Thermal Interpretation of Schwinger Effect in NearExtremal RN Black Hole
Abstract
We propose a thermal interpretation of the Schwinger effect for charged scalars and spinors in an extremal and nearextremal ReissnerNordström (RN) black hole. The emission of charges has the distribution with an effective temperature determined by the DaviesUnruh temperature for accelerating charges by the electric field and the scalar curvature of AdS_2 from the nearhorizon 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 BreitenlohlnerFreedman bound for the AdS space. In the inout formalism we find the oneloop 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.
 Publication:

arXiv eprints
 Pub Date:
 March 2015
 arXiv:
 arXiv:1503.00218
 Bibcode:
 2015arXiv150300218K
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 LaTex, 13 pages, no figure