Abelian monopole and center vortex views at the multi-instanton gas - art.no. 034503

We consider full non-Abelian, Abelian and center projected lattice field co nfigurations built up from random instanton gas configurations in the conti nuum. We study the instanton contribution to the (Q) over barQ force with r espect to (i) instanton density dependence, (ii) Casimir scaling and (iii) whether various versions of Abelian dominance hold. We check that the dilut e gas formulation for the interaction potential gives a reliable approximat ion only for densities small compared to the phenomenological value. We fin d that Casimir scaling does not hold, confirming earlier statements in the literature. We show that the lattice used to discretize the instanton gas c onfigurations has to be sufficiently coarse (a-2<(<rho>)over bar> compared with the instanton size <(<rho>)over bar>) such that maximal Abelian gauge projection and center projection as well as the monopole gas contribution t o the (Q) over barQ force reproduce the non-Abelian instanton-mediated forc e in the intermediate range of linear quasiconfinement. We demonstrate that monopole clustering also depends critically on the discretization scale co nfirming earlier findings based on monopole blocking.