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This paper extends an earlier high-temperature lattice calculation of therenormalized Green's functions of a $D$-dimensional Euclidean scalar quantumfield theory in the Ising limit. The previous calculation included all graphsthrough sixth order. Here, we present the results of an eleventh-ordercalculation. The extrapolation to the continuum limit in the previouscalculation was rather clumsy and did not appear to converge when $D>2$. Here,we present an improved extrapolation which gives uniformly good results for allreal values of the dimension between $D=0$ and $D=4$. We find that thefour-point Green's function has the value $0.620 \pm 0.007$ when $D=2$ and$0.98 \pm 0.01$ when $D=3$ and that the six-point Green's function has thevalue $0.96 \pm 0.03$ when $D=2$ and $1.2 \pm 0.2$ when $D=3$.Comment: 13 pages, 6 figures, plain TEX, uuencoded, WUHEP-5-9

Eleventh-order calculation of Ising-limit Green’s functions for scalar quantum field theory in arbitrary space-time dimensionD