Researches on the electron-positron pair production in the presence of the intense laser field are reviewed, motivated by the theoretical importance of the nonperturbative QED problem and the worldwide development of high power laser facilities. According to the distinct experimental requirements and theoretical methods, two types of pair production are elaborated, which are, respectively, pair production in the combination of a seed particle and the strong laser, and vacuum pair production without a seed particle. The origin of the nonperturbative problem caused by the strong field is analyzed. The main ideas, realisation, achievements, validity, challenges and bottleneck problems of the nonperturbative methods developed for each type of the pair production problem are discussed.

中文翻译：

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强激光场种子和真空对生产

受非微扰 QED 问题的理论重要性和高功率激光设备的全球发展的推动，综述了在强激光场存在下电子 - 正电子对产生的研究。根据不同的实验要求和理论方法，阐述了两种类型的对产生，分别是种子粒子和强激光结合的对产生和无种子粒子的真空对产生。分析了强场引起的非微扰问题的根源。讨论了为每种类型的对产生问题开发的非微扰方法的主要思想、实现、成就、有效性、挑战和瓶颈问题。