As good as the Nikon 14-24 is, the 20mm f1.8 is optically better than it at 20mm. The 20mm also doesn't suffer as badly with flare, the 14-24 is prone to it. Factor in you can use ordinary filters (be it square or screw in) on the 20mm rather than the scarily expensive ones for the 14-24 and you have to have a specific need for 14-24, which from your opening post I'm not sure you have. The 20mm lenses are also faster than the zooms, this may be of use of you intend to use them for astro work - the Sigma is two thirds of a stop quicker than the Nikon too which is a stop and a third faster than the zooms.
The Nikon 14-24 has the advantage of being a zoom and obviously goes very much wider, but getting the best from even a 20mm wide angle (which is still extremely wide on FX) takes skill and practice. The Nikon 14-24 is also weather sealed which may or may not matter to you.
Haven't used either of the siggies you mention so cannot comment on those, I did try the earlier siggy 20mm and it wasn't great, but then neither was the earlier Nikon 20mm

. The new Art 20mm is very heavy (as is the Nikon 14-24) and the Sigma 14-24 is even heavier!! No doubt their build quality will be superb if the rest of the art range is anything to go by, Sigma really seem to be getting their act together.
Oh, and if it helps, the 20mm f1.8g has a gold ring - just like the 14-24
One other point maybe worth throwing in, the Tokina 16-28 f2.8 is also an excellent lens, and very much cheaper than the Nikon or Sigma zooms, same issues apply though (filters, aperture etc ...).