It has recently been shown how the effect of the divergent part of the gravitational self-interaction for a classical string model in four dimensions can be allowed for by a renormalization of its stress-energy tensor and in the elastic case a corresponding renormalization of the off-shell action. It is shown here that that it is possible to construct a new category of elastic string models for which this effect is describable as a renormalization in the stricter "formal" sense, meaning that it only requires a rescaling of one of the fixed parameters characterizing the model. [References: 9]
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