玻色Teukolsky场在亚极端Kerr时空中的Unruh态
The Unruh state for bosonic Teukolsky fields on subextreme Kerr spacetimes
AI总结：
研究通过代数方法量子化Teukolsky场，并在Kerr背景上构建了Hadamard性质的Unruh态，扩展了该态的存在性和性质。
摘要：
我们采用量子场论的代数方法对Teukolsky标量场的自旋0、±1和±2进行了量子化。我们首先讨论了经典相空间，从而构建了代数。这揭示了哪些场是彼此共轭的。进一步，我们构建了该理论在Kerr背景下的Unruh态，并显示其在黑洞外部和内部（直到内视界）都是Hadamard态。这不仅表明该理论存在Hadamard态，还扩展了Unruh态的存在性和Hadamard性质到Kerr背景上的（玻色）Teukolsky场，此前此类结果尚不存在。
英文摘要：
We perform the quantization of Teukolsky scalars of spin $0$, $\pm 1$, and $\pm 2$ within the algebraic approach to quantum field theory. We first discuss the classical phase space, from which we subsequently construct the algebra. This sheds light on which fields are conjugates of each other. Further, we construct the Unruh state for this theory on Kerr and show that it is Hadamard on the black hole exterior and the interior up to the inner horizon. This shows not only that Hadamard states exist for this theory, but also extends the existence and Hadamard property of the Unruh state to (bosonic) Teukolsky fields on Kerr, where such a result was previously missing.
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