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Free keywords:
General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
We construct a 2nd quantized reformulation of canonical Loop Quantum Gravity
at both kinematical and dynamical level, in terms of a Fock space of spin
networks, and show in full generality that it leads directly to the Group Field
Theory formalism. In particular, we show the correspondence between canonical
LQG dynamics and GFT dynamics leading to a specific GFT model from any
definition of quantum canonical dynamics of spin networks. We exemplify the
correspondence of dynamics in the specific example of 3d quantum gravity. The
correspondence between canonical LQG and covariant spin foam models is obtained
via the GFT definition of the latter.
