Quantization of Perturbations in Inflation

Abstract

The derivation of the angular spectrum of temperature perturbations of the cosmic microwave background relies on the quantization of field and metric perturbations in the inflationary phase. The quantization procedure thus deserves a close examination. As the background spacetime on which the degrees of freedom that are quantized live is curved, the methods of quantum field theory in curved spacetimes are applicable. Furthermore the dynamic system that is quantized contains a constraint, which adds an interesting problem to the quantization of the system. This article investigates the treatment of the constraints and the Weyl quantization of the system. A preferred quantization procedure is identified, which renders the field and metric perturbations non-local.

25 pages

References in corpus (3)

• Loop Quantum Gravity: An Inside View
• Cosmological Perturbation Theory in Slow-Roll Spacetimes
• QFT on quantum spacetime: a compatible classical framework

Cited by in corpus (5)

• Quantum Field Theory on Curved Backgrounds -- A Primer
• Inflation without quantum gravity
• The Lambda CDM-model in quantum field theory on curved spacetime and Dark Radiation
• The Semiclassical Einstein Equation on Cosmological Spacetimes
• Curvature fluctuations on asymptotically de Sitter spacetimes via the semiclassical Einstein's equations