Lattice study of area law for double-winding Wilson loops
Computing Research Center, High Energy Acceleration Research Organization (KEK), Oho 1-1, Tsukuba 305-0801, Japan
2 Oyama National College of Technology, Oyama 323-0806, Japan
3 Department of Physics, Faculty of Science, Chiba University, Chiba 263-8522, Japan
4 Department of Physics, Faculty of Science and Engineering, Chiba University, Chiba 263-8522, Japan
* Speaker, e-mail: firstname.lastname@example.org
Published online: 26 March 2018
We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on the lattice. We discuss how the area law falloff of the double-winding Wilson loop average is modified by changing the enclosing contours C1 and C2 for various values of the number of color N. By using the strong coupling expansion, we evaluate the double-winding Wilson loop average in the lattice SU(N) Yang-Mills theory. Moreover, we compute the double-winding Wilson loop average by lattice Monte Carlo simulations for SU(2) and SU(3). We further discuss the results from the viewpoint of the Non-Abelian Stokes theorem in the higher representations.
© The Authors, published by EDP Sciences, 2018
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