08-222 John R. Klauder

Taming Nonrenormalizability (21K, LaTeX) Nov 23, 08

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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.

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