arXiv subjects

E. Castillo-Ruiz

Publications and source records attributed to E. Castillo-Ruiz.

3 recordsLinked to original sources

arXiv2025

Tensorial charge assignments in unitary groups

We present an index-based tensorial formulation for computing eigenvalues of charge operators acting on arbitrary tensor representations of unitary gauge groups. The construction follows directly from the action of Cartan generators on tensor products and the additivity of weights, leading to a compact operator acting on general $(i_p,i_q)$ tensors. This framework provides a practical bookkeeping tool for assigning charges to arbitrary-dimensional multiplets appearing in model building. Explicit applications to $SU(2)$, $SU(3)$, and $SU(5)$ representations are discussed.

hep-ph↗

arXiv2021

Explicit parity violation in $SU(2)_L\otimes SU(2)_R\otimes U(1)_{B-L}$ models

Here we propose models with $SU(2)_L\otimes SU(2)_R\otimes U(1)_{B-L}$ electroweak gauge symmetry in which parity (or charge conjugation) is broken explicitly and the interactions of left- and right-handed fermions are completely different from each other at any energy scale. In these sort of models there is no restoration of parity at high energies. However, as in all left-right symmetric models, the electroweak charged interactions of quarks and leptons appear to be only left-handed at low energies, because the right-handed interactions are suppressed by the mass of the respective charged vector bosons and/or because these interactions may be much weaker than the left-handed ones.

hep-ph↗

arXiv2020

Electric charge assignment in quantum field theories

In Field theories with simple or semi-simple unitary, local or global symmetries, the electric charge is related to a global one. This is the case also in electroweak gauge theories even before the spontaneous symmetry breaking (SSB), where these quantities are defined in order to expand the Lagrangian respecting the conservation laws after the breaking. So, the electric charge assignment within a given multiplet is done (in units of jej) considering only global symmetries, even though in general, the electric charge operator is a linear combination of the diagonal generators of the non-Abelian symmetry plus some Abelian factor. In this work we show how this operator can be systematically constructed from any representation in the Standard Model and some of its extensions as the 3-3-1, left-right symmetric and grand unified models.

hep-ph↗