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arXiv · 1503.00218

Thermal Interpretation of Schwinger Effect in Near-Extremal RN Black Hole

Sang Pyo Kim·Hyun Kyu Lee·Yongsung Yoon
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Abstract

We propose a thermal interpretation of the Schwinger effect for charged scalars and spinors in an extremal and near-extremal Reissner-Nordstr\"{o}m (RN) black hole. The emission of charges has the distribution with an effective temperature determined by the Davies-Unruh temperature for accelerating charges by the electric field and the scalar curvature of AdS_2 from the near-horizon geometry AdS_2 X S^2. We find a charge bound for the extremal micro black hole to remain stable against the Schwinger emission in analogy with the Breitenlohlner-Freedman bound for the AdS space. In the in-out formalism we find the one-loop QED effective action consistent with the vacuum persistence and interpret the vacuum persistence as the leading Schwinger effect and the effect of a charged vacuum of the Coulomb field.

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Sang Pyo Kim, Hyun Kyu Lee, Yongsung Yoon. 2015-03-01. Thermal Interpretation of Schwinger Effect in Near-Extremal RN Black Hole. https://arxiv.org/abs/1503.00218

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