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Abstract
We study lattice g 0 φ 4 field theory for all g 0 and fixed renormalized mass M in one and two dimensions using Monte Carlo techniques. We calculate the dimensionless renormalized coupling constant g R = g R M 4−d , where d is the dimension of space—time, at fixed small values of the lattice spacing a for various g 0 and lattice sizes. Our results are in quantitative agreement with the analyses of high temperature and strong coupling series which rely on extrapolation from large to small lattice spacing.
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