Anomaly freedom in perturbative loop quantum gravity
By M. Bojowald, Golam Mortuza Hossain, Mikhail Kagan, S. Shankaranarayanan. 2008
141 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/351cf08d5830ce11185ba6d31e5c789c6e4458e9
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In Astronomy and Astrophysics
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Citations in the corpus
- Introduction to Loop Quantum Cosmology (2011, background): “The study of cosmological perturbations with inverse volume corrections [55, 56, 57, 62, 63, 64, 65, 81] is an example in this respect.”