Mass-Generation by Weyl-Symmetry Breaking
نویسنده
چکیده
A massless electroweak theory for leptons is formulated in a Weyl space, W4, yielding a Weyl invariant dynamics of a scalar field φ, chiral Dirac fermion fields ψL and ψR, and the gauge fields κμ, Aμ, Zμ,Wμ and W † μ allowing for conformal rescalings of the metric gμν and all fields with nonvanishing Weyl weight together with the corresponding transformations of the Weyl vector fields, κμ, representing the D(1) or dilatation gauge fields. The local group structure of this Weyl-electroweak (WEW) theory is given by G = SO(3, 1) ⊗ D(1)⊗ ∼ G — or its universal cover-
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Broken Weyl - Invariance and the Origin of Mass
A massless Weyl-invariant dynamics of a scalar, a Dirac spinor, and electromagnetic fields is formulated in a Weyl space, W4, allowing for conformal rescalings of the metric and of all fields with nontrivial Weyl weight together with the associated transformations of the Weyl vector fields κμ representing the D(1) gauge fields with D(1) denoting the dilatation group. To study the appearance of ...
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