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A note on effective N = 1 super-Yang-Mills theoriesversus lattice results

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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.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany

    D. G. Cerdeño, A. Knauf & J. Louis

Authors
  1. D. G. Cerdeño
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  2. A. Knauf
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  3. J. Louis
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Corresponding author

Correspondence to D. G. Cerdeño.

Additional information

Received: 15 August 2003, Published online: 10 October 2003

Work supported by DFG - The German Science Foundation, European RTN Program HPRN-CT-2000-00148 and the DAAD - the German Academic Exchange Service

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Cerdeño, D.G., Knauf, A. & Louis, J. A note on effective N = 1 super-Yang-Mills theoriesversus lattice results. Eur. Phys. J. C 31, 415–420 (2003). https://doi.org/10.1140/epjc/s2003-01336-8

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  • DOI: https://doi.org/10.1140/epjc/s2003-01336-8

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