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Holographic Schwinger effect in a confining background with Gauss–Bonnet corrections

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Abstract

We study the effect of higher-derivative terms on holographic Schwinger effect by introducing the Gauss–Bonnet term in the gravity sector. Anti-de Sitter soliton background is considered which is dual to confining phase of the boundary field theory. By calculating the potential between the produced pair, we find that larger Gauss–Bonnet factor \(\lambda \) makes the pair lighter. We apply numerical method to calculate the production rate for various cases. The results show that the Gauss–Bonnet term enhances the production rate. The critical behaviors near the two critical values of the electric field are also investigated, and it is found that the two critical indexes are not affected by the Gauss–Bonnet term and thus suggests a possible universality.

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Acknowledgments

This work has been supported by CNPq (Brazil). SJZ Thanks the warm hospitality of Kavli Institute for Theoretical Physics China (KITPC) where part of the work was performed.

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Authors and Affiliations

  1. Instituto de Física, Universidade de São Paulo, C.P. 66318, São Paulo, SP, 05315-970, Brazil

    Shao-Jun Zhang & E. Abdalla

  2. Institute for Advanced Physics and Mathematics, Zhejiang University of Technology, Hangzhou, 310032, China

    Shao-Jun Zhang

  3. Kavli Institute for Theoretical Physics China, CAS, Beijing, 100190, China

    Shao-Jun Zhang

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  1. Shao-Jun Zhang
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  2. E. Abdalla
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Correspondence to Shao-Jun Zhang.

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Zhang, SJ., Abdalla, E. Holographic Schwinger effect in a confining background with Gauss–Bonnet corrections. Gen Relativ Gravit 48, 60 (2016). https://doi.org/10.1007/s10714-016-2056-z

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