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Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
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abstract
In the framework of classical scale invariance, we consider quadratic gravity in the Palatini formalism and investigate the inflationary predictions of the theory. Our model corresponds to a two-field scalar-tensor theory, that involves the Higgs field and an extra scalar field stemming from a gauge $U(1)_X$ extension of the Standard Model, which contains an extra gauge boson and three right-handed neutrinos. Both scalar fields couple nonminimally to gravity and induce the Planck scale dynamically, once they develop vacuum expectation values. By means of the Gildener-Weinberg approach, we describe the inflationary dynamics in terms of a single scalar degree of freedom along the flat direction of the tree-level potential. The one-loop effective potential in the Einstein frame exhibits plateaus on both sides of the minimum and thus the model can accommodate both small and large field inflation. The inflationary predictions of the model are found to comply with the latest bounds set by the Planck collaboration for a wide range of parameters and the effect of the quadratic in curvature terms is to reduce the value of the tensor-to-scalar ratio.
Forward citations
Cited by 7 Pith papers
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For non-minimally coupled Palatini R^2 inflation with a runaway potential, the predicted primordial gravitational wave spectrum has two flat plateaus connected by a kination boost, and it becomes more observable as th...
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A parameter scan of constant-roll β-exponential inflation in Palatini R² gravity claims agreement with ACT/Planck contours, but the derivation is undermined by algebraic sign errors and an absent non-Gaussianity calculation.
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