This occurs at times for no seemingly apparent reason, and may correct itself with time.
On many occasions though, a hunger strike, like several other uncommon discus behaviors, may be due to the onset of stress of some kind. Have you noted any signs of this fish being bullied ? Otherwise, it could be due to some form of water quality issue - what is your wc & tank cleansing routine ?
Can you post a pic of your tank, which might provide some insight.