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

Vladimir E. Korepin; Takeshi Oota

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

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

Vladimir E. Korepin
, Takeshi Oota

Institute for Theoretical Physics

Stony Brook University

Kyoto University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We consider the scaling Lee-Yang model. It corresponds to the unique perturbation of the minimal CFT model M_2.5. 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.

Original language	English
Pages (from-to)	L371-L380
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	19
DOIs	https://doi.org/10.1088/0305-4470/31/19/003
State	Published - May 15 1998

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title = "A determinant representation for a correlation function of the scaling Lee-Yang model",

abstract = "We consider the scaling Lee-Yang model. It corresponds to the unique perturbation of the minimal CFT model M2.5. 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.",

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AU - Oota, Takeshi

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N2 - We consider the scaling Lee-Yang model. It corresponds to the unique perturbation of the minimal CFT model M2.5. 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.

AB - We consider the scaling Lee-Yang model. It corresponds to the unique perturbation of the minimal CFT model M2.5. 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.

UR - https://www.scopus.com/pages/publications/0032523563

U2 - 10.1088/0305-4470/31/19/003

DO - 10.1088/0305-4470/31/19/003

M3 - Article

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SP - L371-L380

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 19

ER -

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

Abstract

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