### 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) |
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Pages (from-to) | 307-335 |

Number of pages | 29 |

Journal | Nuclear Physics B |

Volume | 714 |

Issue number | 3 |

DOIs | |

State | Published - May 16 2005 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Ahn, C., Bajnok, Z., Nepomechie, R. I., Palla, L., & Takács, G. (2005). NLIE for hole excited states in the sine-Gordon model with two boundaries.

*Nuclear Physics B*,*714*(3), 307-335. https://doi.org/10.1016/j.nuclphysb.2005.03.014