A formulation of domain-wall fermions in the Schrödinger functional

Abstract

We present a formulation of domain-wall fermions in the Schrödinger functional by following a universality argument. To examine the formulation, we numerically investigate the spectrum of the free operator and perform a one-loop analysis to confirm universality and renormalizability. We also study the breaking of the Ginsparg-Wilson relation to understand the structure of chiral symmetry breaking from two sources: The bulk and boundary. Furthermore, we discuss the lattice artifacts of the step scaling function by comparing with other fermion discretizations.

25 pages, 6 figures

References in corpus (3)

• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• The Schrödinger functional in lattice QCD with exact chiral symmetry
• Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional

Cited by in corpus (4)

• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• Non-perturbative renormalization in lattice QCD
• The one-loop analysis of the beta-function in the Schroedinger Functional for Moebius Domain Wall Fermions
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme