Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis

TL;DR

This paper explores how the light-front quark model aligns with QCD's chiral symmetry in pseudoscalar meson analysis, demonstrating that constituent quarks can be viewed as dressed particles incorporating vacuum fluctuations.

Contribution

It establishes the consistency of the light-front quark model with chiral symmetry by analyzing two- and three-point functions of pseudoscalar mesons, including the pion form factor.

Findings

LFQM results align with chiral symmetry expectations.

Constituent quarks are effectively dressed by zero-mode quantum fluctuations.

Analysis supports the view of zero-mode cloud around quarks in mesons.

Abstract

We discuss the link between the chiral symmetry of QCD and the numerical results of the light-front quark model (LFQM), analyzing both the two-point and three-point functions of a pseudoscalar meson from the perspective of the vacuum fluctuation consistent with the chiral symmetry of QCD. The two-point and three-point functions are exemplified in this work by the twist-2 and twist-3 distribution amplitudes of a pseudoscalar meson and the pion elastic form factor, respectively. The present analysis of the pseudoscalar meson commensurates with the previous analysis of the vector meson two-point function and fortifies our observation that the light-front quark model with effective degrees of freedom represented by the constituent quark and antiquark may provide the view of effective zero-mode cloud around the quark and antiquark inside the meson. Consequently, the constituents dressed by the zero-mode cloud may be expected to satisfy the chiral symmetry of QCD. Our results appear consistent with this expectation and effectively indicate that the constituent quark and antiquark in the LFQM may be considered as the dressed constituents including the zero-mode quantum fluctuations from the vacuum.