However angular momentum L is an axial vector.
However, Maxwell's equations are invariant under parity because the curl of an axial vector is a vector.
Pion currents thus couple to the axial vector current and pions participate in the chiral anomaly.
The boundary condition is provided by the requirement of continuity of the axial vector current across the bag boundary.
A vector which gains a minus sign when the orientation of space changes is called a pseudovector or an axial vector.
This can be thought as due to additional sign change upon mirroring of an axial vector which the magnetization is.
The axial vector is also called the infinitesimal rotation vector.
The rotation vector is an example of an axial vector.
Bivectors have a number of advantages over axial vectors.
Bivectors and axial vectors are related by Hodge dual.