Quantum corrections during inflation and conservation of adiabatic perturbations

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.

References in corpus (11)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• On the one loop corrections to inflation and the CMB anisotropies
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Quantum radiative corrections to slow-roll inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• de Sitter limit of inflation and nonlinear perturbation theory
• Quantum Cosmological Correlations in an Inflating Universe: Can fermion and gauge fields loops give a scale free spectrum?
• Cosmological Perturbation Theory in Slow-Roll Spacetimes
• Non-Gaussian Correlations Outside the Horizon
• Non-Gaussian Correlations Outside the Horizon II: The General Case

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• Ultraviolet Divergences in Cosmological Correlations
• Path Integral for Inflationary Perturbations
• IR Divergences in Inflation and Entropy Perturbations
• IR Divergence in Inflationary Tensor Perturbations from Fermion Loops
• Bispectrum at 1-loop in the Effective Field Theory of Inflation
• BRST Quantization of Cosmological Perturbations