for an 83, you'll need to either bend the seat stays to fit a modern width rim, OR have a custom wheel dished / spaced to fit into that frame.

And 83 fuji is also going to be a little wobbly for sprinting =) lol and don't forget about the possibility of pulling the axle out of the dropouts !!! ( one reason why I finally ditched my old school road bike fixie and got something else with horizontal track ends)..

Another problem with an 83 is that it is most likely made for 27" wheels instead of modern 700c, which means that if you get a new wheelset you'll end up with a bit of a gap for the downtube and IF you plan to run brakes you'll have to do some rigging for the pads to reach the brake surface of the rims...

Good luck !!!