论文标题

从软量子电动力学中的二维形成性场理论在四个维度

Two Dimensional Conformal Field Theory from Soft Quantum Electrodynamics in Four Dimensions

论文作者

Fadda, Shehab, Nojiri, Shin'ichi

论文摘要

在这项工作中,我们提出了针对量子电动力学(QED)以4个维度出现的软模式的二维形成共形场理论的有效作用。这是通过两种方式激励的。首先,我们使用路径积分形式主义来激励对软模式的有效动作的概念。其次,通过注意固定量规固定QED动作的转换,我们推断了必要的边界条件以及控制IR部门的反行词的相应形式。我们使用路径积分方法回顾了软病房 - 塔卡哈西身份的推导,并提供了Qed动作的大规模变化后的替代推导。因为我们的有效行动是共形理论,所以我们计算了相关的中心电荷。

In this work, we propose an effective action of the two-dimensional conformal field theory for the Soft modes appearing in Quantum ElectroDynamics (QED) in 4 dimensions. This is motivated in two ways. First, we motivate the notion of an effective action for the Soft modes using the path integral formalism. Second, by noting the transformations of the on-shell gauge-fixed QED action, we deduce necessary boundary conditions and the corresponding form of the counter-terms that govern the IR sector. We review a derivation of the Soft Ward-Takahashi identity using path integral methods and offer an alternative derivation that follows from the large-gauge variations of the QED action. Because our effective action is that of a conformal theory, we calculate the relevant central charge.

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