A beverage dispenser for partially frozen beverages includes at least one bowl for storing a beverage product, with a freezing cylinder positioned in the bowl and housing evaporator coils. The beverage dispenser further includes a cooling system for supplying a cooling medium through the evaporator coils to cool the beverage product when stored in the bowl. The beverage dispenser further includes a dispenser assembly for dispensing the beverage product from the bowl. Finally, the beverage dispenser includes an auger which rotates about the freezing cylinder, the auger including a first end positioned near a front of the beverage dispenser and a second end positioned near a rear of the beverage dispenser. The auger has a ring gear positioned at its second end, and a drive system that includes a belt and pulley arrangement rotates the auger by driving the ring gear.