Christou, C. and Feo, A. and Panagopoulos, H. and Vicari, E. (1998) *The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions.* Nuclear Physics B, 525 (1-2). pp. 387-400. ISSN 1873-1562

## Abstract

We calculate the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in $g_0^2$) to the relation between the lattice Lambda-parameter and the bare coupling $g_0$, which is important in order to verify asymptotic scaling predictions. Our calculation also leads to the two-loop relation between the coupling renormalized in the MSbar scheme and $g_0$. The original version of this paper contained a numerical error in one of the diagrams, which has now been corrected. The calculations, as well as the layout of the paper have remained identical, but there are some important changes in the numerical results.

Item Type: | Article |
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Additional Information: | Imported from arXiv |

Subjects: | Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |

Divisions: | Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA |

Depositing User: | dott.ssa Sandra Faita |

Date Deposited: | 11 Feb 2014 15:24 |

Last Modified: | 11 Feb 2014 15:24 |

URI: | http://eprints.adm.unipi.it/id/eprint/1898 |

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