Conserved Non-Singlet Charges for Staggered Fermion Hamiltonian in 3+1 Dimensions
High Energy Physics - Lattice
2026-03-31 v2
Abstract
We study conserved charges of the staggered fermion Hamiltonian in 3+1 dimensions. By decomposing staggered fermions into Majorana components and exploiting lattice translation symmetries, we construct a set of conserved non-singlet charges. We analyze their algebra andshow that, although the charges exhibit nontrivial non-commutativity on the lattice, they generate axial SU(2)_L \tines SU(2)_R transformations for low-energy degrees of freedom in the continuum limit. Possible implications for anomalies are discussed.
Keywords
Cite
@article{arxiv.2603.26084,
title = {Conserved Non-Singlet Charges for Staggered Fermion Hamiltonian in 3+1 Dimensions},
author = {Tetsuya Onogi and Tatsuya Yamaoka},
journal= {arXiv preprint arXiv:2603.26084},
year = {2026}
}
Comments
Typo corrected. 7 pages. Talk presented at the 42nd International Symposium on Lattice Field Theory (LATTICE2025), 2-8 November 2025, Tata Institute of Fundamental Research, Mumbai, India