Backreaction in trans-Planckian cosmology: renormalization, trace anomaly and selfconsistent solutions

Details Backreaction in trans-Planckian cosmology: renormalization, trace anomaly and selfconsistent solutions Backreaction in trans-Planckian cosmology: renormalization, trace anomaly and selfconsistent solutions

2007-06-14

arxiv.org/abs/0706.2179v1

Phys.Rev.D76:024013,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 3 figures

Scientific paper

10.1103/PhysRevD.76.024013

We analyze the semiclassical Einstein equations for quantum scalar fields satisfying modified dispersion relations. We first discuss in detail the renormalization procedure based on adiabatic subtraction and dimensional regularization. We show that, contrary to what expected from power counting arguments, in 3+1 dimensions the subtraction involves up to the fourth adiabatic order even for dispersion relations containing higher powers of the momentum. Then we analyze the dependence of the trace of the renormalized energy momentum tensor with the scale of new physics, and we recover the usual trace anomaly in the appropriate limit. We also find selfconsistent de Sitter solutions for dispersion relations that contain up to the fourth power of the momentum. Using this particular example, we also discuss the possibility that the modified dispersion relation can be mimicked at lower energies by an effective initial state in a theory with the usual dispersion relation.

Affiliated with

Also associated with

No associations

Rating

Backreaction in trans-Planckian cosmology: renormalization, trace anomaly and selfconsistent solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Backreaction in trans-Planckian cosmology: renormalization, trace anomaly and selfconsistent solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Backreaction in trans-Planckian cosmology: renormalization, trace anomaly and selfconsistent solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-331684