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arXiv 1210.8355gr-qchep-phhep-th
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对霍金辐射谱的量子修正

Quantum corrections to the Hawking radiation spectrum

Youngsub Yoon

摘要:

1995年,贝肯斯坦和穆哈诺夫提出,如果面积谱被量子化,允许的面积是单个单位面积的整数倍,那么霍金辐射谱就是离散的。然而,在1996年,Barreira、Carfora和Rovelli认为,如果面积谱是用无限个单位面积量子化的,就像圈量子引力预测的那样,而不是用贝肯斯坦和穆哈诺夫考虑的单个单位面积量子化的,那么霍金辐射谱是连续的。在本文中,与Barreira,Carfora和Rovelli的观点相反,我们证明了当面积谱如圈量子引力预测的那样被量子化时,霍金辐射谱仍然是离散的。特别是,我们表明,对于一个给定温度的黑洞,霍金辐射频谱截断在低于一定频率的频率。

英文摘要:

In 1995, Bekenstein and Mukhanov suggested that the Hawking radiation spectrum was discrete if the area spectrum was quantized in such a way that the allowed areas were integer multiples of a single unit area. However, in 1996, Barreira, Carfora, and Rovelli argued that the Hawking radiation spectrum was continuous if the area spectrum was quantized with an infinite number of unit areas, as predicted by loop quantum gravity, rather than quantized with the single unit area considered by Bekenstein and Mukhanov. In this paper, contrary to what Barreira, Carfora, and Rovelli argued, we show that the Hawking radiation spectrum is still discrete when the area spectrum is quantized as loop quantum gravity predicts. In particular, we show that, for a black hole of a given temperature, the Hawking radiation spectrum is truncated at frequencies below a certain frequency.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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