Indo-European ant roots
Root / lemma: mai-1
English meaning: to cut down, work with a sharp instrument
[...]
2. d-extension: got. maitan `hew, hit, cut, clip', [...] ahd. mīza `Milbe' (probably to gr. μίδας `Made'), perhaps also ags. ǣ-mette, engl. ant, emmet, ahd. ā-meiza `Ameise'