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

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.

20 pages, LaTex file, some references and footnotes are added

References in corpus (5)

• Discrete Anomaly Matching
• Towards N=1 Super-Yang-Mills on the Lattice
• Modeling The Glueball Spectrum By A Closed Bosonic Membrane
• Lattice Tests of Supersymmetric Yang-Mills Theory?
• Gaugino condensate and Veneziano-Yankielowicz effective Lagrangian

Cited by in corpus (40)

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• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
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• One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion
• The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• Conifolds and Geometric Transitions
• Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory
• Information on the Super Yang-Mills Spectrum
• Scanning of the Supersymmetry Breaking Scale and the Gravitino Mass in Supergravity
• The gluino-glue particle and finite size effects in supersymmetric Yang-Mills theory
• The Spectrum of Softly Broken N=1 Supersymmetric Yang-Mills Theory
• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• The low-lying mass spectrum of the N=1 SU(2) SUSY Yang-Mills theory with Wilson fermions
• Progress and prospects of lattice supersymmetry
• Supersymmetry on the lattice
• A Note on effective N=1 Super Yang-Mills Theories versus Lattice Results
• The Discrete $Z_{2N_c}$ Symmetry And Effective Superpotential In SUSY Gluodynamics
• Effective actions for dual massive (super) p-forms
• Extending the Veneziano-Yankielowicz Effective Theory
• Geometric Transitions on non-Kaehler Manifolds
• Spectrum of SU(2) SUSY Yang-Mills Theory with a light gluino
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• New nonperturbative scales and glueballs in confining supersymmetric gauge theories
• Continuum extrapolation of Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Monte-Carlo simulations of overlap Majorana fermions
• Quenched Supersymmetry
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Exploring gauge theories with adjoint matter on the lattice
• Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets
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• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• SUSY Glue-Balls, Dynamical Symmetry Breaking and Non-Holomorphic Potentials
• Quenched Supersymmetry
• The SUSY Yang-Mills plasma in a $T$-matrix approach
• Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice
• How $\mathcal{N}=1$, $D=4$ SYM domain walls look like
• Supersymmetry on the lattice and the status of the Super-Yang-Mills simulations