arXiv:hep-lat/0312030·v3·High Energy Physics — Lattice
The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
A. Ali Khan · T. Bakeyev · M. Göckeler · T. R. Hemmert · R. Horsley · A. C. Irving · B. Joó · D. Pleiter · P. E. L. Rakow · G. Schierholz · H. Stüben
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.
Comments: 23 pages, 5 figures; references added + minor corrections; one more reference added, typo in eq.(25) corrected, additional clarifying remarks