A demonstration that electroweak theory can violate parity automatically (leptonic case)
Authors
Furey, C
Publication Date
2018-02-10Journal Title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN
0217-751X
Publisher
World Scientific
Volume
33
Issue
4
Number
ARTN 1830005
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Furey, C. (2018). A demonstration that electroweak theory can violate parity automatically (leptonic case). INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 33 (4. ARTN 1830005)https://doi.org/10.1142/S0217751X18300053
Abstract
We bring to light an electroweak model which has been reappearing in the literature under various guises, [1-5]. In this model, weak isospin is shown to act automatically on states of only a single chirality (left). This is achieved by building the model exclusively from the raising and lowering operators of the Clifford algebra Cl(4). That is, states constructed from these ladder operators mimic the behaviour of left- and right-handed electrons and neutrinos under unitary ladder operator symmetry. This ladder operator symmetry is
found to be generated uniquely by su(2)_L and u(1)_Y . Crucially, the model demonstrates how parity can be maximally violated, without the usual step of introducing extra gauge and extra Higgs bosons, or ad hoc projectors.
Keywords
Electroweak, parity violation, Clifford algebra, leptons, ladder operators, unitary symmetry, U(2), supersymmetry, spinor, Cl(4), number operator, weak hyper-charge, chiral, standard model of particle physics
Sponsorship
STFC (ST/L000385/1)
STFC (ST/P000681/1)
Embargo Lift Date
2100-01-01
Identifiers
External DOI: https://doi.org/10.1142/S0217751X18300053
This record's URL: https://www.repository.cam.ac.uk/handle/1810/274843
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