NLIE for hole excited states in the sine-Gordon model with two boundaries

Changrim Ahn; Zoltán Bajnok; Rafael I. Nepomechie; László Palla; Gábor Takács

doi:10.1016/j.nuclphysb.2005.03.014

NLIE for hole excited states in the sine-Gordon model with two boundaries

Changrim Ahn, Zoltán Bajnok, Rafael I. Nepomechie, László Palla, Gábor Takács

Physics

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

16 Scopus citations

Abstract

We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of the field. We use this NLIE to compute numerically the dimensions of these states as a function of scale, and check the UV and IR limits analytically. We also find further support for the ground-state NLIE by comparison with boundary conformal perturbation theory (BCPT), boundary truncated conformal space approach (BTCSA) and the boundary analogue of the Lüscher formula.

Original language	English (US)
Pages (from-to)	307-335
Number of pages	29
Journal	Nuclear Physics B
Volume	714
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.03.014
State	Published - May 16 2005

ASJC Scopus subject areas

Nuclear and High Energy Physics

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@article{90edee5466b04dad99a30cafaa5317c4,

title = "NLIE for hole excited states in the sine-Gordon model with two boundaries",

abstract = "We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of the field. We use this NLIE to compute numerically the dimensions of these states as a function of scale, and check the UV and IR limits analytically. We also find further support for the ground-state NLIE by comparison with boundary conformal perturbation theory (BCPT), boundary truncated conformal space approach (BTCSA) and the boundary analogue of the L{\"u}scher formula.",

author = "Changrim Ahn and Zolt{\'a}n Bajnok and Nepomechie, {Rafael I.} and L{\'a}szl{\'o} Palla and G{\'a}bor Tak{\'a}cs",

note = "Funding Information: We are grateful to F. Ravanini for valuable discussions. This work was supported in part by the Korea Research Foundation 2002-070-C00025 (C.A.); by the EC network “EUCLID”, contract number HPRN-CT-2002-00325, and Hungarian research funds OTKA D42209, T037674, T034299 and T043582 (Z.B., L.P. and G.T.); and by the National Science Foundation under Grants PHY-0098088 and PHY-0244261, and by a UM Provost Award (R.N.). ",

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doi = "10.1016/j.nuclphysb.2005.03.014",

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T1 - NLIE for hole excited states in the sine-Gordon model with two boundaries

AU - Ahn, Changrim

AU - Bajnok, Zoltán

AU - Nepomechie, Rafael I.

AU - Palla, László

AU - Takács, Gábor

N1 - Funding Information: We are grateful to F. Ravanini for valuable discussions. This work was supported in part by the Korea Research Foundation 2002-070-C00025 (C.A.); by the EC network “EUCLID”, contract number HPRN-CT-2002-00325, and Hungarian research funds OTKA D42209, T037674, T034299 and T043582 (Z.B., L.P. and G.T.); and by the National Science Foundation under Grants PHY-0098088 and PHY-0244261, and by a UM Provost Award (R.N.).

PY - 2005/5/16

Y1 - 2005/5/16

N2 - We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of the field. We use this NLIE to compute numerically the dimensions of these states as a function of scale, and check the UV and IR limits analytically. We also find further support for the ground-state NLIE by comparison with boundary conformal perturbation theory (BCPT), boundary truncated conformal space approach (BTCSA) and the boundary analogue of the Lüscher formula.

AB - We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of the field. We use this NLIE to compute numerically the dimensions of these states as a function of scale, and check the UV and IR limits analytically. We also find further support for the ground-state NLIE by comparison with boundary conformal perturbation theory (BCPT), boundary truncated conformal space approach (BTCSA) and the boundary analogue of the Lüscher formula.

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JO - Nuclear Physics B

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