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

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.

16 pages, 5 figures. slight change in the title and a few typo corrections

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Cited by in corpus (14)

• Light mesons within the basis light-front quantization framework
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• Self-consistent light-front quark model analysis of $B\to D\ell {\nu }_{\ell }$ transition form factors
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
• Chiral anomaly and the pion properties in the light-front quark model
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• The doubly virtual $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factors in the light-front quark model
• Twist-3 Distribution Amplitudes of Pion in the Light-Front Quark Model
• Improved estimates of the pion-photon transition form factor in the $(1\le {\mathbf{Q}}^2\le 5)$~GeV${}^2$ range and their theoretical uncertainties