A reparametrization invariant surface ordering
نویسنده
چکیده
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. [email protected]
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