Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-02
J.Phys.A42:075402,2009
Physics
High Energy Physics
High Energy Physics - Theory
30 pages
Scientific paper
10.1088/1751-8113/42/7/075402
We extend our previous results of simplified expressions for functional determinants for radial Schr\"odinger 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 nonzero temperature.
Dunne Gerald
Kirsten Klaus
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