论文标题
粒子物理学家的保形场理论
Conformal field theory for particle physicists
论文作者
论文摘要
这是关于保形场理论的一系列入门讲义。与大多数现有关于该主题的评论不同，从Minkowski时空中的统一量子场理论的角度来看，CFT是在此提出的。它始于量子场理论（Wightman Axioms）的非扰动表述，然后逐渐着重于尺度和特殊的保形对称性的含义，一直延伸到现代的形式的保形引导程序。这种方法包括经常遗漏的主题，例如Minkowski时空中的共形转换的微妙，Wightman函数的构建以及位于位置和动量空间中的时级相关器，源自光谱表示的单位性界限，以及UV和IR差异的外观。
This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. It begins with a non-perturbative formulation of quantum field theory (Wightman axioms), and then gradually focuses on the implications of scale and special conformal symmetry, all the way to the modern conformal bootstrap. This approach includes topics often left out, such as subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators both in position- and momentum-space, unitarity bounds derived from the spectral representation, and the appearance of UV and IR divergences.
