Dynamical simulation of lattice 4d N=1 SYM

Details Dynamical simulation of lattice 4d N=1 SYM Dynamical simulation of lattice 4d N=1 SYM

2008-11-12

arxiv.org/abs/0811.1964v2

PoS Confinement8:136,2008

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 8 figures, 1 table, presented at "Quark Confinement and the Hadron Spectrum VIII", September 1 - 6 2008, Mainz, Germa

Scientific paper

The lattice provides a powerful tool to non-perturbatively investigate strongly coupled supersymmetric Yang-Mills (SYM) theories. The pure SU(2) SYM theory with one supercharge is simulated on large lattices with small Majorana gluino masses down to about $am_{\tilde g}=0.068$ with lattice spacing $a\simeq 0.125$ fm. The gluino dynamics is simulated by the Two-Step Multi-Boson (TSMB) and the Two-Step Polynomial Hybrid Monte Carlo (TS-PHMC) algorithms. Supersymmetry (SUSY) is broken explicitly by the lattice and the Wilson term and softly by the presence of a non-vanishing gluino mass. However, the recovery of SUSY is expected in the infinite volume continuum limit by tuning the bare parameters to the SUSY point in the parameter space. This scenario is studied by the determination of the low-energy mass spectrum and by means of lattice SUSY Ward-Identities (WIs).

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