Evaluation of the cosmological constant in inflation with a massive non-minimal scalar field

Abstract

In Schroedinger picture we study the possible effects of trans-Planckian physics on the quantum evolution of massive non-minimally coupled scalar field in de Sitter space. For the nonlinear Corley-Jacobson type dispersion relations with quartic or sextic correction, we obtain the time evolution of the vacuum state wave functional during slow-roll inflation, and calculate explicitly the corresponding expectation value of vacuum energy density. We find that the vacuum energy density is finite. For the usual dispersion parameter choice, the vacuum energy density for quartic correction to the dispersion relation is larger than for sextic correction, while for some other parameter choices, the vacuum energy density for quartic correction is smaller than for sextic correction. We also use the backreaction to constrain the magnitude of parameters in nonlinear dispersion relation, and show how the cosmological constant depends on the parameters and the energy scale during the inflation at the grand unification phase transition.

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• New models of chaotic inflation in supergravity
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Does the BICEP2 Observation of Cosmological Tensor Modes Imply an Era of Nearly Planckian Energy Densities?
• The observational position of simple non-minimally coupled inflationary scenarios