Phys. Rev. D 78, 063547 (2008) [31 pages]Anomaly freedom in perturbative loop quantum gravityReceived 7 July 2008; published 30 September 2008 A fully consistent linear perturbation theory for cosmology is derived in the presence of quantum corrections as they are suggested by properties of inverse volume operators in loop quantum gravity. The underlying constraints present a consistent deformation of the classical system, which shows that the discreteness in loop quantum gravity can be implemented in effective equations without spoiling space-time covariance. Nevertheless, nontrivial quantum corrections do arise in the constraint algebra. Since correction terms must appear in tightly controlled forms to avoid anomalies, detailed insights for the correct implementation of constraint operators can be gained. The procedures of this article thus provide a clear link between fundamental quantum gravity and phenomenology. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.063547
DOI:
10.1103/PhysRevD.78.063547
PACS:
98.80.Cq, 04.60.Pp, 98.80.Bp
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