Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal   Domain-Wall Fermion
  We derive the axial Ward identity for lattice QCD with domain-wall fermions, and from which we obtain a formula for the residual mass (45)-(46), that can be used to measure the chiral symmetry breaking due to the finite extension Ns in the fifth dimension. Furthermore, we obtain an upper bound for the residual mass in lattice QCD with the optimal domain-wall fermion. 
Yu-Chih Chen, Ting-Wai Chiu (TWQCD collaboration)
hep-lat hep-ph hep-th