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

Khan, A. Ali and Goeckeler, Meinulf and Haegler, Ph. and Hemmert, T. R. and Horsley, R. and Pleiter, D. and Rakow, P. E. L. and Schaefer, A. and Schierholz, G. and Wollenweber, T. and Zanotti, J. M. (2006) Axial coupling constant of the nucleon for two flavors of dynamical quarks in finite and infinite volume. PHYSICAL REVIEW D, 74 (9): 094508. ISSN 2470-0010, 2470-0029

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Abstract

We present data for the axial coupling constant g(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(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.

Item Type: Article
Uncontrolled Keywords: CHIRAL PERTURBATION-THEORY; DOMAIN-WALL FERMIONS; LATTICE QCD; NONPERTURBATIVE RENORMALIZATION; CHARGE; OPERATORS; CURRENTS; SCALE; MASS; G(A);
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Jan 2021 08:09
Last Modified: 20 Jan 2021 08:09
URI: https://pred.uni-regensburg.de/id/eprint/33841

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