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arXiv · 1612.07087

Electromagnetic instability and Schwinger effect in the Witten-Sakai-Sugimoto model with D0-D4 background

Wenhe Cai·Kang-le Li·Si-wen Li
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Abstract

Using the Witten-Sakai-Sugimoto model in the D0-D4 background, we holographically compute the vacuum decay rate of the Schwinger effect in this model. Our calculation contains the influence of the D0-brane density which could be identified as the $\theta$ angle or chiral potential in QCD. Under the strong electromagnetic fields, the instability appears due to the creation of quark-antiquark pairs and the associated decay rate can be obtained by evaluating the imaginary part of the effective Euler-Heisenberg action which is identified as the action of the probe brane with a constant electromagnetic field. In the bubble D0-D4 configuration, we find the decay rate decreases when the $\theta$ angle increases since the vacuum becomes heavier in the present of the glue condensate in this system. And the decay rate matches to the result in the black D0-D4 configuration at zero temperature limit according to our calculations. In this sense, the Hawking-Page transition of this model could be consistently interpreted as the confined/deconfined phase transition. Additionally there is another instability from the D0-brane itself in this system and we suggest that this instability reflects to the vacuum decay triggered by the $\theta$ angle as it is known in the $\theta$-dependent QCD.

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Wenhe Cai, Kang-le Li, Si-wen Li. 2016-12-21. Electromagnetic instability and Schwinger effect in the Witten-Sakai-Sugimoto model with D0-D4 background. https://doi.org/10.1140/epjc%2Fs10052-019-7404-1

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