Quantum corrections during inflation and conservation of adiabatic perturbations
High Energy Physics - Theory
2010-04-06 v1 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
Abstract
The possibility that quantum corrections break the conservation of superhorizon adiabatic perturbations in single field inflation is examined. I consider the lowest order corrections from massless matter fields in the Hamiltonian formalism. Particular emphasis is therefore laid on the renormalization. The counterterms are the same as in the Lagrangian formalism. The renormalized value of the tadpole is zero. I find a possible secular dependence of the power spectrum at one loop due to the trace anomaly, but this result depends on the approximation of the modes and is inconclusive. The symmetry (not) violated by the quantum corrections is the invariance by dilatation. Perspectives on the backreaction problem are briefly discussed.
Keywords
Cite
@article{arxiv.0908.3642,
title = {Quantum corrections during inflation and conservation of adiabatic perturbations},
author = {David Campo},
journal= {arXiv preprint arXiv:0908.3642},
year = {2010}
}