Sagittarius A* polarization: No advection-dominated accretion flow, low accretion rate, and nonthermal synchrotron emission

The recent detection of polarized radiation from Sgr A* requires a nonthermal electron distribution for the emitting plasma. The Faraday rotation measure must be small, placing strong limits on the density and magnetic field strength. We show that these constraints rule out advection-dominated accretion flow models. We construct a simple two-component model that can reproduce both the radio-to-millimeter spectrum and the polarization. This model predicts that the polarization should rise to nearly 100% at shorter wavelengths. The first component, possibly a black hole-powered jet, is compact, low density, and self-absorbed near 1 mm with ordered magnetic field, relativistic Alfven speed, and a nonthermal electron distribution. The second component is poorly constrained, but may be a convection-dominated accretion flow with M over dot similar to 10(-9) M. yr(-1), in which feedback from accretion onto the black hole suppresses the accretion rate at large radii. The black hole shadow should be detectable with submillimeter VLBI.