English

The mixed quark-gluon condensate from an effective quark-quark interaction

High Energy Physics - Phenomenology 2009-10-30 v2 Nuclear Theory

Abstract

We exhibit the method for obtaining non perturbative quark and gluonic vacuum condensates from a model truncation of QCD. The truncation allows for a phenomenological description of the quark-quark interaction in a framework which maintains all global symmetries of QCD and allows an 1/N_c expansion. Within this approach the functional integration over the gluon fields can be performed and therefore any gluonic vacuum observable can be expressed in terms of a quark operator and the gluon propagator. As a special case we calculate the mixed quark gluon condensate. We investigate how the value depends on the form of the model quark-quark interaction. A comparison with the results of quenched lattice QCD, the instanton liquid model and QCD sum rules is drawn.

Keywords

Cite

@article{arxiv.hep-ph/9702293,
  title  = {The mixed quark-gluon condensate from an effective quark-quark interaction},
  author = {Thomas Meissner},
  journal= {arXiv preprint arXiv:hep-ph/9702293},
  year   = {2009}
}

Comments

10 pages, no figures, LATEX using elsart.sty, minor corrections in some formulas, some references added, to be published in PLB