### Abstract

We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice N-vector model. This allows the determination of the second perturbative correction to various long-distance quantities like the correlation lengths and the susceptibilities. We compare these predictions with new Monte Carlo data for N = 3, 4, 8. From these data we also extract the values of various universal nonperturbative constants, which we compare with the predictions of the 1/N expansion.

Original language | English (US) |
---|---|

Pages (from-to) | 763-766 |

Number of pages | 4 |

Journal | Nuclear Physics B - Proceedings Supplements |

Volume | 47 |

Issue number | 1-3 |

DOIs | |

State | Published - Mar 1996 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B - Proceedings Supplements*,

*47*(1-3), 763-766. https://doi.org/10.1016/0920-5632(96)00169-7

**Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N = 3, 4, 8.** / Caracciolo, Sergio; Edwards, Robert G.; Mendes, Tereza; Pelissetto, Andrea; Sokal, Alan D.

Research output: Contribution to journal › Article

*Nuclear Physics B - Proceedings Supplements*, vol. 47, no. 1-3, pp. 763-766. https://doi.org/10.1016/0920-5632(96)00169-7

}

TY - JOUR

T1 - Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N = 3, 4, 8

AU - Caracciolo, Sergio

AU - Edwards, Robert G.

AU - Mendes, Tereza

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

PY - 1996/3

Y1 - 1996/3

N2 - We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice N-vector model. This allows the determination of the second perturbative correction to various long-distance quantities like the correlation lengths and the susceptibilities. We compare these predictions with new Monte Carlo data for N = 3, 4, 8. From these data we also extract the values of various universal nonperturbative constants, which we compare with the predictions of the 1/N expansion.

AB - We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice N-vector model. This allows the determination of the second perturbative correction to various long-distance quantities like the correlation lengths and the susceptibilities. We compare these predictions with new Monte Carlo data for N = 3, 4, 8. From these data we also extract the values of various universal nonperturbative constants, which we compare with the predictions of the 1/N expansion.

UR - http://www.scopus.com/inward/record.url?scp=16144366658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=16144366658&partnerID=8YFLogxK

U2 - 10.1016/0920-5632(96)00169-7

DO - 10.1016/0920-5632(96)00169-7

M3 - Article

VL - 47

SP - 763

EP - 766

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

IS - 1-3

ER -