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arXiv · hep-th/0508243

A reparametrization invariant surface ordering

Andreas Gustavsson
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Abstract

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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Andreas Gustavsson. 2005-12-03. A reparametrization invariant surface ordering. https://doi.org/10.1088/1126-6708%2F2005%2F11%2F035

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