A reparametrization invariant surface ordering

Details A reparametrization invariant surface ordering A reparametrization invariant surface ordering

2005-08-31

arxiv.org/abs/hep-th/0508243v3

JHEP 0511 (2005) 035

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, clarifications and added refs

Scientific paper

10.1088/1126-6708/2005/11/035

We introduce a notion of a non-Abelian loop gauge field defined on points in loop space. For this purpose we first find an infinite-dimensional tensor product representation of the Lie algebra which is particularly suited for fields on loop space. We define the non-Abelian Wilson surface as a `time' ordered exponential in terms of this loop gauge field and show that it is reparametrization invariant.

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