English

The Standard Model and the Lattice

High Energy Physics - Lattice 2024-01-08 v3 High Energy Physics - Phenomenology

Abstract

The SU(3)SU(2)U(1)SU(3)\otimes SU(2) \otimes U(1) standard model maps smoothly onto a conventional lattice gauge formulation, including the parity violation of the weak interactions. The formulation makes use of the pseudo-reality of the weak group and requires the inclusion a full generation of both leptons and quarks. As in continuum discussions, chiral eigenstates of the Dirac operator generate known anomalies, although with rough gauge configurations these are no longer exact zero modes of the Dirac operator.

Keywords

Cite

@article{arxiv.2310.00061,
  title  = {The Standard Model and the Lattice},
  author = {Michael Creutz},
  journal= {arXiv preprint arXiv:2310.00061},
  year   = {2024}
}

Comments

12 pages, 2 figures. Revisions include numerous added references and brief comments on comparisons with other methods

R2 v1 2026-06-28T12:36:37.096Z