Light scratches can be removed from glass using kits that contain a polishing compound and a mop to use with a drill or rotary polisher.

You do need to be careful not to linger in one spot, or tilt the polishing head by accident as this may produce optical distortions in the glass. Several light passes over the whole screen are better than a heavy local application.

www.frost.co.uk offer a kit, reference - S130

Hope this helps

Mick Gaughran