Loop representation and r-Fock measures for $SU(N)$ gauge theories

Abstract

In this article we continue the work on translating elements of the perturbative quantum field theory defined on Minkowski spacetime into the background independent framework of Loop Quantum Gravity. We present the construction of r-Fock measures for $SU(N)$ gauge theories and provide a relation between these new r-Fock measures and the difeomorphism invariant measure used in loop quantum gravity.

arXiv comment22 pages

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Cited by in corpus (2)

• Fermions in Loop Quantum Gravity and Resolution of Doubling Problem
• A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications