Renormalisation of gravitational self interaction for wiggly strings

Abstract

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 $U=T$).

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

References in corpus (7)

• Dynamical instability criterion for circular (vorton) string loops
• Effective action and tension renormalization for cosmic and fundamental strings
• Cold, warm, and composite (cool) cosmic string models
• Non-divergence of gravitational self-interactions for Goto-Nambu strings
• Electromagnetic self interaction in strings
• Branes as BIons
• Could Electromagnetic Corrections Solve The Vorton Excess Problem ?

Cited by in corpus (3)

• Extending the Velocity-dependent One-scale String Evolution Model
• Cerenkov radiation from moving straight strings
• Formally renormalisable gravitationally self interacting string models