Derivation of non-renormalization theorems using the exact renormalization group

在这个项目中，我们的目的是利用精确重整化群的场论公式，对各种非重整化定理进行合理的推导。我们将QED中的轴向异常重新表述为与规范固定参数无关的规范不变复合算子之间的方程。因此，我们确定了轴向异常方程不存在辐射修正。我们的证明推广了A. Zee在70年代初给出的证明。

In this project we have aimed at a sound derivation of various non-renormalization theorems using the formulation of field theory in terms of the exact renormalization group. We have reformulated the axial anomaly in QED as an equation among gauge invariant composite operators which are also independent of the gauge fixing parameter. As a consequence we have established the absence ofradiative corrections to the axial anomaly equation. Our proof generalizes the proofgiven by A. Zee in the early 70's.