Chiral gauge theories with domain wall fermions
M. Golterman, K. Jansen, D. Petcher, J. Vink
TL;DR
This paper explores the feasibility of constructing chiral gauge theories on the lattice using domain wall fermions, revealing persistent mirror fermions that challenge the approach.
Contribution
It investigates a lattice construction of chiral gauge theories with domain wall fermions and identifies the issue of mirror fermions always appearing.
Findings
Mirror fermions always seem to exist in the model.
Coupling only one zeromode to the gauge field does not eliminate mirror fermions.
The approach faces fundamental challenges in achieving purely chiral gauge theories.
Abstract
We have investigated a proposal to construct chiral gauge theories on the lattice using domain wall fermions. The model contains two opposite chirality zeromodes, which live on two domain walls. We couple only one of them to a gauge field, but find that mirror fermions which also couple to the gauge field always seem to exist.
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