Loop Quantum Cosmology corrections to inflationary models

TL;DR

Loop Quantum Cosmology modifies inflationary models by introducing corrections that affect the horizon scale and inflation potential, providing potential observational bounds on quantum gravity parameters.

Contribution

This paper demonstrates how LQC corrections influence inflationary scenarios, including horizon behavior and potential scale, linking quantum gravity to cosmological observations.

Findings

Effective sonic horizon becomes infinite after the bounce.

Inflationary potential scale increases due to LQC corrections.

COBE normalization sets an upper bound on quantum of length in LQG.

Abstract

In the recent years the quantization methods of Loop Quantum Gravity have been successfully applied to the homogeneous and isotropic Friedmann-Robertson-Walker space-times. The resulting theory, called Loop Quantum Cosmology (LQC), resolves the Big Bang singularity by replacing it with the Big Bounce. We argue that LQC generates also certain corrections to field theoretical inflationary scenarios. These corrections imply that in the LQC the effective sonic horizon becomes infinite at some point after the bounce and that the scale of the inflationary potential implied by the COBE normalisation increases. The evolution of scalar fields immediately after the Bounce becomes modified in an interesting way. We point out that one can use COBE normalisation to establish an upper bound on the quantum of length of LQG.