A formulation of domain-wall fermions in the Schrödinger functional

Details A formulation of domain-wall fermions in the Schrödinger functional A formulation of domain-wall fermions in the Schrödinger functional

2010-10-18

arxiv.org/abs/1010.3504v1

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 6 figures

Scientific paper

We present a formulation of domain-wall fermions in the Schr\"odinger 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.

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