  We here investigate the possibility that the observed collimated outflows in
luminous infrared galaxies (LIGs) and some Seyfert galaxies can be produced in
a starburst (SB) environment. A nuclear disk can be quickly produced by gas
infall during star formation in a rotating, stellar cluster. We find that
massive nuclear SBs with core disk masses M_d \sim 10^8 - 10^9 M_{\odot}, and
supernova rates \nu_{SN} \simeq 5 \times 10^{-3} - 2 yr^{-1} (which are
consistent with the \nu_{SN} values inferred from the observed non-thermal
radio power in source candidates) may inject kinetic energies which are high
enough to blow out directed flows from the accreting disk surface, within the
SB lifetimes. In our models, the acceleration and collimation of the nuclear
outflow are provided by magnetic fields anchored into the rotating SB-disk. The
emerging outflow carries a kinetic power that is only a small fraction (a few
percent) of the supernovae energy rate produced in the SB. Based on conditions
determined from observed outflows and disks, we find that moderate disk
magnetic fields (\gtrsim 8 \times 10^{-4} G) are able to accelerate the
outflows up to the observed terminal velocities (\lesssim few 100 km s^{-1} in
the case of the Seyfert galaxies, and \sim 400 - 950 km s^{-1} in the case of
the LIGs). The outflow is produced within a wind zone in the disk of radius
\lesssim 100 pc in the LIGs, and \lesssim 10 pc in the Seyferts, with wind mass
loss to disk accretion rate ratios \dot M_w /\dot M_d \gtrsim 0.1 (where \dot
M_d \sim 100 M_{\odot} yr^{-1}). The observation of rotating nuclear disks of
gas within few 100 pc scales in source candidates like the LIG Arp 220, and
magnetized outflows provide observational support for the picture drawn here.
