The next album by Green Day — “Revolution Radio,” due on Oct. 7 — returns the band to charged sociopolitical footing, and to a froth of righteous insurgence. You wouldn’t have to hear any music to recognize that this is the best possible news for Green Day, which has been mostly quiet over the last few years, and most recently released an album (three of them, actually) in 2012. “Bang Bang,” the first single from “Revolution Radio,” has all the snarl and pep you could want, mobilizing classic punk strategies with ruthless pop efficiency. But its lyrical premise is pointed and potent: Billie Joe Armstrong wrote the song in the voice of a delusional young mass shooter, dreaming of glory and infamy:

I wanna be a celebrity martyr

The leading man in my own private drama

Hoorah! (Bang bang!) Hoorah! (Bang bang!) The hero of the hour

Daddy’s little psycho and mommy’s little soldier

It’s an unsettling chorus to picture on an arena stage, with thousands of fans belting along. But unsettling is what Mr. Armstrong wants here, and the furiously catchy qualities of the tune help his cause. NATE CHINEN

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