PoS - Proceedings of Science
Volume 336 - XIII Quark Confinement and the Hadron Spectrum (Confinement2018) - A: Vacuum structure and confinement
Correct way to extract the dominant part of the Wilson loop in higher representations
R. Matsudo*, A. Shibata, S. Kato and K.I. Kondo
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Pre-published on: September 12, 2019
Published on: September 26, 2019
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.
DOI: https://doi.org/10.22323/1.336.0052
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