Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
arXiv:2302.03759 · doi:10.1103/PhysRevD.107.094024
Abstract
This work is a continuation in our series of papers, that addresses quark models of hadronic structure on the light front, motivated by the QCD vacuum structure and lattice results. The spontaneous breaking of chiral symmetry on the light front, is shown to parallel that in the rest frame, where the non-local instanton induced t Hooft interaction plays a central role. By rewriting this interaction solely in terms of the good component of the fermionic field, a scalar chiral condensate emerges in the mean-field approximation, which is identical to the one obtained in the rest frame. The pions and kaons emerge as deeply bound Goldstone modes in the chiral limit, with the scalar-isoscalar sigma meson mode as a threshold state with zero binding. We explicitly derive the light front distribution amplitudes (DAs) and partonic functions (PDFs) for these mesons. The DAs and PDFs are in good agreement with those extracted from the QCD instanton vacuum in the rest frame, using the large momentum effective theory (LaMET). The QCD evolved DAs and PDFs compare well with available measurements, as well as recent lattice results.
arXiv comment52 pages,16 figures
References in corpus (42)
- Instantons in QCD
- Parton Physics on Euclidean Lattice
- Light-Front Holographic QCD and Emerging Confinement
- Spectral Density of the QCD Dirac Operator near Zero Virtuality
- Imaging dynamical chiral symmetry breaking: pion wave function on the light front
- Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
- Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
- Pion Distribution Amplitude from Lattice QCD
- A nonlocal, covariant generalisation of the NJL model
- Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
- Pion and photon light-cone wave functions from the instanton vacuum
- Evolved QCD predictions for the meson-photon transition form factors
- Symmetry, symmetry breaking, and pion parton distributions
- Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
- Generalized parton distributions of the pion in chiral quark models and their QCD evolution
- Direct measurement of the pion valence quark momentum distribution, the pion light-cone wave function squared
- Pion valence quark distribution from current-current correlation in lattice QCD
- Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
- Valence-quark distribution functions in the kaon and pion
- Pion and kaon valence-quark parton distribution functions
- Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
- Valence-Quark Distribution of the Kaon and Pion from Lattice QCD
- Pion and Kaon Distribution Amplitudes in the Continuum Limit
- NJL model on the light cone and pion structure function
- Heavy Hadrons and QCD Instantons
- The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
- Nonperturbative partonic quasidistributions of the pion from chiral quark models
- Visualisation of Centre Vortex Structure
- Pion Distribution Amplitude and Quasi-Distributions
- Fundamental Properties of the Proton in Light-Front Zero Modes
- Pion and Kaon parton distributions in the QCD instanton vacuum
- Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
- Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model
- Mass structure of hadrons and light-front sum rules in t' Hooft model
- Hadronic structure on the light-front IV: Heavy and light Baryons
- The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
- Hadronic structure on the light-front V. Diquarks, Nucleons and multiquark Fock components
- Dynamical Chiral Symmetry Breaking on the Light Front.II. The Nambu--Jona-Lasinio Model
- Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum
- Hadronic structure on the light-front VI. Generalized parton distributions of unpolarized hadrons
- Visualisations of Centre Vortices
- Light Mesons on the Light Front
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- Photo-production of near Threshold
- Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
- Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions
- Different scenarios of dynamical chiral symmetry breaking in the interacting instanton liquid model via flavor symmetry breaking