Information on the Super Yang-Mills spectrum

We investigate the spectrum of the lightest states of [Formula Presented] Super Yang-Mills theory. We first study the spectrum using the recently extended Veneziano Yankielowicz theory containing also the glueball states besides the gluinoball ones. Using a simple Kähler term we show that within the effective Lagrangian approach one can accommodate either the possibility in which the glueballs are heavier or lighter than the gluinoball fields. We then provide an argument independent from the effective Lagrangian which allows, using information about ordinary QCD, to deduce that the lightest states in Super Yang-Mills theory are the gluinoballs. This helps constraining the Kähler term of the effective Lagrangian. Using this information and the effective Lagrangian we note that there is a small mixing among the gluinoball and glueball states. © 2004 The American Physical Society.