Meaning 1 ►▼
to be out in the left field of the baseball park
Hank Aaron was a outfielder. He played out in left field.
Meaning 2 ►▼
to be away from the action, from what's happening
He's out in left field. He won't be used on this mediation team.
"Out in left field" does not have a negative connotation in the literal sense. Some of the U.S.' best ball players have been leftfielders. However, in the derrivative form it does.