The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.
The continuum approach to the BF vacuum: the U(1) case
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
A quantum representation of holonomies and exponentiated fluxes of a $U(1)$ gauge theory that contains the Pullin-Dittrich-Geiller (DG) vacuum is presented and discussed. Our quantization is performed manifestly in a continuum theory, without any discretization. The discretness emerges on the quantum level as a property of the spectrum of the quantum holonomy operators. The new type of a cylindrical consistency present in the DG approach, now follows easily and naturally. A generalization to the non--Abelian case seems possible.
fields
gr-qc 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Quantum geometry from higher gauge theory
The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.