Renormalisation of gravitational self interaction for wiggly strings

Details Renormalisation of gravitational self interaction for wiggly strings Renormalisation of gravitational self interaction for wiggly strings

1998-06-24

arxiv.org/abs/hep-th/9806206v3

Phys.Rev. D60 (1999) 083502

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex; original 8 page version extended to include estimates of relevant orders of magnitude. To be published in Phy

Scientific paper

10.1103/PhysRevD.60.083502

It is shown that for any elastic string model with energy density $U$ and tension $T$, the divergent contribution from gravitational self interaction can be allowed for by an action renormalisation proportional to $(U-T)^2$. This formula is applied to the important special case of a bare model of the transonic type (characterised by a constant value of the product $UT$) that represents the macroscopically averaged effect of shortwavelength wiggles on an underlying microscopic model of the Nambu-Goto type (characterised by $U=T$).

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