霍金輻射及穿隧效應的相關研究

最近以來，越來越多的研究聲稱霍金輻射在固定的黑洞時空背景下，霍金溫度存在著所謂的修正項。然而，這些溫度修正項的存在是非常不合理的事情，理由在於我們可以透過其他的方法計算霍金溫度而不會得到多餘的修正出現。再者，霍金輻射是單圈的量子效應，很多研究認為修正項是由於多圈效應所造成，這樣的觀點其實是錯誤的。在本篇論文中我們在林德勒座標下討論霍金輻射的穿隧效應，並且利用相位積分取代原先的WKB近似方法,而在此積分方法下我們可以得到正常的波茲曼因子。此外,利用相位積分去計算所謂的高階修正項,我們發現其實這些項是由於一開始對於粒子能量的錯誤定義所導致的。最後,我們修正了此能量定義進而得到正確的霍金溫度。

關鍵字

霍金輻射；施溫格機制；林德勒座標；盎魯效應；黑洞

並列摘要

It has recently, and repeatedly, been claimed that higher-order corrections to the Hawking temperature can be calculated in a frame where a free particle tunnels from the event horizon of a stationary (static) black hole background. The existence of such corrections is odd for many reasons. First, these claims study a free field on a background metric which is stationary and static, such that what is calculated cannot be one-loop effect. Moreover, the Hawking temperature can be calculated exactly through various methods, and no other higher-order corrections are found. In this thesis we verify the Hawking radiation as quantum tunneling of fields crossing the horizon by using Rindler coordinate. Representing the spacetime near the horizon locally as a Rindler spacetime, we find the tunneling rate, which can be expressed as a contour integral and gives the correct Boltzmann factor. In addition, we also calculated the high-order terms of the tunneling rate. Finally, we argue that the high-order corrections originate from a misleading definition of the energ

並列關鍵字

Hawking radiation ； Schwinger mechanism ； Rindler coordinate ； Unruh effect ； Black holes

參考文獻

[37] Satoshi Iso, Hiroshi Umetsu, and Frank Wilczek, “Anomalies, Hawking Radiations

[32] Bhramar Chatterjee, A. Ghosh and P. Mitra, “Tunnelling from black

[61] D. Singleton, E.C. Vagenas, T. Zhu, J.R. Ren, JHEP. 1008, 089 (2010).

[45] A. Casher, H. Neuberger, and S. Nussinov, Phys. Rev. D20, 179 (1979); H.

[1] J.D. Bekenstein, “Black holes and Entropy”, phys. Rev. D7 , 2333-2346 (1973).

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霍金輻射及穿隧效應的相關研究

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