A note on the practical feasibility of domain-wall fermions

Abstract

Domain-wall fermions preserve chiral symmetry up to terms that decrease exponentially when the lattice size in the fifth dimension is taken to infinity. The associated rates of convergence are given by the low-lying eigenvalues of a simple local operator in four dimensions. These can be computed using the Ritz functional technique and it turns out that the convergence tends to be extremely slow in the range of lattice spacings relevant to large-volume numerical simulations of lattice QCD. Two methods to improve on this situation are discussed.

14 pages, talk given by P. H. at the workshop on {\em Current theoretical problems in lattice field theory}, Ringberg, Germany

Cited by in corpus (7)

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• Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Chiral symmetry on the lattice