English

Perturbative QCD with Quark and Gluon Condensates

High Energy Physics - Phenomenology 2009-11-07 v1

Abstract

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 <ψˉψ>0<\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 <FμνFμν><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.

Keywords

Cite

@article{arxiv.hep-ph/0203236,
  title  = {Perturbative QCD with Quark and Gluon Condensates},
  author = {Paul Hoyer},
  journal= {arXiv preprint arXiv:hep-ph/0203236},
  year   = {2009}
}

Comments

12 pages, 2 figures