The supersymmetric Ward identities on the lattice

Details The supersymmetric Ward identities on the lattice The supersymmetric Ward identities on the lattice

2001-11-07

arxiv.org/abs/hep-lat/0111008v2

Eur.Phys.J.C23:719-734,2002

Physics

High Energy Physics

High Energy Physics - Lattice

34 pages, 7 figures. Typo corrected, last sentence reformulated, reference added. To appear in Eur. Phys. J. C

Scientific paper

10.1007/s100520200898

Supersymmetric (SUSY) Ward identities are considered for the N=1 SU(2) SUSY Yang Mills theory discretized on the lattice with Wilson fermions (gluinos). They are used in order to compute non-perturbatively a subtracted gluino mass and the mixing coefficient of the SUSY current. The computations were performed at gauge coupling $\beta$=2.3 and hopping parameter $\kappa$=0.1925, 0.194, 0.1955 using the two-step multi-bosonic dynamical-fermion algorithm. Our results are consistent with a scenario where the Ward identities are satisfied up to O(a) effects. The vanishing of the gluino mass occurs at a value of the hopping parameter which is not fully consistent with the estimate based on the chiral phase transition. This suggests that, although SUSY restoration appears to occur close to the continuum limit of the lattice theory, the results are still affected by significant systematic effects.

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