REVIEW 4 cited by
A lattice formulation of Weyl fermions on a single curved surface
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
In the standard lattice domain-wall fermion formulation, one needs two flat domain-walls where both of the left- and right-handed massless modes appear. In this work we investigate a single domain-wall system with a nontrivial curved background. Specifically we consider a massive fermion on a $3D$ square lattice, whose domain-wall is a $2D$ sphere. In the free theory, we find that a single Weyl fermion is localized at the wall and it feels gravity through the induced spin connection. With a topologically nontrivial $U(1)$ link gauge field, however, we find a zero mode with the opposite chirality localized at the center where the gauge field is singular. In the latter case, the low-energy effective theory is not chiral but vectorlike. We discuss how to circumvent this obstacle in formulating lattice chiral gauge theory in the single domain-wall fermion system.
Forward citations
Cited by 4 Pith papers
-
Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry
A tunable family of Ginsparg-Wilson Hamiltonians is constructed in which the chiral charge becomes progressively more quantized as k increases, though locality degrades.
-
Regulated chiral gauge theory and the strong CP problem
The BχF five-dimensional regulator for chiral gauge theories simultaneously solves the strong CP problem and the U(1)_A problem for QCD, via bulk fermion zeromodes that quench nontrivial topological vacuum contributions.
-
$\eta$ invariant of massive Wilson Dirac operator and the index
The massive Wilson Dirac operator's eta invariant equals the continuum Dirac index on flat tori at sufficiently small lattice spacing, via K-theory.
-
Lattice Weyl Fermion on a Single Spherical Domain-Wall
On a spherical domain-wall lattice, a monopole background generates an extra center-localized zero mode with opposite chirality, so the low-energy theory is vector-like rather than chiral.
Discussion (0). Continue with ORCID to comment.