We discuss the semiclassical limit of quantum reduced loop gravity, a recently proposed model to address the quantum dynamics of the early Universe. We apply loop quantum gravity (LQG) techniques in order to define the semiclassical states in the kinematical Hilbert space and we demonstrate that the expectation value of the euclidean scalar constraint coincides with the classical expression, i.e., one of the local Bianchi I dynamics. The result holds as a leading order expansion in the scale factors of the Universe and opens the way to study the subleading corrections to the semiclassical dynamics. We outline how by retaining a suitable finite coordinate length for holonomies that our effective Hamiltonian at the leading order coincides with the one expected from loop quantum cosmology (LQC). This result is an important step in fixing the correspondence between LQG and LQC.

Quantum reduced loop gravity: Semiclassical limit

ALESCI, Emanuele;
2014

Abstract

We discuss the semiclassical limit of quantum reduced loop gravity, a recently proposed model to address the quantum dynamics of the early Universe. We apply loop quantum gravity (LQG) techniques in order to define the semiclassical states in the kinematical Hilbert space and we demonstrate that the expectation value of the euclidean scalar constraint coincides with the classical expression, i.e., one of the local Bianchi I dynamics. The result holds as a leading order expansion in the scale factors of the Universe and opens the way to study the subleading corrections to the semiclassical dynamics. We outline how by retaining a suitable finite coordinate length for holonomies that our effective Hamiltonian at the leading order coincides with the one expected from loop quantum cosmology (LQC). This result is an important step in fixing the correspondence between LQG and LQC.
90
2
1
22
024006
https://arxiv.org/abs/1402.3155
http://inspirehep.net/record/1281222
http://cdsads.u-strasbg.fr/abs/2014PhRvD..90b4006A
Alesci, Emanuele; Cianfrani, F.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/32580
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 33
  • ???jsp.display-item.citation.isi??? 34
social impact