Effective equations in quantum cosmology

Abstract

We develop a general framework for effective equations of expectation values in quantum cosmology and pose for them the quantum Cauchy problem with no-boundary and tunneling wavefunctions. Cosmological configuration space is decomposed into two sectors that give qualitatively different contributions to the radiation currents in effective equations. The field-theoretical sector of inhomogeneous modes is treated by the method of Euclidean effective action, while the quantum mechanical sector of the spatially homogeneous inflaton is handled by the technique of manifest quantum reduction to gauge invariant cosmological perturbations. We apply this framework in the model with a big negative non-minimal coupling, which incorporates a recently proposed low energy (GUT scale) mechanism of the quantum origin of the inflationary Universe and study the effects of the quantum inflaton mode.

33 pages, LaTeX2e

References in corpus (3)

• The Cosmic Triangle: Revealing the State of the Universe
• Inflation and Eternal Inflation
• Gravitational Waves in Open de Sitter Space

Cited by in corpus (9)

• Inflation scenario via the Standard Model Higgs boson and LHC
• Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
• Higgs boson, renormalization group, and naturalness in cosmology
• Tunneling cosmological state revisited: Origin of inflation with a non-minimally coupled Standard Model Higgs inflaton
• Two formalisms, one renormalized stress-energy tensor
• Braneworld effective action and origin of inflation
• Comments on the vacuum energy decay
• Duality of boundary value problems and braneworld action in curved brane models
• Quantum Cauchy problem in cosmology