论文标题
伪量表操作员的共形异常
Conformal anomaly of pseudo-scalar operators
论文作者
论文摘要
我们研究四维场理论中伪量表（Parity-ODD）操作员的共形性能。此类操作员包括尺度理论和Yukawa耦合中的拓扑术语。我们表明，这种类型的单一操作员本身不能是保形的。仅对于伪量表运算符的某些混合物，例如$ {\ cal n} = 4 $ Super-Yang-Mills理论（$ {\ cal n}的手性Lagrangian）。我们检查了保形对称分解的详细机制，并得出了异常的保形病房身份。我们探讨了这种保形异常与轴向异常之间的可能联系。
We study the conformal properties of pseudo-scalar (parity-odd) operators in four-dimensional field theory. Such operators include the topological term in a gauge theory and the Yukawa coupling. We show that a single operator of this type cannot be a conformal primary on its own. This is only possible for certain mixtures of pseudo-scalar operators like the chiral Lagrangian of ${\cal N}=4$ super-Yang-Mills theory. We examine the detailed mechanism of conformal symmetry breakdown and derive an anomalous conformal Ward identity. We explore a possible link between this conformal anomaly and the axial anomaly.
