Weyl x SU(2)L x U(1)Y gauge theory with quadratic curvature generates Einstein-Hilbert action, Higgs potential, and Standard Model masses via spontaneous Weyl symmetry breaking.
Jackiw and S.-Y
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abstract
We examine the local conformal invariance (Weyl invariance) in tensor-scalar theories used in recently proposed conformal cosmological models. We show that the Noether currents associated with Weyl invariance in these theories vanish. We assert that the corresponding Weyl symmetry does not have any dynamical role.
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Weyl symmetry of gravity is restored if masses transform as m → Ω^{-1}m under conformal changes, allowing any matter to couple invariantly and potentially accounting for dark energy and dark matter.
The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.
citing papers explorer
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Spontaneous Symmetry Breaking and the Emergent Einstein-Standard Model: From Weyl x SU (2)L x U (1)Y Gauge Theory to Geometric Mass Generation
Weyl x SU(2)L x U(1)Y gauge theory with quadratic curvature generates Einstein-Hilbert action, Higgs potential, and Standard Model masses via spontaneous Weyl symmetry breaking.
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Could a so far ignored symmetry of the classical laws of gravity explain the cosmological puzzles?
Weyl symmetry of gravity is restored if masses transform as m → Ω^{-1}m under conformal changes, allowing any matter to couple invariantly and potentially accounting for dark energy and dark matter.
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The Unknown Face of Scalar-Tensor Gravitational Theories
The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.