TL;DR
This paper explores quantum effects on phantom cosmology using renormalization group improvements, identifying conditions under which the universe avoids the big rip by reaching specific fixed points.
Contribution
It introduces a framework combining quantum modifications with phantom cosmology and analyzes fixed points to determine conditions preventing the big rip.
Findings
Renormalization group scale can freeze or evolve with the scale factor.
Certain fixed points lead to a universe dominated by dark matter.
The big rip can be avoided if the RG fixed point coincides with the cosmological fixed point.
Abstract
We consider quantum modifications to phantom cosmology in a Friedmann-Robertson-Walker spacetime. The cosmological evolution equations improved by the renormalization group are obtained. For exponential potential, we find two types of cosmological fixed point; the renormalization group scale either freezes in, or continues to evolve with scale factor. We discuss the implications of each of these points, and investigate especially whether the big rip can be avoided. If the fixed point of renormalization group flow coincides with the cosmological fixed point, the universe will be dominated by dark matter and will be free from the big rip.
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