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Effective Quark Interactions and QCD-Propagators

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arxiv hep-ph/9708425 v2 pith:ASBGP2WU submitted 1997-08-21 hep-ph nucl-th

Bastian Bergerhoff , Christof Wetterich (ITEP , Univ. Heidelberg) This is my paper · ORCID
classification hep-phnucl-th
keywords quarkeffectivefourgluonsinteractionmomentumrenormalizationresults
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the momentum dependence of the effective four quark interaction in QCD after integrating out the gluons. Our method is based on a truncation of exact renormalization group equations which should give reasonable results for momenta above the confinement scale. The difference between the four quark interaction and the heavy quark potential can be minimized for an optimal renormalization scheme in Landau gauge. Within the momentum range relevant for quarkonia our results agree with phenomenological potentials. We also calculate the propagators for gluons and ghosts in Landau-gauge.

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    A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.

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