A formulation of domain-wall fermions in the Schr\"odinger functional
High Energy Physics - Lattice
2013-06-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1010.3504,
title = {A formulation of domain-wall fermions in the Schr\"odinger functional},
author = {Shinji Takeda},
journal= {arXiv preprint arXiv:1010.3504},
year = {2013}
}
Comments
25 pages, 6 figures