Loop expansion and the bosonic representation of loop quantum gravity

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

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

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
Volume94
Issue number8
DOIs
StatePublished - Oct 26 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'Loop expansion and the bosonic representation of loop quantum gravity'. Together they form a unique fingerprint.

  • Cite this