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.
Keywords
Cite
@article{arxiv.hep-ph/0111196,
title = {Vacuum condensates and the pion wave functions in the nonlocal chiral model},
author = {M. Praszalowicz and A. Rostworowski},
journal= {arXiv preprint arXiv:hep-ph/0111196},
year = {2009}
}
Comments
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