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

2014/02/26 by Gernot Münster, G. Münster, Hendrik Stüwe +1 · 2 citations
Physics and Astronomy · #Chiral perturbation theory #Gluino #High-Energy Particle Collisions Research #Limit (mathematics) #Perturbation theory (quantum mechanics) #Pion #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Supersymmetry #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep05(2014)034

6 pages

arxiv created 2014/02/26 · openalex publication_date 2014/05/01 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Chiral perturbation theory to one loop
• 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
• Structure of Phenomenological Lagrangians. I

Cited by

• Supersymmetry on the lattice
• Variational analysis of low-lying states in supersymmetric Yang-Mills theory