Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-12-01
Phys.Rev. D68 (2003) 054503
Physics
High Energy Physics
High Energy Physics - Lattice
revtex, 10 pages, ITEP-LAT/2002-36
Scientific paper
10.1103/PhysRevD.68.054503
We derive the Abelian - like expression for the lattice SU(N) Wilson loop in arbitrary irreducible representation. The continuum Abelian representation of the SU(N) Wilson loop (for the loop without selfintersections) that has been obtained by Diakonov and Petrov appears to be a continuum limit of this expression. We also obtain the lattice variant of a non - Abelian Stokes theorem and present the explicit expression for the matrix $\cal H$ used in the Diakonov - Petrov approach.
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