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arXiv 0812.0620hep-thmath-phmath.MP
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径向本底和畴壁真空能的简化表达式

Simplified Vacuum Energy Expressions for Radial Backgrounds and Domain Walls

Gerald Dunne, Klaus Kirsten

摘要:

我们扩展我们以前的结果简化表达式的径向薛定谔算子的真空能量的计算,或质量校正,静态的,但空间径向背景,和畴壁配置的功能决定因素。我们的方法是基于Zeta函数的方法的凝胶'fand-Yaglom定理,适当地扩展到高维系统上的可分流形。我们发现新的表达式,很容易实现数值,零和非零温度。

英文摘要:

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 nonzero temperature.

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