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



Ali Khan, A, Bakeyev, T, Göckeler, M, Hemmert, TR, Horsley, R, Irving, AC, Joó, B, Pleiter, D, Rakow, PEL ORCID: 0000-0003-4486-2158, Schierholz, G
et al (show 1 more authors) (2004) The nucleon mass in Nf=2 lattice QCD: finite size effects from chiral perturbation theory. Nuclear Physics B, 689 (3). pp. 175-194.

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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.

Item Type: Article
Additional Information: ## TULIP Type: Articles/Papers (Journal) ## official_url: <Go to ISI>://000222068200001
Uncontrolled Keywords: Lattice QCD, Chiral effective field theory, Finite size effects, SCATTERING, SYMMETRY, VOLUME, QUARKS, PI
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 04 Nov 2008 13:04
Last Modified: 17 Dec 2022 01:19
DOI: 10.1016/j.nuclphysb.2004.04.018
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/492