• DOI:10.1103/PhysRevD.72.125004
• Corpus ID: 20195144

Beyond the thin-wall approximation : Precise numerical computation of prefactors in false vacuum decay

@article{Dunne2005BeyondTT,
  title={Beyond the thin-wall approximation : Precise numerical computation of prefactors in false vacuum decay},
  author={Gerald V. Dunne and Hyunsoo Min},
  journal={Physical Review D},
  year={2005},
  volume={72},
  pages={125004}
}

• G. Dunne, Hyunsoo Min
• Published 15 November 2005
• Physics
• Physical Review D

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 space-time. 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.