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Résumé |
We discuss the intertwiner operator method introduced in arXiv:2411.08865 and its
application to gauge theories. We begin by reviewing the basic example of QED, and
then turn to more recent work in which the method was applied to topological field
theories, including BF theories, Chern–Simons theory, and three-dimensional
gravity. We construct the operator on foliated manifolds while preserving
covariance on the Cauchy surface, and we compare canonical and holomorphic
quantization, providing the intertwiner in both frameworks. As an application, we
derive the path ordering of Wilson loops in Chern–Simons theory. |
