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

A. Ali Khan; T. Bakeyev; Meinulf Göckeler; T. R. Hemmert; R. Horsley; A. C. Irving; B. Joó; D. Pleiter; P. E.L. Rakow; G. Schierholz; H. Stüben

doi:10.1016/j.nuclphysb.2004.04.018

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

A. Ali Khan, T. Bakeyev, Meinulf 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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145 Scopus citations

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(p⁴). 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.

Original language	English
Pages (from-to)	175-194
Number of pages	20
Journal	Nuclear Physics B
Volume	689
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2004.04.018
State	Published - Jun 28 2004
Externally published	Yes

Funding

This work has been supported in part by the European Community's Human Potential Program under contract HPRN-CT-2000-00145, Hadrons/Lattice QCD and by the DFG (Forschergruppe Gitter-Hadronen-Phänomenologie). A.A.K. thanks the DFG for a research grant (No. AL 596/1). We are also thankful for the support provided by the (Trento). Discussions with A. Schäfer and W. Weise are gratefully acknowledged. T.R.H. thanks the Institute for Theoretical Physics of the University of Regensburg, the Institute for Physics of the Humboldt University Berlin and DESY Zeuthen for their kind hospitality.

Funders	Funder number
European Community's Human Potential Program	HPRN-CT-2000-00145
Deutsche Forschungsgemeinschaft	AL 596/1

Keywords

Chiral effective field theory
Finite size effects
Lattice QCD

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10.1016/j.nuclphysb.2004.04.018

Cite this

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title = "The nucleon mass in Nf = 2 lattice QCD: Finite size effects from chiral perturbation theory",

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(p4). 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 Nf=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.",

keywords = "Chiral effective field theory, Finite size effects, Lattice QCD",

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year = "2004",

month = jun,

day = "28",

doi = "10.1016/j.nuclphysb.2004.04.018",

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T1 - The nucleon mass in Nf = 2 lattice QCD

T2 - Finite size effects from chiral perturbation theory

AU - Ali Khan, A.

AU - Bakeyev, T.

AU - Göckeler, Meinulf

AU - Hemmert, T. R.

AU - Horsley, R.

AU - Irving, A. C.

AU - Joó, B.

AU - Pleiter, D.

AU - Rakow, P. E.L.

AU - Schierholz, G.

AU - Stüben, H.

PY - 2004/6/28

Y1 - 2004/6/28

N2 - 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(p4). 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 Nf=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.

AB - 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(p4). 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 Nf=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.

KW - Chiral effective field theory

KW - Finite size effects

KW - Lattice QCD

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DO - 10.1016/j.nuclphysb.2004.04.018

M3 - Article

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SN - 0550-3213

VL - 689

SP - 175

EP - 194

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

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

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