Group field theory as the second quantization of loop quantum gravity
By D. Oriti. 2013
172 citations recorded by the source corpus.
We construct a second quantized reformulation of canonical loop quantum gravity (LQG) 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 (GFT) 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.
Subfields: Neurology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a6e040105dedc64ad3e901e63688987fdcf38981
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In Neurology
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- The continuum limit of loop quantum gravity - a framework for solving the theory (2014, background): “To inquire more about this relation, it is essential to clarify the relations between the Hilbert spaces involved, as the notion of cylindrical consistency is rather different [73].”