Vacuum condensates and the pion wave functions in the nonlocal chiral model

Abstract

We use the simple instanton motivated Nambu Jona-Lasinio - type model to calculate a twist 3 pseudoscalar pion light cone wave function. Using normalisation condition for this wave function we calculate the quark condensate and also the gluon condensate, which agree with the phenomenological values for these quantities. Since we can compute also the k_T^2 dependence of the light cone wave functions, we calculate k_T^2 moments of the pseudo-scalar and axial-vector wave functions which are related to the mixed vacuum condensates. This allows us to extract the condensates and compare them with existing estimates.

12 pages, 7 figures; three new paragraphs added: one (in sec. IV) discusses the relation between quark and gluon condensates, the other two (in secs. I and VI) clarify the difference between the normalisation scale Q_0, at which the condensates are evaluated, and the model parameter Lambda; new references added; to be published in Phys. Rev. D

References in corpus (4)

• QCD-based pion distribution amplitudes confronting experimental data
• Pion light cone wave function in the non-local NJL model
• Current mass dependence of the quark condensate and the constituent quark mass
• Vanishing dynamical quark mass at zero virtuality?

Cited by in corpus (24)

• Unbiased analysis of CLEO data at NLO and pion distribution amplitude
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Tagging the pion quark structure in QCD
• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis
• Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
• Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• Pion radiative weak decays in nonlocal chiral quark models
• Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking
• Forward-like functions for dual parametrization of GPDs from nonlocal chiral quark model
• Covariant Non-local Chiral Quark Model and Pion-photon Transition Distribution Amplitudes
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Form factors of radiative pion decays in nonlocal chiral quark models
• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• On the second Gegenbauer moment of $\rho$-meson distribution amplitude
• The quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions
• Photon Distribution Amplitudes in nonlocal chiral quark model
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models
• Off-shell photon distribution amplitudes in the low-energy effective theory of QCD
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --