The Spectrum of Softly Broken N=1 Supersymmetric Yang-Mills Theory

TL;DR

This paper investigates the spectrum of softly broken N=1 supersymmetric Yang-Mills theory using effective actions, calculating bound state masses, and comparing results with traditional Yang-Mills predictions, with implications for lattice simulations.

Contribution

It introduces dual formulations of the effective action and applies the spurion method to analyze soft SUSY breaking effects on bound state spectra.

Findings

Mass splittings align with conventional Yang-Mills predictions

Bound state masses are explicitly calculated

Mixing patterns of states are discussed

Abstract

We study the spectrum of the softly broken generalized Veneziano-Yankielowicz effective action for N=1 SUSY Yang-Mills theory. Two dual formulations of the effective action are given. The spurion method is used for the soft SUSY breaking. Masses of the bound states are calculated and mixing patterns are discussed. Mass splittings of pure gluonic states are consistent with predictions of conventional Yang-Mills theory. The results can be tested in lattice simulations of the SUSY Yang-Mills model.