Weyl geometric gravity and "breaking" of electroweak symmetry

Abstract

A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector of elementary particle fields, taking into account their basic scaling freedom. Already Cheng (1988) indicated that electroweak symmetry breaking, usually attributed to the Higgs field with a boson expected at $0.1-0.3TeV$, may be due to a coupling between Weyl geometric gravity and electroweak interactions. Weyl geometry seems to be well suited for treating questions of elementary particle physics, which relate to scale invariance and its "breaking". This setting suggests the existence of a scalar field boson at the surprisingly low energy of $\sim 1eV$. That may appear unlikely; but, as a payoff, the acquirement of mass arises as a result of coupling to gravity in agreement with the understanding of mass as the gravitational charge of fields.

Corrected and shortened version, accepted by Annalen der Physik

References in corpus (9)

• Ab-initio Determination of Light Hadron Masses
• Conformal Symmetry and the Standard Model
• A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
• Neutrino mass in radiatively-broken scale-invariant models
• Tractors, Mass and Weyl Invariance
• Conformal invariance from non-conformal gravity
• Broken Scale Invariance in the Standard Model
• Weyl's Gauge Invariance: Conformal Geometry, Spinors, Supersymmetry, and Interactions
• Comment on Shadow and Non-Shadow Extensions of the Standard Model

Cited by in corpus (12)

• Selected topics in scalar-tensor theories and beyond
• MOND-like acceleration in integrable Weyl geometric gravity
• Higgs and gravitational scalar fields together induce Weyl gauge
• A modified variational principle for gravity in modified Weyl geometry
• Gauging the spacetime metric -- looking back and forth a century later
• The problem of space in the light of relativity: the views of H. Weyl and E. Cartan
• Clusters of galaxies in a Weyl geometric approach to gravity
• A scalar field inducing a non-metrical contribution to gravitational acceleration and a compatible add-on to light deflection
• Dirac-Born-Infeld-Einstein theory with Weyl invariance
• The unexpected resurgence of Weyl geometry in late 20-th century physics
• A Conformally Invariant Theory of Gravitation in Metric Measure Space
• Local Scale Invariant Kaluza-Klein Reduction