Inflation in gauge theory of gravity with local scaling symmetry and quantum induced symmetry breaking

Abstract

Motivated by the gauge theory of gravity with local scaling symmetry proposed recently in 1712.04537 and 1506.01807, we investigate whether the scalar field therein can be responsible for the inflation. We show that the classical theory would suffer from the difficulty that inflation can start but will never stop. We explore possible solutions by invoking the symmetry breaking through quantum effects. The effective potential of the scalar field is shown to have phenomenologically interesting forms to give viable inflation models. The predictions of physical observables agree well with current cosmological measurements and can be further tested in future experiments searching for primordial gravitational waves.

1+14 pages, 3 figures, discussions and references updated, published version

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• Inflation as a spontaneous symmetry breaking of Weyl symmetry
• Multiple point criticality principle and Coleman-Weinberg inflation
• Weyl Scaling Invariant $R^2$ Gravity for Inflation and Dark Matter
• Weyl Symmetry Inspired Inflation and Dark Matter
• Conformal $\alpha$-attractor Inflation with Weyl Gauge Field
• Inflation in Weyl Scaling Invariant Gravity with $R^3$ Extensions
• Gravitational Waves from Preheating in Inflation with Weyl Symmetry
• Cosmic inflation from broken conformal symmetry
• On Conformal Transformation with Multiple Scalar Fields and Geometric Property of Field Space with Einstein-like Solutions
• Inflation in light of ACT/SPT: A new perspective from Weyl gravity
• Revisiting local-scale invariant gravitational theory
• Non-minimally coupled scalar field and scaling symmetry in a cosmological background