If the alternator fails, it is no longer keeping the battery charged and your engine is running on nothing but battery power. Once the battery runs down, your engine will no longer run.
If you mean 'cut off' as in the car dies while driving its probably your alternator.
Simple answer is the alternator
your alternator is going bad
sounds like your alternator..
alternator
Out of Oil Out of Water Out of Gas Dead Alternator
Probably the alternator.
If you lost power while driving and it did not start again, it could be an alternator issue. Double check the battery just to make certain it isn't an issue with the cable connectors too.
No it cannot unless alternator is not charging the only power a diesel requires is for fuel cutoff solenoid
trash in your fuel filter
What would cause my VW golf to cut out whist driving
check your timing belt