Nearly perturbative lattice-motivated QCD coupling with zero IR limit

Abstract

The product of the gluon dressing function and the square of the ghost dressing function in the Landau gauge can be regarded to represent, apart from the inverse power corrections , a nonperturbative generalization of the perturbative QCD running coupling (). Recent large volume lattice calculations for these dressing functions indicate that the coupling defined in such a way goes to zero as when the squared momenta Q2 go to zero (). In this work we construct such a QCD coupling which fulfills also various other physically motivated conditions. At high momenta it becomes the underlying perturbative coupling to a very high precision. And at intermediate low squared momenta it gives results consistent with the data of the semihadronic τ lepton decays as measured by OPAL and ALEPH. The coupling is constructed in a dispersive way, resulting as a byproduct in the holomorphic behavior of in the complex Q2-plane which reflects the holomorphic behavior of the spacelike QCD observables. Application of the Borel sum rules to τ-decay V + A spectral functions allows us to obtain values for the gluon (dimension-4) condensate and the dimension-6 condensate, which reproduce the measured OPAL and ALEPH data to a significantly better precision than the perturbative coupling approach.