Anti-Screening by Quarks and the Structure of the Inter-Quark Potential

Details Anti-Screening by Quarks and the Structure of the Inter-Quark Potential Anti-Screening by Quarks and the Structure of the Inter-Quark Potential

2005-10-10

arxiv.org/abs/hep-th/0510077v2

Phys.Lett. B632 (2006) 652-656

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, some clarifications and typographical corrections, to appear in Physics Letters B

Scientific paper

10.1016/j.physletb.2005.11.038

The inter-quark potential is dominated by anti-screening effects which underly asymptotic freedom. We calculate the order g^6 anti-screening contribution from light fermions and demonstrate that these effects introduce a non-local divergence. These divergences are shown to make it impossible to define a coupling renormalisation scheme that renormalises this minimal, anti-screening potential. Hence the beta function cannot be divided into screening and anti-screening parts beyond lowest order. However, we then demonstrate that renormalisation can be carried out in terms of the anti-screening potential.

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