发表机构
Universidade Federal Rural do Rio de Janeiro（里约热内卢联邦农村大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究均匀磁场背景下非线性电动力学的量子化，提出正则与路径积分量子化方法，推导线性化电动力学，讨论微观因果性，构建微扰形式并计算单圈有效势，结果可应用于修正麦克斯韦电动力学。
AI 中文摘要
本文提出了存在外电磁场（EM）时非线性电动力学的正则量子化与路径积分量子化方法。通过将一般非线性电动力学的拉格朗日量围绕背景场展开，保留传播场的小涨落至二次项，引入外EM背景场，由此得到由外EM场线性化的电动力学。据此，我们研究正则量子化，计算线性化EM场基态能量关于外磁场的表达式，并通过Pauli-Jordan函数讨论模型的微观因果性。我们还定义了线性化EM场的生成泛函，在库仑规范下得到模型的格林函数，可如标准量子场论（QFT）般构建微扰形式。作为微扰论的应用，计算了耦合复标量场的线性化EM场的单圈有效势，并将结果应用于修正麦克斯韦电动力学（Modified Maxwell ED）情形。
英文摘要
The canonical and path integral quantization for non-linear electrodynamics in the presence of an external electromagnetic (EM) field are proposed in this work. The EM background field is introduced expanding a general lagrangian of a generic non-linear electrodynamics around the background for small fluctuations of the propagating fields, where we consider up to the quadratic terms in the propagating fields. As consequence, we obtain an electrodynamics linearized by the presence of the external EM field. Thereby, we study the canonical quantization calculating the energy for the ground state of the linearized EM field in terms of an external magnetic field. The microcausality of the model also is discussed through the Pauli-Jordan function. We also define a generating functional for the linearized EM field, in which, in the Coulomb gauge, the Green function of the model is obtained, and we can construct the perturbative formalism like in standard quantum field theory (QFT). As application of the perturbation theory, the effective potential at one loop is calculated for the linearized EM field coupled to a complex scalar field. We apply the results in the case of the Modified Maxwell ED.
Comments27 pages, 1 figure. Accepted version in JHEP
