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Electric charge assignment in quantum field theories

E. Castillo-Ruiz
(
- UNI, Lima
)
,
V. Pleitez
(
- Sao Paulo, IFT
)
,
O.P. Ravinez
(
- UNI, Lima and
- ICTP-SAIFR, Sao Paulo
)

Jan 9, 2020

20 pages

e-Print:

2001.03104 [hep-ph]

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Abstract: (arXiv)

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.

Note:

20 pages

12.60.-i
12.60.Cn
12.60.Fr
charge: electric
symmetry: global
charge: operator
symmetry: nonabelian
spontaneous symmetry breaking
grand unified theory: SU(5)
gauge field theory: SU(3)

References(18)

Figures(0)

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