No it isn't. He observed a crime committed. Has a legal right to "arrest" the individual until a peace officer arrives. Force used to do so must be reasonable.

This also happened in Oregon where the video in this thread took place.
Manager fired from Gresham Rite Aid for grabbing shoplifter's bag http://www.oregonlive.com/gresham/index.ssf/2015/04/manager_fired_from_gresham_rit.htmlAccording to the lawsuit, Sartwell and the store manager saw a woman stuff some items in a bag, then walk past the register and security towers toward the doors without paying. Sartwell grabbed the woman's bag and told the woman to give up the goods, but the woman responded by pushing Sartwell twice in the chest, the suit states.
"Plaintiff moved the shoplifter from the door to the register and instructed the cashier Cassandra to call the police," the suit says. "The shoplifter then pulled a switchblade knife on Plaintiff, so Plaintiff let go of the bag and the shoplifter left the store with defendants' merchandise."
The suit says Sartwell and the cashier followed the woman outside and snapped photos of the car she got in and its license plates.
Six days later, Sartwell was fired -- in part for telling the cashier to call police, then talking to them after they arrived, her suit states.