Detailed study of relativistic strings

Abstract
Presented is a detailed analysis of the dynamics of the relativistic vortex by means of the boson transformation method. General formulas for the energy and momentum of the string are derived. It is shown that a vortex of finite length creates a superposition of a short-range field associated with the body of the vortex and a field coming from the end points. This end-point field decomposes into a short-range and a long-range component, and the latter can be eliminated by attaching Dirac magnetic monopoles at the end points. It turns out that the monopole-string system has a finite negative binding energy.