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The mass of the adjoint pion in N=1 supersymmetric Yang-Mills theory

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arxiv 1402.6616 v1 pith:Y4SPYHJD submitted 2014-02-26 hep-th hep-lat

classification hep-thhep-lat
keywords massadjointpiontheorygluinorelationsupersymmetricyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal
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In Monte Carlo simulations of N=1 supersymmetric Yang-Mills theory the mass of the unphysical adjoint pion, which is easily obtained numerically, is being used for the tuning to the limit of vanishing gluino mass. In this article we show how to define the adjoint pion in the framework of partially quenched chiral perturbation theory and we derive a relation between its mass and the mass of the gluino analogous to the Gell-Mann-Oakes-Renner relation of QCD.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A first-principles lattice calculation determines the mass of the gluino-glue bound state in N=1 supersymmetric Yang-Mills theory in the large-N limit.

  2. The gluino condensate of large-$N$ SUSY Yang-Mills

    hep-lat 2024-12 conditional novelty 4.0 of 10

    The large-N SUSY gluino condensate is computed on the lattice for the first time and agrees, within errors, with the weak-coupling instanton value.

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