Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-12-18
Nucl.Phys.B689:175-194,2004
Physics
High Energy Physics
High Energy Physics - Lattice
23 pages, 5 figures; references added + minor corrections; one more reference added, typo in eq.(25) corrected, additional cla
Scientific paper
10.1016/j.nuclphysb.2004.04.018
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.
Bakeyev T.
Göckeler Meinulf
Hemmert Thomas R.
Horsley Roger
Irving Alan C.
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