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Scholarly Communication

The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory

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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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
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
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ID Code:492
Deposited On:04 Nov 2008 13:04
Last Modified:20 May 2011 13:21

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