1. The nucleon mass in Nf=2 lattice QCD: finite size effects from chiral perturbation theory
- Author
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Ali Khan, A, Bakeyev, T, Göckeler, M, Hemmert, TR, Horsley, R, Irving, AC, Joó, B, Pleiter, D, Rakow, PEL, Schierholz, G, Stüben, H, and QCDSF-UKQCD Collaboration
- Subjects
Physics ,Nuclear and High Energy Physics ,Particle physics ,Chiral perturbation theory ,Finite volume method ,High Energy Physics::Lattice ,High Energy Physics - Lattice (hep-lat) ,FOS: Physical sciences ,Lattice QCD ,Baryon ,High Energy Physics - Phenomenology ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Lattice ,Pion ,Lattice (order) ,Nucleon ,Phenomenology (particle physics) ,QC - 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., 23 pages, 5 figures; references added + minor corrections; one more reference added, typo in eq.(25) corrected, additional clarifying remarks
- Published
- 2004