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تسجيل مستخدم جديدCorrect way to extract dominant part of the Wilson loop in higher representations
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The Abelian dominance for the string tension was shown for the fundamental sources in MA gauge in the lattice simulations. For higher representations, however, it is also known that the naive Abelian Wilson loop, which is defined by using the diagonal part of the gauge field, does not reproduce the correct behavior. To solve this problem, for an arbitrary representation of an arbitrary compact gauge group, we propose to redefine the Abelian Wilson loop. By using this redefined operator, we demonstrate the Abelian dominance for sources in the adjoint representation and the sextet representation of $SU(3)$ gauge group in lattice simulations.
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In previous works, we have proposed a new formulation of Yang-Mills theory on the lattice so that the so-called restricted field obtained from the gauge-covariant decomposition plays the dominant role in quark confinement. This framework improves the
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