  We theoretically study the quantum anomalies in the superconducting Weyl
metals based on the topological field theory. It is demonstrated that the Fermi
arc and the surface Andreev bound state, characteristic of the superconducting
Weyl metals, are the manifestations of two underlying phenomenon, namely the
chiral anomaly and the parity-like anomaly, respectively. The first anomaly is
inherited from the Berry curvature around the original Weyl points, while the
second is the result of the superconductivity. We show that, all the
fascinating topological behavior of the superconducting Weyl metals, either
intranode FFLO or the internode BCS pairing state, can be satisfactorily
described and predicted by our topological field theory.
