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.
%0 Journal Article
%1 Giedt:2003vy
%A Giedt, Joel
%D 2003
%J Nucl. Phys.
%K D2 Determinant Lattice LatticeSusy N4 SYM SignProblem
%P 259-270
%R 10.1016/j.nuclphysb.2003.09.045
%T The fermion determinant in (4,4) 2d lattice super-Yang-
Mills
%U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0307024
%V B674
%X 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.
@article{Giedt:2003vy,
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. },
added-at = {2009-03-22T13:03:22.000+0100},
archiveprefix = {arXiv},
author = {Giedt, Joel},
biburl = {https://www.bibsonomy.org/bibtex/2a5e5ff0d3c13e25da7640ba602dcc701/gber},
description = {SPIRES-HEP: FIND EPRINT HEP-LAT/0307024},
doi = {10.1016/j.nuclphysb.2003.09.045},
eprint = {hep-lat/0307024},
interhash = {d5ce587ed25fef02e4d59f4eea85a2b5},
intrahash = {a5e5ff0d3c13e25da7640ba602dcc701},
journal = {Nucl. Phys.},
keywords = {D2 Determinant Lattice LatticeSusy N4 SYM SignProblem},
pages = {259-270},
slaccitation = {%%CITATION = HEP-LAT/0307024;%%},
timestamp = {2009-03-22T13:10:32.000+0100},
title = {{The fermion determinant in (4,4) 2d lattice super-Yang-
Mills}},
url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/0307024},
volume = {B674},
year = 2003
}