Information on the Super Yang-Mills Spectrum

TL;DR

This paper studies the spectrum of lightest states in N=1 Super Yang-Mills, combining effective Lagrangian models and QCD insights to identify the lightest particles as gluinoballs and analyze their mixing with glueballs.

Contribution

It introduces an effective Lagrangian approach that constrains the spectrum of super Yang-Mills, identifying the lightest states and their mixing with glueballs using QCD-based arguments.

Findings

Lightest states are identified as gluinoballs.

Glueballs can be heavier or lighter depending on the Kahler term.

Small mixing exists between gluinoballs and glueballs.

Abstract

We investigate the spectrum of the lightest states of N=1 Super Yang-Mills. We first study the spectrum using the recently extended Veneziano Yankielowicz theory containing also the glueball states besides the gluinoball ones. Using a simple Kahler 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 effective Lagrangian independent argument which allows, using information about ordinary QCD, to deduce that the lightest states in super Yang-Mills are the gluinoballs. This helps constraining the Kahler 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.