Lattice supersymmetry with domain wall fermions

Supersymmetry, like Poincare symmetry, is softly broken at finite lattice spacing provided the gaugino mass term is strongly suppressed. Domain wall fermions provide the mechanism for suppressing this term by approximately imposing chiral symmetry. We present the first numerical simulations of N=1 supersymmetric SU(2) Yang-Mills on the lattice in four dimensions using domain wall fermions.Comment: 3 pages, 2 figures, to appear in the Proceedings of the Meeting of the Division of Particles and Fields of the American Physical Society (DPF2000), 9-12 August 2000, Columbus, Ohio, US

Thermodynamics of free domain wall and overlap fermions

Studies of non-interacting lattice fermions give an estimate of the size of discretization errors and finite size effects for more interesting problems like finite temperature QCD. We present a calculation of the thermodynamic equation of state for free domain wall and overlap fermions.Comment: 5 pages, 8 figures, Lattice 2000 (Finite Temperature

How well do domain wall fermions realize chiral symmetry?

In the domain wall fermion formulation, chiral symmetry breaking in full QCD is expected to fall exponentially with the length of the extra dimension. We measure the chiral symmetry breaking due to a finite extra dimension in two ways, which can be affected differently by finite volume and explicit fermion mass. For quenched QCD the two methods generally agree, except for the largest extent of the extra dimension, which makes the limit uncertain. We have less data for full QCD, but see exponential suppression for the method where we have data.Comment: 3 pages, 2 figures, LATTICE99(hightemp

Interacting staggered domain wall fermions

The behavior of staggered domain wall fermions in the presence of gauge fields is presented. In particular, their response to gauge fields with nontrivial topology is discussed.Comment: Lattice2002(Chiral) proceedings, LaTeX, 3 pages 2 eps figure