remove scratch from iPhone 5 front glass

Because I thought the gorilla glass of the iPhone 5 is pretty tuff I decided to omit a screen protection. Unfortunaltey now I have a very thin and subtle but very long (6 cm) scratch on the front glass. It is very hard to see and can only be seen at bright light and from a very specific angle and only when the display is turned off but it is still there, so ... I always handled the device very carefully and I have no idea where this scratch came from. I suspect the rivets near the pockets of some of my jeans. To make sure that this is really a scratch I polished the screen with a little bit of water and a glasses cleaning cloth. The proposed scratch doesn't go away. Is there any way to get rid of this sratch?