Lattice chiral symmetry, Yukawa couplings and the Majorana condition
Kazuo Fujikawa, Masato Ishibashi (Dept. of Physics, Univ. of Tokyo)
TL;DR
This paper explores the fundamental conflict between lattice chiral symmetry and the Majorana condition when Yukawa couplings are present, linking it to properties of Ginsparg-Wilson operators such as locality and species doubling.
Contribution
It clarifies the underlying reasons for the conflict, emphasizing the role of Ginsparg-Wilson operators' properties in lattice formulations.
Findings
The conflict is related to locality and species doubling of Ginsparg-Wilson operators.
The paper provides insights into the fundamental limitations of lattice chiral symmetry with Majorana fermions.
It connects the conflict to core properties of lattice Dirac operators.
Abstract
It is shown that the conflict between lattice chiral symmetry and the Majorana condition in the presence of Yukawa couplings, which was noted in our previous paper, is related in an essential way to the basic properties of Ginsparg-Wilson operators, namely, locality and species doubling.
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.