Other than sharing the word “anomalous”, both the anomalous dimension in RG and the more well-known quantum anomalies (such as chiral anomaly) share a common feature. These are violations of classical symmetries at a quantum level. Anomalous dimension violates the classical scaling symmetry, and for example chiral anomaly violates the classical chiral symmetry.
My question is how correct this analogy is, and if not where does it fall apart? I know that there is a known anomaly in QFT that violates the scaling symmetry, which is the Weyl anomaly. What is its relation with the anomalous dimensions in the more mundane RG flows?