Numerical analysis of the dynamics of a cosmic string loop as a vortex
  Time evolution of a circular cosmic string loop is investigated by numerically solving the field equations for the scalar and the gauge fields consisting of the vortex. It is shown that the result agrees with an analytic estimate based on the Nambu-Goto action, which supports its validity in analyzing nonstraight and rapidly moving strings. 
Michiyasu Nagasawa and Jun'ichi Yokoyama