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.

arXiv comment16 pages, 5 figures. slight change in the title and a few typo corrections

References in corpus (39)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Light-Front Hadron Dynamics and AdS/CFT Correspondence
• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front
• Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Covariant and ligth-front approaches to the rho-meson eletromagnetic form factors
• Electromagnetic form factors of the $\rho$ meson in a light-front constituent quark model
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current
• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Light-Front Quark Model Analysis of Exclusive $0^{-}$$\to$$0^{-}$ Semileptonic Heavy Meson Decays
• Regularizing the Divergent Structure of the Light-Front Currents
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Consistent treatment of spin-1 mesons in the light-front formalism
• Pair term in the Electromagnetic Current within the Front-Form Dynamics: Spin-0 Case
• Pairs in the light-front and covariance
• Mixed quark-gluon condensate from instantons
• Nonvanishing zero modes in the light-front current
• Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson
• Transition Form Factors between Pseudoscalar and Vector Mesons in Light-Front Dynamics
• 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
• Twist-3 Distribute Amplitude of the Pion in QCD Sum Rules
• Light-front quark model analysis of rare $B\to K{\ell }^{+}{\ell }^{-}$ decays
• Twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules
• Vacuum condensates and the pion wave functions in the nonlocal chiral model
• Light-Front projection of spin-1 electromagnetic current and zero-modes
• Conformal Symmetry and Pion Form Factor: Soft and Hard Contributions
• Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking
• Pion Form Factor and Quark Mass Evolution in a Light-Front Bethe-Salpeter Model
• Light-front zero-mode contribution to the tensor form factors for the exclusive rare $P\to V{\ell }^{+}{\ell }^{-}$ decays
• The Nonperturbative Wave Functions, Transverse Momentum Distribution and QCD Vacuum Structure
• Light-front dynamic analysis of transition form factors in the process of $P\to V\ell {\nu }_{\ell }$
• Conformal Symmetry and Pion Form Factor: Space- and Time-like Region
• Comment on "Taming the pion cloud of the nucleon"

Cited by in corpus (23)

• Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model
• Light mesons within the basis light-front quantization framework
• Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factors
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• 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
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• 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
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• 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
• Systematic twist expansion of $({\eta }_c,{\eta }_b)\to {\gamma }^{\ast }\gamma$ transition form factors in 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
• Chiral anomaly and the pion properties in the light-front quark model
• Rho-meson properties in medium
• 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
• Light-Front Quark Model Analysis of Meson-Photon Transition Form Factor
• Light-Front Quark Model Phenomenology Consistent with Chiral Symmetry
• 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