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Effect of the gluon condensate on the holographic Schwinger effect

We perform the potential analysis in the holographic Schwinger effect in a deformed anti–de Sitter (AdS) background with backreaction due to the gluon condensate. We determine the potential by analyzing the classical string action attaching on a probe D3-brane sitting at an intermediate position in the bulk AdS space. It is found that the inclusion of the gluon condensate reduces the production rate, reverse to the effect of the temperature. Also, we evaluate the critical electric field by the Dirac-Born-Infeld (DBI) action.