关于匀加速参考系与史瓦西黑洞的量子标量场理论的注记
Remarks on quantum scalar field theory for a uniformly accelerated reference frame and a Schwarzschild black hole
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中文总结 AI 辅助
本文探讨二维和四维匀加速参考系与史瓦西黑洞的量子标量场理论，指出闵可夫斯基时空的部分量子态在林德勒时空具无穷能量，四维史瓦西黑洞的乌伦真空标准理论不自洽，还讨论克鲁斯卡尔-塞凯雷斯时空的理论自洽性问题。
中文摘要 AI 辅助
本文讨论了二维和四维情况下的匀加速参考系与史瓦西黑洞，重点关注对应量子标量场理论的形式方面。主要强调构建自洽的量子场理论，并突出其他文献中未考虑的问题。详细讨论了匀加速参考系情况下的一些病态：表明在闵可夫斯基时空定义良好的某些量子态，在林德勒时空中考虑时具有无穷大能量。对于四维史瓦西黑洞，表明提供乌伦真空态的标准理论是不自洽的。还讨论了克鲁斯卡尔-塞凯雷斯时空中量子标量场理论的自洽性问题。
英文摘要
In the present paper, the cases of a uniformly accelerated reference frame and a Schwarzschild black hole in two and four dimensions are discussed focusing on formal aspects of the corresponding quantum scalar field theories. The main emphasis is made on building consistent quantum field theories and highlighting the problems that are not considered elsewhere. In particular, some pathologies in the case of a uniformly accelerated reference frame are discussed in detail: it is shown that some quantum states that are well defined in Minkowski spacetime possess an infinite energy when considered in Rindler spacetime. In the case of a Schwarzschild black hole in four dimensions, it is shown that the standard theory providing the Unruh vacuum state turns out to be inconsistent. The problem of consistency of quantum scalar field theory in Kruskal-Szekeres spacetime is also discussed.
