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arxiv: hep-ph/0203236 · v1 · submitted 2002-03-25 · ✦ hep-ph

Perturbative QCD with Quark and Gluon Condensates

classification ✦ hep-ph
keywords gluonperturbativequarkmassmasslesspairsperturbationpqcd
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QCD perturbation theory using quark and gluon propagators that have an extra term at zero four-momentum is equivalent to standard PQCD in the presence of massless quark and gluon pairs in the perturbative vacuum. We verify at low orders in perturbation theory that $<\bar\psi\psi> \neq 0$ and that quarks acquire a constituent mass. Thus chiral symmetry is spontaneously broken, and the conservation of the axial vector current ensures a massless pion. The gluon pairs generate an $<F_{\mu\nu}F^{\mu\nu}>$ expectation value and a tachyonic gluon mass. Lorentz and gauge symmetry is preserved, and the short-distance structure of PQCD is unaffected. The modified perturbative expansion thus contains relevant elements of QCD at both short and long distances.

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