Beyond the thin-wall approximation: Precise numerical computation of prefactors in false vacuum decay
Nov, 2005Citations per year
Abstract:
We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a self-interacting scalar field theory modeling the process of nucleation in four dimensional spacetime. This technique does not rely on the thin-wall approximation. The method is based on the Gelfand-Yaglom approach to determinants of differential operators, suitably extended to higher dimensions using angular momentum cutoff regularization. A related approach has been discussed recently by Baacke and Lavrelashvili, but we implement the regularization and renormalization in a different manner, and compare directly with analytic computations made in the thin-wall approximation. We also derive a simple new formula for the zero mode contribution to the fluctuation prefactor, expressed entirely in terms of the asymptotic behavior of the classical bounce solution.- 11.27.+d
- 11.10.-z
- field theory: scalar
- vacuum state: decay
- tunneling
- field equations: bounce
- false vacuum
- numerical calculations
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