### Abstract

We develop truncated conformal space (TCS) technique for perturbations of c = 1 conformal field theories. We use it to give the first numerical evidence of the validity of the non-linear integral equation (NLIE) derived from light-cone lattice regularization at intermediate scales. A controversy on the quantization of Bethe states is solved by this numerical comparison and by using the locality principle at the ultraviolet fixed point. It turns out that the correct quantization for pure hole states is the one with half-integer quantum numbers originally proposed by Fioravanti et al. [Phys. Lett. B 390 (1997) 243]. Once the correct rule is imposed, the agreement between TCS and NLIE for pure hole states turns out to be impressive.

Original language | English |
---|---|

Pages (from-to) | 264-273 |

Number of pages | 10 |

Journal | Physics Letters B |

Volume | 430 |

Issue number | 3-4 |

Publication status | Published - Jul 2 1998 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*430*(3-4), 264-273.

**Truncated conformal space at c = 1, nonlinear integral equation and quantization rules for multi-soliton states.** / Feverati, G.; Ravanini, F.; Takács, G.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 430, no. 3-4, pp. 264-273.

}

TY - JOUR

T1 - Truncated conformal space at c = 1, nonlinear integral equation and quantization rules for multi-soliton states

AU - Feverati, G.

AU - Ravanini, F.

AU - Takács, G.

PY - 1998/7/2

Y1 - 1998/7/2

N2 - We develop truncated conformal space (TCS) technique for perturbations of c = 1 conformal field theories. We use it to give the first numerical evidence of the validity of the non-linear integral equation (NLIE) derived from light-cone lattice regularization at intermediate scales. A controversy on the quantization of Bethe states is solved by this numerical comparison and by using the locality principle at the ultraviolet fixed point. It turns out that the correct quantization for pure hole states is the one with half-integer quantum numbers originally proposed by Fioravanti et al. [Phys. Lett. B 390 (1997) 243]. Once the correct rule is imposed, the agreement between TCS and NLIE for pure hole states turns out to be impressive.

AB - We develop truncated conformal space (TCS) technique for perturbations of c = 1 conformal field theories. We use it to give the first numerical evidence of the validity of the non-linear integral equation (NLIE) derived from light-cone lattice regularization at intermediate scales. A controversy on the quantization of Bethe states is solved by this numerical comparison and by using the locality principle at the ultraviolet fixed point. It turns out that the correct quantization for pure hole states is the one with half-integer quantum numbers originally proposed by Fioravanti et al. [Phys. Lett. B 390 (1997) 243]. Once the correct rule is imposed, the agreement between TCS and NLIE for pure hole states turns out to be impressive.

UR - http://www.scopus.com/inward/record.url?scp=0346515697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346515697&partnerID=8YFLogxK

M3 - Article

VL - 430

SP - 264

EP - 273

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -