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Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume

Ali Khan, A.; Göckeler, M.; Hägler, Ph.; Hemmert, T.R.; Horlsey, R.; Pleiter, D.; Rakow, P.E.L.; Schäfer, A.; Schierholz, G.; Wollenweber, T. and Zanotti, J.M. (2006) Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume. Physical Review D, 74 (09). ISSN 1550-2368 (online); 1550-7998 (print)

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Official URL: http://link.aps.org/abstract/PRD/v74/e094508

Abstract

We present data for the axial coupling constant g_A of the nucleon obtained in lattice QCD with two degenerate flavours of dynamical non-perturbatively improved Wilson quarks. The renormalisation is also performed non-perturbatively. For the analysis we give a chiral extrapolation formula for g_A based on the small scale expansion scheme of chiral effective field theory for two degenerate quark flavours. Applying this formalism in a finite volume we derive a formula that allows us to extrapolate our data simultaneously to the infinite volume and to the chiral limit. Using the additional lattice data in finite volume we are able to determine the axial coupling of the nucleon in the chiral limit without imposing the known value at the physical point.

Item Type:Article
Additional Information:LTH 693; arXiv Number: arXiv:hep-lat/0603028v2. Additional citation information: PHYSICAL REVIEW D 74, 094508 (2006); 1550-7998/2006/74(9)/094508(12). Published 27 November 2006. Pages 1 to 12. Please refer to document for full details of references.
Uncontrolled Keywords:FERMION; LATTICE FIELD THEORY; GAUGE FIELD THEORY; SU(3; FLAVOR 2; NUCLEON; COUPLING CONSTANT; AXIAL; RENORMALIZATION; EFFECTIVE FIELD THEORY; EFFECT; FINITE SIZE; NUMERICAL CALCULATIONS; MONTE CARLO
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1103/PhysRevD.74.094508
Publisher's Statement:Users are advised to view the Statement of Copyright Copyright 2008© by The American Physical Society, as it relates to the published version -http://prd.aps.org/info/copyright.html
Related URLs:
Refereed:Yes
Status:Published
ID Code:378
Deposited On:20 Nov 2009 10:03
Last Modified:20 May 2011 16:47

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