The heavy quark potential from Wilson's exact renormalization group

Abstract.

We perform a calculation of the full momentum dependence of the gluon and ghost propagators in pure SU(3) Yang-Mills theory by integrating Wilson's exact renormalization group equations with respect to an infrared cutoff $k$. The heavy quark potential in the quenched approximation can be expressed in terms of these propagators. Our results strongly indicate a $1/p^4$-behaviour of the heavy quark potential for $p^2 \to 0$. We show in general, that effective actions which satisfy Schwinger-Dyson equations, correspond to (quasi-) fixed points of Wilson's exact renormalization group equations.