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- Title
A Lattice Formulation of Weyl Fermions on a Single Curved Surface.
- Authors
Aoki, Shoto; Fukaya, Hidenori; Kan, Naoto
- 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.
- Subjects
WEYL fermions; CURVED surfaces; LATTICE gauge theories; CHIRAL centers; MAJORANA fermions
- Publication
Progress of Theoretical & Experimental Physics: PTEP, 2024, Vol 2024, Issue 4, p1
- ISSN
2050-3911
- Publication type
Article
- DOI
10.1093/ptep/ptae041