论文标题
在带电的黑洞背景上的带电标量字段的量化
Quantization of a charged scalar field on a charged black hole background
论文作者
论文摘要
我们研究了Reissner-Nordstrom黑洞背景上无带电标量场的规范量化。我们的目的是构建标准boulware，Unruh和Hartle-Hawking量子状态的类似物，这些状态可以为中性标量场定义，并通过计算两个量子状态之间的标量场凝结物，电流和应力能量张量操作员的期望值来探索其物理性能。这三个状态中的每一个都有非时代不变的``过去''和``Future''带电的场概括，其属性与相应的``过去''和````过去'''和``未来''状态相似。此外，我们提出了一些暂定的，时间反转的，平衡状态。第一个是``boulware'' - 就像状态一样，在未来和过去的零无限范围内都尽可能空。其次，我们认为``hartle-hawking'' - 可能对应于颗粒的热分布。这两个后一个国家的构建都依赖于使用非标准的换向关系来创建与超级模式有关的创建和歼灭操作员。
We study the canonical quantization of a massless charged scalar field on a Reissner-Nordstrom black hole background. Our aim is to construct analogues of the standard Boulware, Unruh and Hartle-Hawking quantum states which can be defined for a neutral scalar field, and to explore their physical properties by computing differences in expectation values of the scalar field condensate, current and stress-energy tensor operators between two quantum states. Each of these three states has a non-time-reversal-invariant ``past'' and ``future'' charged field generalization, whose properties are similar to those of the corresponding ``past'' and ``future'' states for a neutral scalar field on a Kerr black hole. In addition, we present some tentative, time-reversal-invariant, equilibrium states. The first is a ``Boulware''-like state which is as empty as possible at both future and past null infinity. Second, we posit a ``Hartle-Hawking''-like state which may correspond to a thermal distribution of particles. The construction of both these latter states relies on the use of nonstandard commutation relations for the creation and annihilation operators pertaining to superradiant modes.
