paper

Formally renormalisable gravitationally self interacting string models

arXiv:hep-th/9810178 · doi:10.1023/A:1026662514779

Abstract

It has recently been shown how the effect of the divergent part of the gravitational self interaction for a classical string model in 4 dimensions can be allowed for by a renormalisation of its stress energy tensor and in the elastic case a corresponding renormalisation 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 renormalisation in the stricter ``formal'' sense, meaning that it only requires a rescaling of one of the fixed parameters characterising the model.

8 pages Latex. Contrib. to proc. `Quantum gravity in the Southern Cone', Bariloche, Jan., 1998; accepted for publication in Int. J. Theoretical Physics

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