Document Type

Article

Publication Date

1-22-2021

Abstract

It has been pointed out that the holonomy of generic extended loops is not gauge covariant. We show how to define a family of extended loops for which previous criticism does not apply. We also give sufficient conditions that extended loops must satisfy in order to yield covariant holonomies. This makes a quantum representation for Yang-Mills theories and gravity based on extended loops viable.

Publication Source (Journal or Book title)

Classical and Quantum Gravity

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