A demonstration that electroweak theory can violate parity automatically (leptonic case)


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Authors
Furey, C 
Abstract

jats:p We bring to light an electroweak model which has been reappearing in the literature under various guises.[Formula: see text] 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 [Formula: see text]. 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 [Formula: see text] and [Formula: see text]. 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. </jats:p>

Description
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
Journal Title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Conference Name
Journal ISSN
0217-751X
1793-656X
Volume Title
33
Publisher
World Scientific Pub Co Pte Lt
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
Science and Technology Facilities Council (ST/P000681/1)