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

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.