  In the case of massless current quarks we find that the breaking of chiral
symmetry usually triggers the generation of an anomalous magnetic moment for
the quarks. We show that the kernel of the Ward identity for the vector vertex
yields an important contribution. We compute the anomalous magnetic moment in
several quark models. The results show that it is hard to escape a measurable
anomalous magnetic moment for the quarks in the case of spontaneous chiral
symmetry breaking.
