We consider the phenomenon of spontaneous pair production in the presence of an external electric field for noncommutative Yang-Mills theories. Using Maldacena’s holographic conjecture, the threshold electric field for pair production is computed from the quark/antiquark potential for noncommutative theories. As an effect of noncommutativity, the threshold electric field is seen to be smaller than its commutative counterpart. We also estimate the correction to the production rate of quark/antiquark pairs to the first order of the noncommutative deformation parameter. Our result bears resemblance with an earlier related work (based on field-theoretic methods).

中文翻译：

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非交换史维杰效应的全息描述

对于非可交换Yang-Mills理论，我们考虑在存在外部电场的情况下自发产生对的现象。使用Maldacena的全息猜想，从非交换理论的夸克/反夸克电势计算出成对产生的阈值电场。由于非可交换性，阈值电场被认为小于其可交换对应的电场。我们还估计将夸克/反夸克对的生产率校正到非交换变形参数的一阶。我们的结果与先前的相关工作（基于场论方法）相似。