Nonperturbative Renormalization for Domain Wall Fermions and the Chiral Condensate

The RBC collaboration has performed simulations with domain wall fermions (DWF) and the DBW2 gauge action and presented results for weak matrix elements. This report focuses on the chiral condensate 〈ψ̄ψ〉 and exploits nonperturbative renormalization calculations to get physical values for both quenched and dynamical fermions. The simulation details are given the Table 1. Two lattice volumes are used, 24 × 48 for a−1 = 3GeV, and 163×32 for the others. Domain wall fermion are used for all simulations with three values of Ls: 16 for the Wilson gauge action and for the DBW2 gauge action with a−1 = 2GeV and 1.3GeV, 10 for a−1 = 3GeV and 12 for dynamical fermions. Among these, data and simulation details for the Wilson gauge action and DBW2 gauge action with 1.3GeV and 2GeV have already reported[2]. The DBW2, 3GeV quenched and dynamical fermion simulations with a−1 = 1.8GeV are reported in this meeting by RBC[3].