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The Abelian dominance for the string tension was shown for the fundamentalsources in MA gauge in the lattice simulations. For higher representations,however, it is also known that the naive "Abelian" Wilson loop, which isdefined by using the diagonal part of the gauge field, does not reproduce thecorrect behavior. To solve this problem, for an arbitrary representation of anarbitrary compact gauge group, we propose to redefine the "Abelian" Wilsonloop. By using this redefined operator, we demonstrate the "Abelian" dominancefor sources in the adjoint representation and the sextet representation of$SU(3)$ gauge group in lattice simulations.

Correct way to extract dominant part of the Wilson loop in higher representations