Wiggly relativistic strings.

We derive the equations of motion for general strings, i.e. strings with arbitrary relation between tension {tau} and energy per unit length {epsilon}. The renormalization of {tau} and {epsilon} results from averaging out small scale wiggles on the string is obtained in the general case to lowest order in the amount of wiggliness. For Nambu-Goto strings we find deviations from the equation of state {epsilon}{tau} = constant in higher orders. Finally we show that under plausible assumptions wiggliness radically modifies the cosmic gauge string scenario.