论文标题
罗宾边界条件的拓扑黑洞上的真空极化
Vacuum polarization on topological black holes with Robin boundary conditions
论文作者
论文摘要
我们计算渐近抗DE保姆背景上的无质量，共耦合标量场的重新归一化真空极化。混合（罗宾）边界条件应用于时空边界。我们认为具有非球场事件范围的黑洞以及球形事件范围。量子标量场处于hartle-hawking状态，我们采用欧几里得方法来计算重新归一化的期望值。远离黑洞，我们发现真空极化接近有限的极限，除了Dirichlet边界条件外，所有边界条件都相同。
We compute the renormalized vacuum polarization for a massless, conformally coupled scalar field on asymptotically anti-de Sitter black hole backgrounds. Mixed (Robin) boundary conditions are applied on the spacetime boundary. We consider black holes with nonspherical event horizon topology as well as spherical event horizons. The quantum scalar field is in the Hartle-Hawking state, and we employ Euclidean methods to calculate the renormalized expectation values. Far from the black hole, we find that the vacuum polarization approaches a finite limit, which is the same for all boundary conditions except Dirichlet boundary conditions.
