Partially quenched chiral perturbation theory for N=1 supersymmetric Yang-Mills theory

TL;DR

This paper develops a partially quenched chiral perturbation theory framework for N=1 supersymmetric Yang-Mills theory, enabling better tuning of the gluino mass in lattice simulations by relating unphysical particle masses to physical parameters.

Contribution

It introduces a method to define the adjoint pion within partially quenched chiral perturbation theory and derives a relation analogous to the Gell-Mann-Oakes-Renner relation for gluino mass tuning.

Findings

Derived a relation between adjoint pion mass and gluino mass.

Provided a framework for defining unphysical particles in supersymmetric theories.

Facilitated more accurate tuning of gluino mass in lattice simulations.

Abstract

Adding a gluino mass term to N=1 supersymmetric Yang-Mills theory breaks supersymmetry softly. In order to approach the supersymmetric continuum limit in numerical simulations with the Wilson action, the bare gluino mass has to be tuned to the limit of vanishing renormalised gluino mass. This can be done efficiently by means of the mass of the adjoint pion, which is, however, an unphysical particle. We discuss how the adjoint pion can be defined in the framework of partially quenched chiral perturbation theory. A relation between its mass and the mass of the gluino, analogous to the Gell-Mann-Oakes-Renner relation of QCD, can be derived.