Emergence of a low spin phase in group field theory condensates
File(s)lowj.pdf (185.27 KB)
Accepted version
Author(s)
Gielen, SCM
Type
Journal Article
Abstract
Recent results have shown how quantum cosmology models can b
e derived from the effective dynamics of condensate states in group field theory (GFT), where ‘cosmology is the hydrodynamics of quantum gravity’: the classical Friedman n dynamics for homogeneous,
isotropic universes, as well as loop quantum cosmology (LQC
) corrections to general relativity have been shown to emerge from fundamental quantum gravity. We take one further step
towards strengthening the link with LQC and show, in a class of GFT models for gravity coupled to a free massless scalar field and for generic initial conditions, that GFT condensates dynamically reach a low spin phase of many quanta of geometry, in which all but an
exponentially small number of quanta are characterised by a single spin
j0 (i.e. by a constant volume per quantum). As the low spin regime is reached, GFT co ndensates expand to exponentially large volumes, and the dynamics of the total volume follows precisely the classical
Friedmann equations. This behaviour follows from a single requirement on the couplings in the GFT model under study. We present one particular simple case in which the dominant spin is the lowest one: j0= 0 or, if this is excluded, j0= 1/2. The type of quantum state usually assumed in the derivation of LQC is hence derived fro
m the quantum dynamics of GFT. These results confirm and extend recent results by Oriti, Sindoni and Wilson-Ewing in the same setting.
e derived from the effective dynamics of condensate states in group field theory (GFT), where ‘cosmology is the hydrodynamics of quantum gravity’: the classical Friedman n dynamics for homogeneous,
isotropic universes, as well as loop quantum cosmology (LQC
) corrections to general relativity have been shown to emerge from fundamental quantum gravity. We take one further step
towards strengthening the link with LQC and show, in a class of GFT models for gravity coupled to a free massless scalar field and for generic initial conditions, that GFT condensates dynamically reach a low spin phase of many quanta of geometry, in which all but an
exponentially small number of quanta are characterised by a single spin
j0 (i.e. by a constant volume per quantum). As the low spin regime is reached, GFT co ndensates expand to exponentially large volumes, and the dynamics of the total volume follows precisely the classical
Friedmann equations. This behaviour follows from a single requirement on the couplings in the GFT model under study. We present one particular simple case in which the dominant spin is the lowest one: j0= 0 or, if this is excluded, j0= 1/2. The type of quantum state usually assumed in the derivation of LQC is hence derived fro
m the quantum dynamics of GFT. These results confirm and extend recent results by Oriti, Sindoni and Wilson-Ewing in the same setting.
Date Acceptance
2016-09-20
Citation
Classical and Quantum Gravity
ISSN
1361-6382
Publisher
IOP Publishing
Journal / Book Title
Classical and Quantum Gravity
Copyright Statement
© 2016 IOP Publishing.
Sponsor
European Commission Directorate-General for Research and Innovation
Subjects
Nuclear & Particles Physics
02 Physical Sciences
01 Mathematical Sciences
Publication Status
Accepted