Physical Review D
We consider the relationship between renormalizability and unitarity at a Lifshitz point in d dimensions. We test tree unitarity for theories containing only scalars and fermions, and for pure gauge theory. In both cases, we find the requirement of weighted power-counting renormalizability is equivalent to that of tree unitarity.
Albrecht, D. (2011). Weighted power counting and perturbative unitarity. Physical Review D, 83(4), 045029.