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arXiv · 1010.3504

A formulation of domain-wall fermions in the Schrödinger functional

Shinji Takeda
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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.

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Shinji Takeda. 2010-10-18. A formulation of domain-wall fermions in the Schrödinger functional. https://doi.org/10.1103/physrevd.87.114506

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