CLEVELAND -- "Captain Un-America."

That's what a group of musicians are saying about Marvel's production of "Captain America: The Winter Soldier."

Armed with various drums, signs and a rubber rat with "Marvel Studios" scribbled on its belly, the musicians protested at the film's Cleveland location along E. 6th Street and St. Clair early Thursday afternoon.

Photos: "Captain America: The Winter Soldier" films in Cleveland

As crews were working to film an action sequence nearby, the protestors banged loudly on their drums working to gain attention for their cause.

The group, based out of California, alleges that Marvel is taking millions in tax credits and then exporting U.S. jobs for the movie's score.

According to a pamphlet the group was passing out, they accuse Marvel of hiring foreign musicians in Europe and paying them "under the table and on the cheap, robbing U.S. musicians of their jobs."

The musicians have traveled to various Marvel film sites across the country to protest.

"Captain America: The Winter Soldier" began filming scenes for the movie this week in Cleveland. Production will continue in multiple locations through June.