A reparametrization invariant surface ordering
High Energy Physics - Theory
2009-11-11 v3
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.
Cite
@article{arxiv.hep-th/0508243,
title = {A reparametrization invariant surface ordering},
author = {Andreas Gustavsson},
journal= {arXiv preprint arXiv:hep-th/0508243},
year = {2009}
}
Comments
11 pages, clarifications and added refs