U(1) Chiral gauge theory on lattice with gauge-fixed domain wall fermions
S. Basak, Asit K. De
TL;DR
This paper studies a U(1) lattice chiral gauge theory with domain wall fermions and gauge fixing, showing that no extra mirror modes appear and the fermion spectrum remains unaffected in both perturbative and numerical analyses.
Contribution
It demonstrates that gauge fixing and domain wall fermions can be combined in lattice U(1) chiral gauge theories without introducing mirror modes, supported by perturbative and numerical evidence.
Findings
No extra mirror chiral modes in the reduced model limit
Longitudinal gauge degrees of freedom do not affect the fermion spectrum
Similar results are observed at small Yukawa couplings
Abstract
We investigate a U(1) lattice chiral gauge theory with domain wall fermions and gauge fixing. In the reduced model limit, our perturbative and numerical investigations at Yukawa coupling y=1 show that there are no extra mirror chiral modes. The longitudinal gauge degrees of freedom have no effect on the free domain wall fermion spectrum consisting of opposite chiral modes at the domain wall and the anti-domain wall which have an exponentially damped overlap. Our numerical investigation at small Yukawa couplings also leads to similar conclusions as above.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.