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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
How to extract the "Abelian" part of double-winding Wilson loop
R. Matsudo
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Pre-published on: 2019 December 05
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Abstract
It is known that the naive Abelian Wilson loop defined by the Abelian projection cannot reproduce the correct behavior of the double-winding Wilson loop. It is also known that the naive Abelian Wilson loop cannot reproduce the correct behavior of the Wilson loops in higher representations, but this problem was recently solved by using the redefined "Abelian" Wilson loop. In this talk, we will give another reason why this redefined "Abelian" Wilson loop behaves correctly, and by following the same line of the argument, we will propose redefined "Abelian" double-winding Wilson loop which is considered to behave correctly.
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