论文标题
非本地量子电动力学的重新归一化和共形不变性
Renormalization and conformal invariance of non-local quantum electrodynamics
论文作者
论文摘要
我们研究了非本地量子电动力学(QED)的重新归一化组流量。我们确定了该理论在红外线中流向局部理论的状态,并研究了四维QED的紫外线完成。此外,我们发现存在非本地保形理论,其在三个维度中的QED的一维形成歧管和非本地变形的三个维度完全是边缘的。在此过程中,我们开发了将非本地衍生物耦合到外部来源的方法,并讨论这些理论的单位性和保形与规模不变性。
We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED. In addition, we find that there exist non-local conformal theories with a one-dimensional conformal manifold and non-local deformations of QED in three dimensions that are exactly marginal. Along the way we develop methods for coupling non-local derivatives to external sources and discuss unitarity and conformal vs. scale invariance of these theories.