'Pitch Perfect' Star Anna Camp Getting Divorced -- Treble in Paradise

Anna Camp -- the chick who barfed her guts out on stage in "Pitch Perfect" -- had a pretty crappy start to 2013 ... 'cause it's the day she broke up with her husband, this according to divorce docs obtained by TMZ.

Camp's actor hubby Michael Mosley -- who's appeared in a TON of TV shows including "30 Rock," "Justified," and "Scrubs" -- filed court docs, seeking to end his 3-year marriage to Camp.

According to the papers, filed April 23 in L.A. County Superior Court, Mosley lists the date of separation as January 1, 2013 ... New Year's Day.

Michael blames the split on irreconcilable differences.

We reached out to Camp -- so far, no word back.