soccer field vs playing field

soccer field and playing field both are nouns.

Word	Noun	Adjective	Verb	Adverb
soccer field	Yes	No	No	No
playing field	Yes	No	No	No

As nouns, playing field is a hypernym of soccer field; that is, playing field is a word with a broader meaning than soccer field:

soccer field: a sports field with predetermined dimensions for playing soccer
playing field: a piece of land prepared for playing a game

Other hypernyms of soccer field include athletic field, field, playing area.

soccer field (noun)	playing field (noun)
a sports field with predetermined dimensions for playing soccer	a piece of land prepared for playing a game
	the circumstances under which competition occurs