Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-25
Turk.J.Phys. 24 (2000) 365-384
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, LaTex
Scientific paper
We make use of product integrals to provide an unambiguous mathematical representation of Wilson line and Wilson loop operators. Then, drawing upon various properties of product integrals, we discuss such properties of these operators as approximating them with partial sums, their convergence, and their behavior under gauge transformations. We also obtain a surface product integral representation for the Wilson loop operator. The result can be interpreted as the non-abelian version of Stokes theorem.
Karp Robert L.
Mansouri Freydoon
Rno Jung S.
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