Loop expansion and the bosonic representation of loop quantum gravity

E. Bianchi, J. Guglielmon, L. Hackl, N. Yokomizo

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We introduce a new loop expansion that provides a resolution of the identity in the Hilbert space of loop quantum gravity on a fixed graph. We work in the bosonic representation obtained by the canonical quantization of the spinorial formalism. The resolution of the identity gives a tool for implementing the projection of states in the full bosonic representation onto the space of solutions to the Gauss and area matching constraints of loop quantum gravity. This procedure is particularly efficient in the semiclassical regime, leading to explicit expressions for the loop expansions of coherent, heat kernel and squeezed states.

Original languageEnglish (US)
Article number086009
JournalPhysical Review D
Issue number8
StatePublished - Oct 26 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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