arXiv:hep-th/9802003 · Journal of Physics A Mathematical and General

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

V. E. Korepin, Takeshi Oota

Published May 15, 1998• 8 citations

Abstract

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.

DOI: 10.1088/0305-4470/31/19/003

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arXiv:hep-th/9802003 · Journal of Physics A Mathematical and General

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

V. E. Korepin, Takeshi Oota

Published May 15, 1998• 8 citations

arXiv HTML PDF

Abstract

DOI: 10.1088/0305-4470/31/19/003

Related papers

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V. A. Belavin, O. V. Miroshnichenko

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Correlation functions of the composite field

T\bar T

in the scaling Lee-Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli hep-th/0407142 [1], we show numerically that the constraints on the

T\bar T

expectation values obtained by Zamolodchikov hep-th/0401146

Correlation functions of the composite field

T\\bar{T}

in the scaling Lee--Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli \\cite{DN}, we show numerically that the constraints on the

T\\bar{T}

expectation values obtained in \\cite{AZ_VEVTT} and the additional requirement of asymptotic behavior lead to a perfect agreement with the ultraviolet asymptotic predicted by the conformal perturbation theory.

\frac{c_{\text{eff}}}{3}\log \ell

where

c_{\text{eff}}

is the effective central charge of the theory (a positive number related to the central charge) and

\ell

is the size of the region. Furthermore the form factor expansion of twist fields allows us to explore the large region limit of the entanglement entropy and find the next-to-leading order correction to saturation. We find that this correction is very different from its counterpart in unitary models. Whereas in the latter case, it had a form depending only on few parameters of the model (the particle spectrum), it appears to be much more model-dependent for non-unitary models.