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Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity

Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity

We summarize the basics of the loop representation of quantum gravity and describe the main aspects of the formalism, including its latest developments, in a reorganized and consistent form. Recoupling theory, in its graphical tangle-theoretic Temperley-Lieb formulation, provides a powerful calculation tool in this context. We describe its application to …