topical anesthetic vs topical anaesthetic

topical anesthetic and topical anaesthetic both are nouns.

Word	Noun	Adjective	Verb	Adverb
topical anesthetic	Yes	No	No	No
topical anaesthetic	Yes	No	No	No

As nouns, topical anesthetic and topical anaesthetic are synonyms defined as:

topical anesthetic and topical anaesthetic: anesthetic that numbs a particular area of the body

Other synonyms of topical anesthetic include local, local anaesthetic, local anesthetic.

topical anesthetic (noun)	topical anaesthetic (noun)
anesthetic that numbs a particular area of the body	anesthetic that numbs a particular area of the body