In quantum field theory, we are looking for a Lagrangian that is, amongst other, renormalizable. But how do we determine whether or not a theory is renormalizable? Is this purely done by power counting due to Weinberg? This question is already answered in the a previous question.
My question result from the fact that the Yang-Mills Lagrangian was considered to be non-renormalizable, and thus non-physical, for a decade until Veltman and 't Hooft found a method to regularize the theory. Keeping this in mind, is it possible that there are theories that we today consider to be non-renormalizable, and thus non-physical, which actually are renormalizable but we haven't (yet) discovered a way to do this?
I apologize in advance if my question is vague and if I'm using the wrong terminology, but I'm very new to the idea of renormalizability.
This post imported from StackExchange Physics at 2014-04-05 17:25 (UCT), posted by SE-user Hunter