Static QCD Potential at r < 1/LambdaQCD: Perturbative expansion and operator-product expansion

Abstract

We analyze the static QCD potential VQCD(r) in the distance region 0.1 fm < r < 1 fm using perturbative QCD and OPE as basic theoretical tools. We assemble theoretical developments up to date and perform a solid and accurate analysis. The analysis consists of 3 major steps: (I) We study large-order behavior of the perturbative series of VQCD(r) analytically. (II) In the frame of OPE, we define two types of renormalization schemes for the leading Wilson coefficient. (III) We compare numerically perturbative predictions of the Wilson coefficient and lattice computations of VQCD(r). We perform fits to simultaneously determine non-perturbative contribution and the relation between lattice scale and LambdaMSbar. (Short version)

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