Extending the Veneziano-Yankielowicz effective theory

We extend the Veneziano-Yankielowicz (VY) effective theory in order to account for ordinary glueball states. We propose a new form of the superpotential including a chiral superfield for the glueball degrees of freedom. When integrating it out we obtain the VY superpotential while the N vacua of the theory naturally emerge. This fact has a counterpart in the Dijkgraaf and Vafa geometric approach. We suggest a link of the new field with the underlying degrees of freedom which allows us to integrate it in the VY theory. We finally break supersymmetry by adding a gluino mass and show that the Kähler independent part of the potential has the same form of the ordinary Yang-Mills glueball effective potential. © 2004 The American Physical Society.