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Physical Review D

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Self-consistent covariant description of vector meson decay constants and chirality-even quark-antiquark distribution amplitudes up to twist 3 in the light-front quark model

Chueng-Ryong Ji

Department of Physics, Teachers College, Kyungpook National University, Daegu 702-701, Korea

Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA

Phys. Rev. D 89, 033011 – Published 19 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.033011

Abstract

Although the meson decay amplitude described by a two-point function may be regarded as one of the simplest possible physical observables, it is interesting that this apparently simple amplitude bears abundant fundamental information on QCD vacuum dynamics and chiral symmetry. The light-front zero-mode issue of the vector meson decay constant $f_{V}$ is in this respect highly nontrivial and deserves careful analysis. We discuss the zero-mode issue in the light-front quark model (LFQM) prediction of $f_{V}$ from the perspective of the vacuum fluctuation consistent with the chiral symmetry of QCD. We extend the exactly solvable, manifestly covariant Bethe-Salpeter model calculation to the more phenomenologically accessible, realistic light-front quark model and present a self-consistent covariant description of $f_{V}$ , analyzing the twist-2 and twist-3 quark-antiquark distribution amplitudes with even chirality.

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