Lower Bound for the Multi-Field Bounce Action

Abstract

We present a lower bound for the multi-field bounce action with a quartic potential in the absence of gravity. We find that for a large number of fields the lower bound decreases with the number of fields as N^{-3}. This work clarifies previous statements made in numerical studies which found that the bounce action scales as N^{-2.66} and discusses some subtleties of studying field space trajectories.

References in corpus (5)

• Eternal inflation and its implications
• Inflation after False Vacuum Decay: Observational Prospects after Planck
• Numerical Approach to Multi Dimensional Phase Transitions
• Bispectrum from open inflation
• Vacuum decay in multidimensional field landscapes: thin, thick and intersecting walls

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