One-point functions in perturbed boundary conformal field theories

P E Dorey; M Pillin; R Tateo; G M T Watts

doi:10.1016/S0550-3213(00)00622-2

One-point functions in perturbed boundary conformal field theories

P E Dorey, M Pillin, R Tateo, G M T Watts

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

30 Citations (Scopus)

Abstract

We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal space approach and the form-factor expansion. Good agreement is found between the results of the two methods, though we find that the expression for the general boundary state given by Ghoshal and Zamolodchikov has to be corrected slightly. For the boundary fields we use thermodynamic Bethe ansatz equations to find exact expressions for the strip and semi-infinite cylinder geometries. We also find a novel off-critical identity between the cylinder partition functions of models with differing boundary conditions, and use this to investigate the regions of boundary-induced instability exhibited by the model on a finite strip. (C) 2001 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	625 - 659
Number of pages	35
Journal	Nuclear Physics, Section B
Volume	594
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(00)00622-2
Publication status	Published - 5 Feb 2001

Access to Document

10.1016/S0550-3213(00)00622-2

Cite this

@article{43853771bd7644ee9588823c90ce9e01,

title = "One-point functions in perturbed boundary conformal field theories",

abstract = "We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal space approach and the form-factor expansion. Good agreement is found between the results of the two methods, though we find that the expression for the general boundary state given by Ghoshal and Zamolodchikov has to be corrected slightly. For the boundary fields we use thermodynamic Bethe ansatz equations to find exact expressions for the strip and semi-infinite cylinder geometries. We also find a novel off-critical identity between the cylinder partition functions of models with differing boundary conditions, and use this to investigate the regions of boundary-induced instability exhibited by the model on a finite strip. (C) 2001 Elsevier Science B.V. All rights reserved.",

author = "Dorey, {P E} and M Pillin and R Tateo and Watts, {G M T}",

year = "2001",

month = feb,

day = "5",

doi = "10.1016/S0550-3213(00)00622-2",

language = "English",

volume = "594",

pages = "625 -- 659",

journal = "Nuclear Physics, Section B",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - One-point functions in perturbed boundary conformal field theories

AU - Dorey, P E

AU - Pillin, M

AU - Tateo, R

AU - Watts, G M T

PY - 2001/2/5

Y1 - 2001/2/5

N2 - We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal space approach and the form-factor expansion. Good agreement is found between the results of the two methods, though we find that the expression for the general boundary state given by Ghoshal and Zamolodchikov has to be corrected slightly. For the boundary fields we use thermodynamic Bethe ansatz equations to find exact expressions for the strip and semi-infinite cylinder geometries. We also find a novel off-critical identity between the cylinder partition functions of models with differing boundary conditions, and use this to investigate the regions of boundary-induced instability exhibited by the model on a finite strip. (C) 2001 Elsevier Science B.V. All rights reserved.

AB - We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal space approach and the form-factor expansion. Good agreement is found between the results of the two methods, though we find that the expression for the general boundary state given by Ghoshal and Zamolodchikov has to be corrected slightly. For the boundary fields we use thermodynamic Bethe ansatz equations to find exact expressions for the strip and semi-infinite cylinder geometries. We also find a novel off-critical identity between the cylinder partition functions of models with differing boundary conditions, and use this to investigate the regions of boundary-induced instability exhibited by the model on a finite strip. (C) 2001 Elsevier Science B.V. All rights reserved.

UR - http://www.scopus.com/inward/record.url?scp=0035809134&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(00)00622-2

DO - 10.1016/S0550-3213(00)00622-2

M3 - Article

VL - 594

SP - 625

EP - 659

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

One-point functions in perturbed boundary conformal field theories

Abstract

Access to Document

Other files and links

Fingerprint

Cite this