English

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

High Energy Physics - Lattice 2010-04-05 v3 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/0307024,
  title  = {The fermion determinant in (4,4) 2d lattice super-Yang-Mills},
  author = {Joel Giedt},
  journal= {arXiv preprint arXiv:hep-lat/0307024},
  year   = {2010}
}

Comments

1+14 pages, 1 figure, 1 reference added