peace vs public security

peace and public security both are nouns.

Word	Noun	Adjective	Verb	Adverb
peace	Yes	No	No	No
public security	Yes	No	No	No

As nouns, peace and public security are synonyms defined as:

peace (noun)	public security (noun)
a treaty to cease hostilities	the general security of public places
the absence of mental stress or anxiety
the state prevailing during the absence of war
harmonious relations; freedom from disputes
the general security of public places