Simulation of 4 d $\mathcal{N}=1$ supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing.

Autor: Demmouche, K., Farchioni, F., Ferling, A., Montvay, I., Münster, G., Scholz, E. E., Wuilloud, J.
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Zdroj: European Physical Journal C -- Particles & Fields; Aug2010, Vol. 69 Issue 1/2, p147-157, 11p, 3 Charts, 8 Graphs
Abstrakt: We report on the results of a numerical simulation concerning the low-lying spectrum of four-dimensional $\mathcal{N}=1$ 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⋅48 at β=1.6. Using QCD units with the Sommer scale being set to r=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. [ABSTRACT FROM AUTHOR]
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