary correlation functions of these flows and compare them with conformal perturbation theory in the vicinity of the fixed points. We also reproduce a completely general constraint on the sign of the $T\bar T$ deformation in two dimensions.For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional CFTs, focusing on deformations of the tricritical and ordinary Ising model. We provide non-perturbative constraints for the boundary correlation functions of these flows and compare them with conformal perturbation theory in the vicinity of the fixed points. We also reproduce a completely general constraint on the sign of the $T\bar T$ deformation in two dimensions.

arXiv:2401.06818Journal of High Energy PhysicsJan 1, 20231 citation

Using the exact result for the vacuum expectation values in non-simply laced affine Toda field theory

C_2^{(1)}

, we study short and long distance predictions of the two-point correlation functions in the massive phase of two coupled minimal models. The central charge of the unperturbed models ranges from

c=1

c=2

, where the perturbed models correspond to two magnetically coupled Ising models and Heisenberg spin ladders, respectively.

T\bar T

deformation in two dimensions.