论文标题
量子校正以配对在De Sitter空间中产生带电的黑洞的生产
Quantum Corrections to Pair Production of Charged Black Holes in de Sitter Space
论文作者
论文摘要
我们计算了在四个维度引力欧拉 - 海森贝格模型中，带电的DE Sitter黑洞的欧几里得动作。事实证明，一般欧几里得二元电荷的黑洞的作用仍然受到黑洞外层和宇宙学范围贡献的总熵的控制。对于平滑的配置，欧几里得动作可以解释为DE Sitter空间中的黑洞生产率。我们表明，4个衍生耦合破坏了纯电动黑洞的生产速率和纯磁黑洞的对称性。尽管电磁二元性不再是对称性，但它诱导了4个衍生耦合的转换，将纯电黑洞的物理量映射到纯磁性黑洞的物理量，反之亦然。我们还观察到，在相同的转换下，对4个衍生耦合的单位性约束仍然不变。
We compute Euclidean action of charged de Sitter black holes in four dimensional gravitational Euler-Heisenberg model. It turns out that the action of a general Euclidean dyonically charged black hole is still controlled by the total entropy contributed by the black hole outer horizon and the cosmological horizon. For smooth configurations, the Euclidean action can be interpreted as the black hole production rate in de Sitter space. We show that the 4-derivative couplings break the symmetry between the production rate of the purely electric black hole and that of the purely magnetic black hole. Although electromagnetic duality is no longer a symmetry, it induces a transformation on the 4-derivative couplings, mapping the physical quantities of a purely electric black hole to those of a purely magnetic black hole and vice versa. We also observe that under the same transformation, unitarity constraints on the 4-derivative couplings remain invariant.
