Formally renormalisable gravitationally self interacting string models

TL;DR

This paper introduces a new class of elastic string models in 4D that can be renormalized to account for gravitational self-interactions through simple parameter rescaling, advancing the understanding of string self-interaction effects.

Contribution

It demonstrates the construction of elastic string models where gravitational self-interaction effects are renormalized via parameter rescaling, providing a more rigorous formal framework.

Findings

New elastic string models with formal renormalizability

Self-interaction effects absorbed by parameter rescaling

Enhanced theoretical understanding of string self-interactions

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.