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

Journal Article · Wed Nov 01 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.094508· OSTI ID:20873156

Khan, A Ali; Goeckeler, M; Schaefer, A ^[1]; Haegler, Ph; Hemmert, T R; Wollenweber, T ^[2]; Horsley, R; Zanotti, J M ^[3]; Pleiter, D ^[4]; Rakow, P E. L. ^[5]; Schierholz, G ^[4]; Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg ^[6]

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1. Institut fuer Theoretische Physik, Universitaet Regensburg, 93040 Regensburg (Germany)
2. Physik-Department, Theoretische Physik, Technische Universitaet Muenchen, 85747 Garching (Germany)
3. School of Physics, University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
4. John von Neumann-Institut fuer Computing NIC, Deutsches Elektronen-Synchrotron DESY, 15738 Zeuthen (Germany)
5. Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX (United Kingdom)
6. Germany

We present data for the axial coupling constant g{sub A} 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 g{sub A} 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.

• OSTI ID: 20873156
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COUPLING
COUPLING CONSTANTS
EXTRAPOLATION
FLAVOR MODEL
LATTICE FIELD THEORY
NUCLEONS
QUANTUM CHROMODYNAMICS
QUARKS
RENORMALIZATION