chase vs go after

chase is a noun but go after is not a noun.

Word	Noun	Adjective	Verb	Adverb
chase	Yes	No	Yes	No
go after	No	No	Yes	No

As verbs, chase and go after are synonyms defined as:

Other synonyms of chase include chase after, dog, give chase, tag, tail, track, trail.

chase (noun)	go after (noun)
the act of pursuing in an effort to overtake or capture
a rectangular metal frame used in letterpress printing to hold together the pages or columns of composed type that are printed at one time

chase (verb)	go after (verb)
cut a groove into	go in search of or hunt for
cut a furrow into a columns	go after with the intent to catch
go after with the intent to catch
pursue someone sexually or romantically