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

Khan, A. Ali and Bakeyev, T. and Goeckeler, Meinulf and Hemmert, T. R. and Horsley, R. and Irving, A. C. and Joo, B. and Pleiter, D. and Rakow, P. E. L. and Schierholz, G. and Stueben, 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, 1873-1562

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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 CPPACs 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. (C) 2004 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: SCATTERING; SYMMETRY; VOLUME; QUARKS; PI; lattice QCD; chiral effective field theory; finite size effects
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 12 Jul 2021 12:28
Last Modified: 12 Jul 2021 12:28
URI: https://pred.uni-regensburg.de/id/eprint/37529

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