No-boundary wave function for two-field inflation

Abstract

In this paper, we investigate the no-boundary wave function and the complex-valued instantons for two-field inflation models that have different masses. If there is a relatively massive direction, to classicalize the massive field, the solution should start from the slow direction with relatively larger vacuum energy. Therefore, the existence of the massive direction implies the increase of expected $e$-foldings. The most probable $e$-foldings are approximately $\mathcal{N}\simeq (m_2/m_1{)}^2\times \mathcal{O}(1)$ in the $m_1\ll m_2$ limit. Therefore, as long as there is a sufficient mass hierarchy, the no-boundary wave function can reasonably explain large $e$-foldings, so to speak more than 50 $e$-foldings.

24 pages, 6 figures

References in corpus (17)

• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Planck 2013 results. XXII. Constraints on inflation
• Inflationary spacetimes are not past-complete
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Inflationary paradigm in trouble after Planck2013
• Approaches to Quantum Cosmology
• The Classical Universes of the No-Boundary Quantum State
• The No-Boundary Measure of the Universe
• Populating the Landscape: A Top Down Approach
• Why Does Inflation Start at the Top of the Hill?
• Quantum origin of the early inflationary Universe
• Tunnelling geometries I. Analyticity, unitarity and instantons in quantum cosmology
• Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making inflation exponentially more probable
• Toward inflation models compatible with the no-boundary proposal
• Euclidean quantum gravity and stochastic inflation
• No-boundary measure and preference for large e-foldings in multi-field inflation
• Resonant structure of space-time of early universe

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• Instantons near a tachyonic top in anti de Sitter and the no-boundary regulator