Space-time-resolved quantum electrodynamics description of Compton scattering
Space-time-resolved quantum electrodynamics description of Compton scattering
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DOI：
10.1103/physreva.102.062203
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发表时间：
2020-12
影响因子：
2.9
通讯作者：
S. Glasgow;M. Ware
中科院分区：
文献类型：
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作者：
S. Glasgow;M. Ware
接近量子电动力学(QED)场论的标准方法使用微扰S矩阵方法。这种方法是显式的非动力学的，并且只提供了由真相互作用场理论的“完全传播子”演化的初始态和由相应的非相互作用场理论的“自由传播子”演化的渐近等价的有效初始态之间的一次性静态映射。我们提供了一种非微扰和动力学的QED方法的详细推导，该方法允许人们直接研究电子-光子相互作用的时空动力学。作为这种方法的一个例子，我们计算了只有一维非平凡空间结构的系统的康普顿散射的时间分辨动力学，同时限制在单电子和至多一个光子的情况下。这种方法保留了量子电动力学的无质量光子，而不是以前诉诸于使用大质量玻色子的方法[T.cheng，E.R.Gospodarczyk，Q.Su，和R.Grobe，Ann。太棒了。325,265(2010)]来表示光子。利用随时间演化的联合概率分布说明了康普顿散射的动力学。这一信息与S矩阵提供的信息进行了比较。
The standard method for approaching quantum electrodynamic (QED) field theory uses a perturbative S-matrix approach. This approach is explicitly nondynamical and provides only a one-time, static map between an initial state to be evolved by the “full propagator” of a bona-fide interacting field theory and an asymptotically equivalent effective initial state to be evolved by the “free propagator” of the corresponding noninteracting field theory. We provide a detailed derivation of a nonperturbative and dynamical approach to QED that allows one to study the space-time dynamics of electron-photon interactions directly. As an example of this method, we compute the time-resolved dynamics of Compton scattering for a system with a nontrivial spatial structure in only one dimension while restricting to the case of a single electron and at most one photon. This approach retains the massless photon of quantum electrodynamics in contrast to previous approaches that resorted to using massive bosons [T. Cheng, E. R. Gospodarczyk, Q. Su, and R. Grobe, Ann. Phys. 325, 265 (2010)] to represent the photon. The dynamics of Compton scattering are illustrated using joint probability distributions that evolve in time. This information is compared to that provided by the S matrix.