TOKYO — Though they haven’t complained publicly, the A’s privately are feeling like second-class citizens here.

Officially, the A’s are the home team, wearing the home uniforms and batting last. But somehow, the Sox were given the home dugout and the home clubhouse, which is significantly roomier with additional trainer’s rooms.

The fans have been solidly behind the Sox, unsurprising perhaps given the presence of Daisuke Matsuzaka and Hideki Okajima and the team’s standing.

But the playing of “Sweet Caroline,” the Red Sox’ unofficial them song, in the middle of the eighth inning may have sent the A’s completely over the edge.

smcadam@projo.com