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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/S0370-2693(97)00588-1

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.

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