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\(R^2\) corrections to holographic Schwinger effect. (English) Zbl 1366.83094

Summary: We study \(R^2\) corrections to the holographic Schwinger effect in an AdS black hole background and a confining D3-brane background, respectively. The potential analysis for these backgrounds is presented. The critical values for the electric field are obtained. It is shown that for both backgrounds increasing the Gauss-Bonnet parameter the Schwinger effect is enhanced. Moreover, the results provide an estimate of how the Schwinger effect changes with the shear viscosity to entropy density ratio, \(\eta/s\), at strong coupling.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83C57 Black holes
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

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