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arXiv · hep-lat/0312030

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
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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.

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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. 2004-04-26. The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory. https://doi.org/10.1016/j.nuclphysb.2004.04.018

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