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

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

2001-11-15

arxiv.org/abs/hep-ph/0111196v2

Phys.Rev. D66 (2002) 054002

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 7 figures; three new paragraphs added: one (in sec. IV) discusses the relation between quark and gluon condensates,

Scientific paper

10.1103/PhysRevD.66.054002

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.

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