The fermion determinant in (4,4) 2d lattice super-Yang-Mills

Details The fermion determinant in (4,4) 2d lattice super-Yang-Mills The fermion determinant in (4,4) 2d lattice super-Yang-Mills

2003-07-15

arxiv.org/abs/hep-lat/0307024v3

Nucl.Phys. B674 (2003) 259-270

Physics

High Energy Physics

High Energy Physics - Lattice

1+14 pages, 1 figure, 1 reference added

Scientific paper

10.1016/j.nuclphysb.2003.09.045

We find that the fermion determinant is not generally positive in a class of lattice actions recently constructed by Cohen et al. [hep-lat/0307012]; these are actions that contain an exact lattice supersymmetry and have as their target (continuum) theory (4,4) 2-dimensional super-Yang-Mills. We discuss the implications of this finding for lattice simulations and give some preliminary results for the phase of the determinant in the phase-quenched ensemble.

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