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

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

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)307-335
Number of pages29
JournalNuclear Physics B
Volume714
Issue number3
DOIs
StatePublished - May 16 2005

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integral equations
excitation
perturbation theory
analogs
intervals
ground state
interactions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

NLIE for hole excited states in the sine-Gordon model with two boundaries. / Ahn, Changrim; Bajnok, Zoltán; Nepomechie, Rafael; Palla, László; Takács, Gábor.

In: Nuclear Physics B, Vol. 714, No. 3, 16.05.2005, p. 307-335.

Research output: Contribution to journalArticle

Ahn, Changrim ; Bajnok, Zoltán ; Nepomechie, Rafael ; Palla, László ; Takács, Gábor. / NLIE for hole excited states in the sine-Gordon model with two boundaries. In: Nuclear Physics B. 2005 ; Vol. 714, No. 3. pp. 307-335.
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