  A new implementation for the time evolution of the magnetic vector potential
is obtained for smoothed particle magnetohydrodynamics by considering the
induction equation in integral form. Galilean invariance is achieved through
proper gauge choice. This new discretisation is tested using the Orszag-Tang
MHD vortex in a 3D configuration. The corresponding conservative equations of
motion are derived, but are not found to solve the MHD equations in the
continuum limit. Tests are performed using a hybrid approach instead, whereby
the equations of motion based on the magnetic field instead of vector potential
are used. Test results experience the same numerical instability as with the
Price (2010) formulation. We conclude that this new formulation is non-viable.
