  We discuss for some particular non supersymmetric theories a generalized
symmetry that includes both the scale and axial transformations and leads to a
single current that may contain also a pseudoscalar term. The method, inspired
by the superconformal anomalies has important application for low energy
effective models where it allows the introduction of a single complex glueball
field with a scalar and a pseudoscalar component on the same footing with the
complex meson nonets fields made of quarks. Both axial and trace and axial
anomalies are satisfied in accordance to the meson structure and the QCD
requirements.
