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In what condensed matter systems (without chiral anomaly) do we need two $U(1)$ gauge fields?
In condensed matter systems, we use a $U(1)$ gauge field to describe the electric current by charge carriers. If there is a chiral anomaly, there will be a vector $U(1)$ and an axial $U(1)$. Suppose ...
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"Mixed anomaly" in Weyl semimetal and its cancellation
The introduction to the problem
Suppose the Weyl semimetal (read please briefly the definition before reading the question). Because of the effective nature of the chirality the parameters $b_{0}, \...