Left panel: velocity dispersion curve of NGC4374. Dark lines: solid line is the total velocity dispersion in the scalar field approach, i.e. scalar field + baryons; dot-dashed line is the total velocity dispersion in the classical approach, i.e. dark matter + baryons. Light lines: dashed line is the stellar velocity dispersion in the NFW approach; dotted line is the dark matter velocity dispersion. Right panel: the same as before but on a logarithmic scale.