Chiral fermion in the Hamiltonian lattice gauge theory

• URL: http://arxiv.org/abs/2305.18934v2
• Date: Tue, 29 Aug 2023 14:16:31 GMT
• Title: Chiral fermion in the Hamiltonian lattice gauge theory
• Authors: Tomoya Hayata, Katsumasa Nakayama, Arata Yamamoto
• Abstract summary: We discuss the chiral fermion in the Hamiltonian formalism of lattice gauge theory. We show that the Wilson fermion is a chiral fermion in one dimension.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We discuss the chiral fermion in the Hamiltonian formalism of lattice gauge theory. Although the naive chiral charge operator does not commute with the Hamiltonian, the commutable one can be defined for the overlap fermion. The eigenvalues of the energy and the chiral charge can be defined simultaneously. We study how the eigenvalue spectrum reflects chiral properties of systems, such as a chiral chemical potential and the axial anomaly. We also show that the Wilson fermion is a chiral fermion in one dimension.

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