Canonical Approach to Ginsparg-Wilson Fermion
Kosuke Matsui, Tomohiro Okamoto, Takanori Fujiwara (Ibaraki, Univ.)
TL;DR
This paper explores the canonical formulation of Ginsparg-Wilson fermions on a spatial lattice, demonstrating exact chiral symmetry for free fermions and analyzing chiral anomaly emergence with gauge interactions.
Contribution
It provides a canonical framework for Ginsparg-Wilson fermions, highlighting chiral symmetry realization and anomaly relation in lattice gauge theory.
Findings
Exact chiral symmetry for free fermions without species doubling
Chiral symmetry violation in the presence of gauge fields
Axial current divergence linked to chiral anomaly
Abstract
Based upon the lattice Dirac operator satisfying the Ginsparg-Wilson relation, we investigate canonical formulation of massless fermion on the spatial lattice. For free fermion system exact chiral symmetry can be implemented without species doubling. In the presence of gauge couplings the chiral symmetry is violated. We show that the divergence of the axial vector current is related to the chiral anomaly in the classical continuum limit.
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.