Simplified vacuum energy expressions for radial backgrounds and domain walls

  title={Simplified vacuum energy expressions for radial backgrounds and domain walls},
  author={Gerald V. Dunne and Klaus Kirsten},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • G. DunneK. Kirsten
  • Published 2 December 2008
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We extend our previous results of simplified expressions for functional determinants for radial Schrödinger operators to the computation of vacuum energy, or mass corrections, for static but spatially radial backgrounds, and for domain wall configurations. Our method is based on the zeta function approach to the Gel'fand–Yaglom theorem, suitably extended to higher-dimensional systems on separable manifolds. We find new expressions that are easy to implement numerically, for both zero and non… 

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