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The mass of the adjoint pion in \( \mathcal{N} \) = 1 supersymmetric Yang-Mills theory

  • G. Münster
  • H. Stüwe
Open Access
Article

Abstract

In Monte Carlo simulations of \( \mathcal{N} \) = 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.

Keywords

Supersymmetric gauge theory Spontaneous Symmetry Breaking Supersymmetric Effective Theories 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikUniversität MünsterMünsterGermany

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