Abstract
We perform the potential analysis in 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 Dirac-Born-Infeld (DBI) action.
Highlights
It is generally accepted that a vacuum in quantum field theory (QFT) is not barren
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
One can check that by turning off the gluon condensate effect in (30), the results of supersymmetric Yang-Mills (SYM) case [7] are recovered
Summary
It is generally accepted that a vacuum in quantum field theory (QFT) is not barren. The Schwinger effect is not confined to QED but ubiquitous for QFT coupled to an U(1) gauge field. A N 1⁄4 4 SYM theory system coupled with a U(1) gauge field can be realized by breaking the gauge group from SUðN þ 1Þ to SUðNÞ × Uð1Þ via the Higgs mechanism In this approach, the production rate and the critical electric field (at large N and large ’t Hooft coupling λ) are evaluated as pffiffi. The holographic Schwinger effect with constant electric and magnetic fields was considered in [15,16]. The aim of this paper is to study the effect of the gluon condensate on the (holographic) Schwinger effect. For more details about the two solutions, we refer to [36]
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