Application of higher order holonomy corrections to perturbation theory of cosmology

Abstract

Applying the higher order holonomy corrections to the perturbation theory of cosmology, the lattice power law of Loop Quantum Cosmology, $\tilde{\mu }\propto p^{\beta }$, is analysed and the range of $\beta$ is decided to be [-1,0] which is different from the conventional range $-0.1319>\beta \ge -5/2$ \cite{lqct}. At the same time, we find that there is a anomaly free condition in this theory, and we obtain this condition in the vector and tensor mode. We also find that the nonzero mass of gravitational wave essentially results from the quantum nature of Riemannian geometry of loop quantum gravity.

7 pages, 1 figures

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Cited by in corpus (7)

• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Primordial tensor power spectrum in holonomy corrected Omega-LQC
• Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data
• Scalar and tensor perturbations in loop quantum cosmology: High-order corrections
• Loop quantum cosmology: relation between theory and observations
• Anomaly freedom of the vector modes with holonomy corrections in perturbative Euclidean loop quantum gravity
• Adiabatic and non-adiabatic perturbations for loop quantum cosmology