On the Effective Action of N=1 Supersymmetric Yang-Mills Theory

TL;DR

This paper extends the Veneziano-Yankielowicz effective action for N=1 SUSY Yang-Mills theory by incorporating composite operators for gluonic bound states, analyzing their mass spectrum and mixing.

Contribution

It introduces a generalized effective action including composite operators and a three-form multiplet, providing new insights into bound state spectra.

Findings

Mass eigenstates form two multiplets with scalar, pseudoscalar, and fermion components

The lighter multiplet contains states related to glueballs

Effective Lagrangian approach reveals mixing and mass spectrum details

Abstract

We propose a generalization of the Veneziano-Yankielowicz effective low-energy action for N=1 SUSY Yang-Mills theory which includes composite operators interpolating pure gluonic bound states. The chiral supermultiplet of anomalies is embedded in a larger three-form multiplet and an extra term in the effective action is introduced. The mass spectrum and mixing of the lowest-spin bound states are studied within the effective Lagrangian approach. The physical mass eigenstates form two multiplets, each containing a scalar, pseudoscalar and Weyl fermion. The multiplet containing the states which are most closely related to glueballs is the lighter one.