bailiwick vs field of study

bailiwick and field of study both are nouns.

Word	Noun	Adjective	Verb	Adverb
bailiwick	Yes	No	No	No
field of study	Yes	No	No	No

As nouns, bailiwick and field of study are synonyms defined as:

Other synonyms of bailiwick include discipline, field, study, subject, subject area, subject field.

bailiwick (noun)	field of study (noun)
a branch of knowledge	a branch of knowledge
the area over which a bailiff has jurisdiction