Ali Khan, A.; Bakeyev, T.; Göckeler, M.; Hemmert, T.R.; Horsley, R.; Irving, A.C.; Joo, B.; Pleiter, D.; Rakow, P.E.L.; Schierholz, G. and Stüben, H. (2004) *The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory.* Nuclear Physics B, 689 (3). pp. 175-194. ISSN 0550-3213

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## Abstract

In the framework of relativistic SU(2)_f baryon chiral perturbation theory we calculate the volume dependence of the nucleon mass up to and including O(p^4). Since the parameters in the resulting finite size formulae are fixed from the pion mass dependence of the large volume nucleon masses and from phenomenology, we obtain a parameter-free prediction of the finite size effects. We present mass data from the recent N_f=2 simulations of the UKQCD and QCDSF collaborations and compare these data as well as published mass values from the dynamical simulations of the CP-PACS and JLQCD collaborations with the theoretical expectations. Remarkable agreement between the lattice data and the predictions of chiral perturbation theory in a finite volume is found.

Item Type: | Article |
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Additional Information: | LTH 614. arXiv Number: arXiv:hep-lat/0312030v3. Available online 12 May 2004. Issue: 28 June 2004. |

Uncontrolled Keywords: | Lattice QCD; Chiral effective field theory; Finite size effects; SCATTERING; SYMMETRY; VOLUME; QUARKS; PI |

Subjects: | Q Science > QC Physics |

Departments, Research Centres and Related Units: | Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences |

DOI: | 10.1016/j.nuclphysb.2004.04.018 |

Related URLs: | |

Refereed: | Yes |

Status: | Published |

ID Code: | 492 |

Deposited On: | 04 Nov 2008 13:04 |

Last Modified: | 20 May 2011 13:21 |

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