论文标题
通过世界intline intsantons形式主义的某些依赖空间的电磁场的Schwinger对生产率和时间
Schwinger pair production rate and time for some space-dependent electromagnetic fields via worldline instantons formalism
论文作者
论文摘要
通过使用Worldline Instantons形式主义进行标量量子电动力学，分析研究了某些依赖空间的电磁场中的Schwinger对生产。随着修改后的Keldysh参数$γ_{keb} $的增加，对生产率降低，无论电磁场形式如何，Instanton路径的区域都会扩展。我们还发现，各种电磁场的intsantons的所有路径完全在同一平面，而具有不同的椭圆形。此外，具有不同外部电磁场的归一化激体动作的大小都在空间不均匀性领域的区域内从$π$到$2π$。我们在分析上进一步识别并获得了与世界激体款相关的两种成对生产时间。
Schwinger pair production in some of space-dependent electromagnetic fields is studied analytically by using worldline instantons formalism for scalar quantum electrodynamics. With the increase of the modified Keldysh parameter $γ_{keb}$, the pair production rate decreases, the region of instanton paths expands regardless of the electromagnetic field form. We also find that all of the paths of the instantons for various electromagnetic fields are exactly in the same plane while with the different elliptical shapes. Moreover, the magnitudes of the normalized instantons action with different external electromagnetic fields are all bounded within the region from $π$ to $2π$ in spatial inhomogeneity fields. We further analytically identify and obtain two kinds of the pair-production time associated to the worldline instantons action.
