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John R. Klauder
Scalar Field Quantization Without Divergences
In All Spacetime Dimensions
(104K, LaTeX)

ABSTRACT.  Covariant, self-interacting scalar quantum field theories admit solutions for low enough spacetime
models expanded about a suitable pseudofree theory, which differs from a free theory by an $O(\hbar^2)$
currently exists, e.g., $arphi^4_n$,
for spacetime dimension $n\ge4$, but offers a new, divergence-free solution, for less-singular models as well,
e.g., $arphi^4_n$, for $n=2,3$. Our analysis implies similar properties for multicomponent scalar