Quantum corrections during inflation and conservation of adiabatic perturbations

Details Quantum corrections during inflation and conservation of adiabatic perturbations Quantum corrections during inflation and conservation of adiabatic perturbations

2009-08-25

arxiv.org/abs/0908.3642v1

Phys.Rev.D81:043535,2010

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.81.043535

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.

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