Product Integral Representations of Wilson Lines and Wilson Loops, and Non-Abelian Stokes Theorem

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dc.creatorKarp, R. L.
dc.creatorMansouri, F.
dc.creatorRno, J. S.
dc.date1999-03-25
dc.date.accessioned2026-07-07T04:26:10Z
dc.date.available2026-07-07T04:26:10Z
dc.descriptionWe 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.
dc.description20 pages, LaTex
dc.identifierhttps://arxiv.org/abs/hep-th/9903221
dc.identifierhttp://arxiv.org/abs/hep-th/9903221
dc.identifierTurk.J.Phys. 24 (2000) 365-384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55999
dc.subjectHigh Energy Physics - Theory
dc.titleProduct Integral Representations of Wilson Lines and Wilson Loops, and Non-Abelian Stokes Theorem
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