Simulation of 4d supersymmetric Yang–Mills theory with Symanzik improved gauge action and stout smearing

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2010-09, Vol.69 (1-2), p.147-157
• Main Authors: Demmouche, K., Farchioni, F., Ferling, A., Montvay, I., Münster, G., Scholz, E. E., Wuilloud, J.
• Format: Article
• Language: English
• Subjects: Algorithms; Astronomy; Astrophysics and Cosmology; Computer simulation; Elementary Particles; Fermions; Galling; Hadrons; Heavy Ions; Lattices (mathematics); Mathematical analysis; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Polynomials; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Supersymmetry; Yang-Mills theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-010-1390-7

We report on the results of a numerical simulation concerning the low-lying spectrum of four-dimensional SU(2) Supersymmetric Yang–Mills (SYM) theory on the lattice with light dynamical gluinos. In the gauge sector the tree-level Symanzik improved gauge action is used, while we use the Wilson formulation in the fermion sector with stout smearing of the gauge links in the Wilson–Dirac operator. The ensembles of gauge configurations were produced with the Two-Step Polynomial Hybrid Monte Carlo (TS-PHMC) updating algorithm. We performed simulations on large lattices up to a size of 24 3 ⋅48 at β =1.6. Using QCD units with the Sommer scale being set to r 0 =0.5 fm, the lattice spacing is about a ≃0.09 fm, and the spatial extent of the lattice corresponds to 2.1 fm. At the lightest simulated gluino mass the spin-1/2 gluino–glue bound state appeared to be considerably heavier than its expected super-partner, the pseudoscalar bound state. Whether supermultiplets are formed remains to be studied in upcoming simulations.