Dynamics of selfinteracting strings and energymomentum conservation
Abstract
Classical strings coupled to a metric, a dilaton and an axion, asconceived by superstring theory, suffer from ultraviolet divergences due to selfinteractions. Consequently, as in the case ofradiating charged particles, the corresponding effective string dynamics cannotbe derived from an action principle. We propose a fundamental principle to build this dynamics, based on local energymomentum conservation in terms of a welldefineddistributionvalued energymomentum tensor. Its continuityequation implies a finite equation of motion for selfinteracting strings. The construction is carried out explicitly for strings in uniform motion in arbitrary spacetime dimensions, where we establish cancelations of ultraviolet divergences which parallel superstring nonrenormalization theorems. The uniqueness properties of the resulting dynamics are analyzed.
 Publication:

Annals of Physics
 Pub Date:
 August 2017
 DOI:
 10.1016/j.aop.2017.05.024
 arXiv:
 arXiv:1605.00159
 Bibcode:
 2017AnPhy.383..357L
 Keywords:

 Classical string theory;
 Selfinteraction;
 Renormalization;
 Energymomentum conservation;
 Distribution theory;
 High Energy Physics  Theory;
 Physics  Classical Physics
 EPrint:
 42 pages, no figures