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arXiv · 1112.0885

Schwinger mechanism in dS_2 and AdS_2 revisited

Sang Pyo Kim·W-Y. Pauchy Hwang·Tse-Chun Wang
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Abstract

Recalculating the Bogoliubov coefficients from the solutions in Phys. Rev. D 78, 103517 (2008), we obtain the mean number of boson pairs in a uniform electric field in the global coordinates dS_2 and AdS_2, which have the correct zero-field and zero-curvature limits, and study the vacuum persistence at one-loop. The mean number in AdS_2 gives the lowest limit to the Breitenloher-Freedman bound in the uniform electric field, and the mean numbers in dS_2 and AdS_2 satisfy the reciprocal relation N_{dS} (R, E) N_{AdS} (R, E) = 1 under the analytical continuation of the scalar curvature R.

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Sang Pyo Kim, W-Y. Pauchy Hwang, Tse-Chun Wang. 2011-12-05. Schwinger mechanism in dS_2 and AdS_2 revisited. https://arxiv.org/abs/1112.0885

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