TL;DR
This paper reviews the mathematical formulation of Wilson lines and loops using product integrals, discussing their gauge transformation properties, the non-abelian Stokes theorem, and consistency conditions.
Contribution
It provides a clear mathematical representation of Wilson operators and explores their properties and relations, enhancing understanding of gauge theories.
Findings
Mathematical representation of Wilson lines and loops clarified.
Behavior under gauge transformations analyzed.
Non-abelian Stokes theorem discussed.
Abstract
Using product integrals we review the unambiguous mathematical representation of Wilson line and Wilson loop operators, including their behavior under gauge transformations and the non-abelian Stokes theorem. Interesting consistency conditions among Wilson lines are also presented.
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