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

Abstract

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.

6 pages

References in corpus (2)

• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Hadron masses in QCD with one quark flavour

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• Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
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