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 | |
| State | Published - May 16 2005 |
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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 journal › Article
}
TY - JOUR
T1 - NLIE for hole excited states in the sine-Gordon model with two boundaries
AU - Ahn, Changrim
AU - Bajnok, Zoltán
AU - Nepomechie, Rafael
AU - Palla, László
AU - Takács, Gábor
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.
UR - http://www.scopus.com/inward/record.url?scp=17144402992&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=17144402992&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2005.03.014
DO - 10.1016/j.nuclphysb.2005.03.014
M3 - Article
AN - SCOPUS:17144402992
VL - 714
SP - 307
EP - 335
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -