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In the past few years, we have presented a new way of considering quarkconfinement. Through a careful choice of a Cho-Duan-Ge Abelian Decomposition,we can construct the QCD Wilson Loop in terms of an Abelian restricted field.The relationship between the QCD and restricted string tensions is exact; andwe do not need to gauge fix, apply any path ordering of gauge links, oradditional path integrals. This hints at why mesons are colour neutral.  Furthermore, the Abelian restricted field contains two parts: a Maxwell term,and a topological term. The topological term can describe magnetic monopolesand other topological objects, which can be studied both numerically andtheoretically. By examining the topological part of the restricted fieldstrength we have found evidence suggesting that these objects, which willcontribute to confinement if present, are indeed there.  Previous studies have used simplifications, breaking the exact relationshipbetween the restricted and QCD string tensions, but it was found that thetopological term dominated the restricted string tension. Here we remove thosesimplifications, and show that the Abelian restricted field does indeed fullyexplain confinement. However, our results for how much of the restricted stringtension arises from the topological objects show strong dependence on thelattice spacing and level of smearing, so we are not yet able to draw adefinitive conclusion.

Confinement, the Abelian Decomposition, and the Contribution of Topology to the Static Quark Potential