Schwinger Effect in Near Extremal Charged Black Holes

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题名:	Schwinger Effect in Near Extremal Charged Black Holes
作者:	唐富一;Tang, Fu-Yi
贡献者:	物理學系
关键词:	黑洞;AdS/CFT對偶;施溫格效應;Black Hole;AdS/CFT duality;Schwinger Effect
日期:	2017-07-27
上传时间:	2017-10-27 13:41:43 (UTC+8)
出版者:	國立中央大學
摘要:	我們在靠近視界且近極端帶電黑洞的時空下研究粒子的成對產生，由於背景電磁場以及視界的緣故，成對產生的機制有施溫格效應以及霍金輻射。首先我們研究了近視界幾何的全像對偶，其中 Reissner-Nordstr\"om 黑洞的近視界幾何是 AdS$_2$ $\times$ S$^2$，而 Kerr-Newman 黑洞的近視界幾何是 warped-AdS$_3$。根據AdS/CFT對偶，我們可以找到相對應的二維共形場論描述，而且每個帶電黑洞的守恆量(除了質量)會有相對應的共形場論圖像。我們也檢驗了在低能量探測場的情況下的非極端黑洞的全像描述。對於近極端帶電黑洞時空下的成對產生，在設定了邊界條件之後，我們對於純量場和旋量場分別計算了平均產生數，真空維持量以及吸收截面。特別的是，平均產生數有熱力學解釋而且可以用哈密頓-雅可比方法來獲得同樣的結果，其中平均產生數可以分成兩個部分來表示，一個是 AdS 時空下的施溫格效應，而另一個是 Rindler 時空下的施溫格效應。而且平均產生數和吸收截面也有二維共形場論描述。 ;We investigate the spontaneous pair productions in the near horizon regions of near extremal charged black holes, and the corresponding mechanisms are Schwinger effect and Hawking radiation due to the external electromagnetic fields and causal boundaries. Firstly, we study the holographic dualities for the near horizon geometries, which are AdS$_2$ $\times$ S$^2$ for Reissner-Nordstr\"om (RN) black hole and warped-AdS$_3=$ AdS$_2$ $\times$ S$^1$ for Kerr-Newman (KN) black hole. According to AdS/CFT correspondence, there are corresponding dual $2$-dimensional conformal field theory (CFT$_2$) descriptions, and will display individual pictures associated with the "hairs" (besides mass) carried by the charged black holes. The holographic dualities for non-extremal black hole are also investigated in low frequencies of the probe field. For pair productions in the near extremal charged black holes, we calculate the physical quantities, i.e., mean number of production, vacuum persistence amplitude, and absorption cross section, for both scalar and spinor cases after imposing the outer boundary condition. In particular, the mean number of production has thermal interpretations and can be evaluated by the Hamilton-Jacobi approaches, in which the contributions of production rate can be expressed in two parts, one is Schwinger effect in the AdS space, and the other is the same effect in the Rindler space. Moreover, the production rate and the absorption cross section also have dual CFT$_2$ descriptions based on the holographic dualities of charged black holes.
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