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.
Ohanian,Weyl gauge-vector and complex dilaton scalar for conformal symmetry and its breaking,Gen
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abstract
Instead of the scalar "dilaton" field that is usually adopted to construct conformally invariant Lagrangians for gravitation, we here propose a hybrid construction, involving both a complex dilaton scalar and a Weyl gauge-vector, in accord with Weyl's original concept of a non-Riemannian conformal geometry with a transport law for length and time intervals, for which this gauge vector is required. Such a hybrid construction permits us to avoid the wrong sign of the dilaton kinetic term (the ghost problem) that afflicts the usual construction. The introduction of a Weyl gauge-vector and its interaction with the dilaton also has the collateral benefit of providing an explicit mechanism for spontaneous breaking of the conformal symmetry, whereby the dilaton and the Weyl gauge-vector acquire masses somewhat smaller than m/sub/P by the Coleman-Weinberg mechanism. Conformal symmetry breaking is assumed to precede inflation, which occurs later by a separate GUT or electroweak symmetry breaking, as in inflationary models based on the Higgs boson.
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Weyl geometry is equivalent to Riemannian geometry of a non-local dressed metric g*_{\mu\nu} via Wilson lines, with the quadratic and WDBI actions taking the same form in the symmetric phase.
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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Weyl conformal geometry vs Riemannian geometry of Weyl gauge invariant dressed metric
Weyl geometry is equivalent to Riemannian geometry of a non-local dressed metric g*_{\mu\nu} via Wilson lines, with the quadratic and WDBI actions taking the same form in the symmetric phase.