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Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.

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Symmetries in quantum field theory and anomalies

The symmetry found before (as I know) is said to be a classical symmetry of the system. However, at the quantum level, this symmetry may be spoiled. … I know two mechanisms that may spoil this symmetry. …
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