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

A. Ali Khan, M. Göckeler, Ph. Hägler, T. R. Hemmert, R. Horsley, D. Pleiter, P. E. L. Rakow, A. Schäfer, G. Schierholz, T. Wollenweber, and J. M. Zanotti (QCDSF Collaboration)
Phys. Rev. D 74, 094508 – Published 27 November 2006

Abstract

We present data for the axial coupling constant gA of the nucleon obtained in lattice QCD with two degenerate flavors of dynamical nonperturbatively improved Wilson quarks. The renormalization is also performed nonperturbatively. For the analysis we give a chiral extrapolation formula for gA based on the small scale expansion scheme of chiral effective field theory for two degenerate quark flavors. 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.

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  • Received 18 April 2006

DOI:https://doi.org/10.1103/PhysRevD.74.094508

©2006 American Physical Society

Authors & Affiliations

A. Ali Khan1, M. Göckeler1, Ph. Hägler2, T. R. Hemmert2, R. Horsley3, D. Pleiter4, P. E. L. Rakow5, A. Schäfer1, G. Schierholz4,6, T. Wollenweber2, and J. M. Zanotti3 (QCDSF Collaboration)

  • 1Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
  • 2Physik-Department, Theoretische Physik, Technische Universität München, 85747 Garching, Germany
  • 3School of Physics, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
  • 4John von Neumann-Institut für Computing NIC, Deutsches Elektronen-Synchrotron DESY, 15738 Zeuthen, Germany
  • 5Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United Kingdom
  • 6Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany

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Issue

Vol. 74, Iss. 9 — 1 November 2006

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