In Persian literature, especially in Hafez’s poetry, 'total abstainers' are called Zaheds.
I've shared some thoughts on Hafez earlier in this post if you want to check it out.
Here are a couple of lines from one of Hafez’s famous ghazals, translated by Clarke back in the 1800s.
The Zahed, outward‑worshipper! Of our state, knowledge is none;
In respect of us, whatever he saith, room for abhorrence is none.
To go to the Tavern‑door is the work of those of one colour:
For the Self‑sellers, path into the street of the Wine‑Sellers, is none.