Potential analysis in holographic Schwinger effect in Einstein–Maxwell–Gauss–Bonnet gravity

Abstract

We perform the potential analysis in holographic Schwinger effect in Einstein–Maxwell–Gauss–Bonnet (EMGB) gravity. The static potential is evaluated by the classical string action attaching on a probe D3-brane sitting at an intermediate position in the bulk anti-de Sitter (AdS) space. It is shown that chemical potential μ and positive Gauss–Bonnet (GB) coefficient λGB enhance the production rate while negative λGB reduce it. Also, we determine the critical electric field by Dirac–Born–Infeld (DBI) action.