Abstract
The possibility of a landscape of metastable vacua raises the question of what fraction of vacua are truly long lived. Naively any would-be vacuum state has many nearby decay paths, and all possible decays must be suppressed. An interesting model of this phenomena consists of N scalars with a random potential of fourth order. Here we show that the scaling of the typical minimal bounce action with N is readily understood, and differs from statements in the literature. We discuss the extension to more realistic landscape models.
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Dine, M., Paban, S. Tunneling in theories with many fields. J. High Energ. Phys. 2015, 88 (2015). https://doi.org/10.1007/JHEP10(2015)088
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DOI: https://doi.org/10.1007/JHEP10(2015)088