Alternative Scenarios for the Fragmentation of a Gluonic Lund String

The assumptions in the Lund model suffice to prescribe a unique stochastic process for the fragmentation of a string into a set of hadrons, so long as the string is "flat", ie as long as the state described by the string consists only of a quark and an antiquark stretching a constant force field between them. Emission of gluons causes the string to trace more complicated surfaces in Minkowski space, and some form of generalization of the 1+1 dimensional model is required. One such generalizaiotn has been developed and implemented as a Monte Carlo routine "JETSET" by Torbj\"orn Sj\"ostrand, which has been hightly successful in describing experimental data. But there are theoretical reasons to believe that the fragmentation scheme employed in JETSET is not entirely satisfactory; most notably, non-adherance to the Lund Area law, and certain problems in handling transverse momenta. A few alternative scenarios, which we have examined in detail and implemented in separate computer programs, will be presented here, with comparisons to JETSET in certain simple cases. Our effort has been to preserve the area law for the fragmentation of a gluonic string, while we explored the possibility of allowing the fragmentation process to reshape the string surface slightly.