Momentum dependent quark mass in two-point correlators

Abstract

A momentum dependent quark mass may be incorporated into a quark model in a manner consistent with dynamically broken chiral symmetry. We use this to study the high $Q^2$ behavior of the vector, axialvector, scalar and pseudoscalar two-point correlation functions. Expanding the results to order $1/Q^6$, we show the correspondence between the dynamical quark mass and the vacuum condensates which appear in the operator product expansion of QCD. We recover the correct leading logarithmic $Q^2$ dependence of the various terms in the OPE, but we also find substantial subleading corrections which are numerically huge in a specific case. We conclude by using the vector minus axialvector correlator to estimate the ${\pi }^{+}-{\pi }^0$ electromagnetic mass difference.

18 pages, LaTeX, figures in accompanying uuencoded postscript file. Published version. References added

References in corpus (2)

• Hadronic contribution to the photon vacuum polarization: a theoretical estimate
• Vector Meson Dominance and Free Quarks

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