Quantum tunneling beyond semiclassical approximation
Quantum tunneling beyond semiclassical approximation
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DOI：
10.1088/1126-6708/2008/06/095
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发表时间：
2008-05
影响因子：
5.4
通讯作者：
R. Banerjee;B. R. Majhi
中科院分区：
文献类型：
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作者：
R. Banerjee;B. R. Majhi
通过哈密顿 - 雅可比方法在半经典近似之外对霍金辐射作为隧穿进行了分析。我们计算了单粒子作用量中的所有量子修正，发现这些修正与通常的半经典贡献成正比。我们表明，对比例常数的一种简单选择可重现通过共形场论方法发现的时空单圈反作用效应，该效应改变了黑洞的霍金温度。利用黑洞力学定律，我们根据修正后的霍金温度给出了对贝肯斯坦 - 霍金面积定律的修正。还明确地计算了一些例子。
Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical contribution. We show that a simple choice of the proportionality constants reproduces the one loop back reaction effect in the spacetime, found by conformal field theory methods, which modifies the Hawking temperature of the black hole. Using the law of black hole mechanics we give the corrections to the Bekenstein-Hawking area law following from the modified Hawking temperature. Some examples are explicitly worked out.