# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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# Contribution Parallel

Seminarios 1+2
Vacuum Structure and Confinement

# Lattice study of area law for double-winding Wilson loops

## Speakers

• Akihiro SHIBATA

## Content

In this talk, 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 $C_1$ and $C_2$ 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.

## Preferred track (if multiple tracks have been selected)

Vacuum Structure and Confinement