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arXiv · 1711.04991

Anomaly free cosmological perturbations with generalised holonomy correction in loop quantum cosmology

Yu Han·Molin Liu
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Abstract

In the spatially flat case of loop quantum cosmology, the connection $\bar{k}$ is usually replaced by the holonomy $\frac{\sin(\barμk)}{\barμ}$ in the effective theory. In this paper, instead of the $\barμ$ scheme, we use a generalised, undertermined function $g(\bar{k},\bar{p})$ to represent the holonomy and by using the approach of anomaly free constraint algebra we fix all the counter terms in the constraints and find the restriction on the form of $g(\bar{k},\bar{p})$, then we derive the gauge invariant equations of motion of the scalar, tensor and vector perturbations and study the inflationary power spectra with generalised holonomy correction.

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Yu Han, Molin Liu. 2018-04-16. Anomaly free cosmological perturbations with generalised holonomy correction in loop quantum cosmology. https://doi.org/10.1088/1361-6382%2Faab671

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