Electric charge quantization in SU(3)_c X SU(3)_L X U(1)_X model

TL;DR

This paper demonstrates that electric charge quantization in an SU(3)_c x SU(3)_L x U(1)_X model with exotic particles depends on Higgs fields and anomaly cancellation, independent of certain parameters, and derives related gauge boson properties.

Contribution

It shows that electric charge quantization in the model is determined by Higgs hypercharges and anomaly cancellation, providing explicit expressions for gauge boson masses and interactions.

Findings

Charge quantization depends on Higgs hypercharges.

Classical Yukawa constraints are equivalent to electromagnetic parity invariance.

Derived general expressions for gauge boson masses and interactions.

Abstract

Basing on the general photon eigenstate and anomaly cancellation, it is shown that the electric charge quantization in SU(3)_c X SU(3)_L X U(1)_X model with exotic particles can be obtained independently on parameters alpha and betta. The fixation of hypercharges of fermions fields by the Higgs fields and dependence of the electric charges quantization conditions from the hypercharges of Higgs fields leads to the fact that the electric charge in the considered model can be quantized and fixed only in the presence of Higgs fields. In addition, we have shown that in the considered model the classical constraints following from the Yukawa interactions are equivalent to the conditions following from the parity invariance of electromagnetic interaction. The most general expressions for the gauge bosons masses, eigenstates of neutral fields and the interactions of leptons and quarks with gauge bosons have been derived in the arbitrary case