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arXiv 0901.2680gr-qchep-th
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用准经典隧穿方法计算霍金辐射的注记

A note on the Hawking radiation calculated by the quasi-classical tunneling method

Ya-Peng Hu, Jing-Yi Zhang, Zheng Zhao

摘要:

自从Parikh和Wilczek的隧穿方法被提出以来,已经有了许多推广,例如它在大质量带电粒子隧穿和其他时空中的应用。此外,Angheben等人最近还提出了一种与坐标无关的隧道方法。然而,在计算霍金辐射时存在一些微妙的问题,特别是在计算霍金温度时存在所谓的因子2问题。关于这个问题,最流行的观点是它只是一个坐标选择的问题。然而,在其他处理之后,我们表明,我们也可以将这个问题视为一个不考虑P(吸收)贡献的问题。此外,我们还给出了平衡法的一些微妙之处,并与其他处理方法进行了比较。另外,Parikh和Wilczek的工作表明,如果考虑隧穿粒子的反作用,霍金辐射将发生修正,并且这种修正与幺正理论是一致的,我们进一步发现这种修正也与黑洞热力学定律有着内在的联系。此外,我们表明,这种隧道方法可能是有效的,只是当隧道过程是可逆的。

英文摘要:

Since Parikh and Wilczek's tunneling method was proposed, there have been many generalizations, such as its application to massive charged particles' tunneling and other spacetimes. Moreover, a variant tunneling method was also recently proposed by Angheben et al that it was independent of coordinates. However, there are some subtleties in the calculation of Hawking radiation, and particularly is the so-called factor of 2 problem during calculating the Hawking temperature. The most popular opinion on this problem is that it is just a problem of the choice of coordinates. However, following other treatments we show that we can also consider this problem as a problem that we do not consider the contribution from P(absorption). Moreover, we also give some subtleties in the balance method and some comparisons with other treatments. In addition, as Parikh and Wilczek's original works have showed that if one takes the tunneling particles' back-reaction into account, the Hawking radiation would be modified, and this modification is underlying consistent with the unitary theory, we further find that this modification is also underlying correlated with the laws of black hole thermodynamics. Furthermore, we show that this tunneling method may be valid just when the tunneling process is reversible.

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