Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions

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 ${}^{\prime }$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.

52 pages,16 figures

References in corpus (11)

• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• 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
• Pion and kaon valence-quark parton distribution functions
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Hadronic structure on the light-front IV: Heavy and light Baryons
• Hadronic structure on the light-front V. Diquarks, Nucleons and multiquark Fock components
• 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

Cited by in corpus (8)

• Pion gravitational form factors in the QCD instanton vacuum I
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Pion gravitational form factors in the QCD instanton vacuum II
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Photo-production of ${\eta }_{c,b}$ 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