John R. Klauder
Taming Nonrenormalizability
(21K, LaTeX)

ABSTRACT.  Unlike asymptotically free quantum field theories, asymptotically 
nonfree theories have not been well served by conventional 
perturbation analysis. In contrast, the goal of a proper 
renormalization scheme for perturbatively nonrenormalizable scalar 
quantum field theories should be to neutralize the source of the 
divergences. Achieving this goal requires an entirely different kind 
of counterterm than those typically employed, and, as we shall 
argue, including the appropriate counterterm as part of a pseudofree 
model about which to expand leads to an alternative perturbative 
formulation that is term-by-term finite.