Sam,
You DO need a torque wrench to properly install the barrel. If you don't get the barrel torqued right it can cause the groups to be farther to the right or left then you have windage adjustment on your rear sight.
To install the barrel, assemble the barrel nut, slip ring, spring and retaining nut. Clean the threads and apply molybdenum disulfide grease to the threads of the barrel nut. Make sure the alignment pin on top of the barrel isn't loose. Clamp the barrel in a vise (using the aluminum vise blocks for a secure fit). Position the alignment pin in the slot in the upper receiver, there should be almost no play. Clean the threads on the upper receiver and coat with the same moly grease used on the barrel nut. Tighten the barrel nut and torque to 30 ft-lb, break it loose and repeat, do this until you have torqued the nut 3 times. If you have to move the barrel nut to install the gas tube always tighten it. Don't tighten over 80 ft-lb to line up the gas tube.
Jeff