A Note on effective N=1 Super Yang-Mills Theories versus Lattice Results

Abstract

We compare the glueball mass spectrum of an effective N=1 pure super Yang-Mills theory formulated in terms of a three-form supermultiplet with the available lattice data. These confirm the presence of four scalars and two Majorana fermions but the detailed mass spectrum is difficult to reconcile with the effective supersymmetric theory. By imposing supersymmetry and using two of four bosonic masses we get a prediction for the remaining masses as well as the mixing angles. We find that the mass of the three-form dominates over the contribution of the Veneziano-Yankielowicz-Dijkgraaf-Vafa term. As a byproduct we introduce a Fayet-Iliopoulos term for the three-form multiplet and show that it generates a glueball condensate.

11 pages LaTeX, reference added, typos corrected

References in corpus (4)

• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• A Perturbative Window into Non-Perturbative Physics
• Phases of N=1 Supersymmetric Gauge Theories and Matrices
• Spectrum of SU(2) SUSY Yang-Mills Theory with a light gluino

Cited by in corpus (17)

• Backreaction Issues in Axion Monodromy and Minkowski 4-forms
• Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness
• Effective Lagrangians for Orientifold Theories
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• An Axion-induced SM/MSSM Higgs Landscape and the Weak Gravity Conjecture
• Predictions and recent results in susy on the lattice
• Duality and Couplings of 3-Form-Multiplets in N=1 Supersymmetry
• Conifolds and Geometric Transitions
• Information on the Super Yang-Mills Spectrum
• The low-lying mass spectrum of the N=1 SU(2) SUSY Yang-Mills theory with Wilson fermions
• Effective actions for dual massive (super) p-forms
• Extending the Veneziano-Yankielowicz Effective Theory
• Geometric Transitions on non-Kaehler Manifolds
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• Exploring gauge theories with adjoint matter on the lattice
• Advances and applications of lattice supersymmetry
• N=1 Super Yang-Mills Domain Walls via The Extended Veneziano Yankielowicz Theory