### Abstract

The massive continuum limit of the (1 + 1)-dimensional O(2) nonlinear σ-model (XY-model) is studied using its equivalence to the sine-Gordon model at its asymptotically free point. It is shown that leading lattice artifacts are universal but they vanish only as inverse powers of the logarithm of the correlation length. Such leading artifacts are calculated for the case of the scattering phase shifts and the correlation function of the Noether current using the bootstrap S-matrix and perturbation theory respectively.

Original language | English |
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Pages (from-to) | 5237-5250 |

Number of pages | 14 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 34 |

Issue number | 25 |

DOIs | |

Publication status | Published - 2001 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**Kosterlitz-Thouless theory and lattice artifacts.** / Balog, J.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 34, no. 25, pp. 5237-5250. https://doi.org/10.1088/0305-4470/34/25/306

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TY - JOUR

T1 - Kosterlitz-Thouless theory and lattice artifacts

AU - Balog, J.

PY - 2001

Y1 - 2001

N2 - The massive continuum limit of the (1 + 1)-dimensional O(2) nonlinear σ-model (XY-model) is studied using its equivalence to the sine-Gordon model at its asymptotically free point. It is shown that leading lattice artifacts are universal but they vanish only as inverse powers of the logarithm of the correlation length. Such leading artifacts are calculated for the case of the scattering phase shifts and the correlation function of the Noether current using the bootstrap S-matrix and perturbation theory respectively.

AB - The massive continuum limit of the (1 + 1)-dimensional O(2) nonlinear σ-model (XY-model) is studied using its equivalence to the sine-Gordon model at its asymptotically free point. It is shown that leading lattice artifacts are universal but they vanish only as inverse powers of the logarithm of the correlation length. Such leading artifacts are calculated for the case of the scattering phase shifts and the correlation function of the Noether current using the bootstrap S-matrix and perturbation theory respectively.

UR - http://www.scopus.com/inward/record.url?scp=0035968157&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035968157&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/34/25/306

DO - 10.1088/0305-4470/34/25/306

M3 - Article

VL - 34

SP - 5237

EP - 5250

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 25

ER -