The standard model and parity conservation

TL;DR

This paper proposes a lattice regularization of the standard model that preserves gauge symmetries and parity at high energies by using bound states to decouple fermion doublers without spontaneous symmetry breaking.

Contribution

It introduces a novel lattice approach with Weyl fields forming bound states, ensuring gauge invariance and anomaly cancellation without symmetry breaking at the lattice scale.

Findings

Gauge symmetries are realized by massive vectorlike spectra at high energies.

Massless chiral spectra are recovered at low energies.

Parity symmetry is predicted to be restored at high energies.

Abstract

On the basis of previous work on chiral gauged fermions on a lattice, we discuss the lattice-regularization of the standard model by introducing two Weyl fields interacting with quarks and leptons. These interactions form massive bound states to gauge-invariantly decouple doublers at high energies and these bound states dissolve into their constituents at low energies. No any hard spontaneous symmetry breakings occur at the lattice scale \pi/a. As a consequence, the gauge symmetries of the standard model are realized by both massive vectorlike spectra at high energies and massless chiral spectra at low energies. Such a scenario is consistent with the gauge-anomaly cancelation, flavor-singlet anomaly and Witten's anomaly. These studies predict that the parity symmetry must be restored at high energies.