Rangers manager Ron Washington says Harden has been dealing with the issue for a while, but the team felt it was time to shut him down after he aggravated the injury. Texas will not need a fifth starter for a week and Matt Harrison is the leading candidate to replace Harden in the rotation.
Washington says Harden will have an MRI on the muscle in the coming days. Harden gave up six runs in the 6-2 loss to the Milwaukee Brewers on Friday night and is 1-2 with an 8.68 ERA in his last six starts.
Texas called up right-hander Alexi Ogando from Triple-A Oklahoma to take Harden's roster spot. He was in uniform but was not used in Saturday night's 4-3 win over Milwaukee.
Ogando, 26, has a combined one save and 2.05 ERA in 18 games (three starts) for Double-A Frisco and Oklahoma City this season.
Opponents have batted .130 (14-108) with 11 walks and 42 strikeouts against the converted outfielder from the Dominican Republic.
The Associated Press contributed to this report.