Pole inflation from non-minimal coupling to gravity

Abstract

Transforming canonical scalars to the Einstein frame can give a multi-field generalization of pole inflation (namely, a scalar with a divergent kinetic term) at vanishing field-dependent Planck mass. However, to obtain an attractor, the scalar potential must obey certain non-generic conditions. These are automatically satisfied in Quantum Field Theories with dimension-less couplings. The resulting models of pole inflation have special inflationary predictions determined by the full RG running of couplings. Acceptable predictions for the tensor/scalar ratio arise for perturbative but moderately large couplings, so we explore the possible QFT runnings: to confinement, to an IR fixed point, and to a UV fixed point.

arXiv comment22 pages, 5 figures; journal version

References in corpus (34)

• On Renormalization Group Flows in Four Dimensions
• Universality Class in Conformal Inflation
• Superconformal Inflationary $\alpha$-Attractors
• N-flation
• The Unity of Cosmological Attractors
• Instant Preheating
• Superconformal generalizations of the Starobinsky model
• Agravity
• Trans-Planckian Censorship and the Swampland
• The $a$-theorem and the Asymptotics of 4D Quantum Field Theory
• Asymptotic safety guaranteed
• An Observational Test of Two-field Inflation
• Large Field Inflation and Double $\alpha$-Attractors
• Conformal Transformations with Multiple Scalar Fields
• Dynamically Induced Planck Scale and Inflation
• Cosmological Attractors and Initial Conditions for Inflation
• Planck, LHC, and $\alpha$-attractors
• Planck constraints on the tensor-to-scalar ratio
• The Hyperbolic Geometry of Cosmological Attractors
• Quintessential Inflation with $\alpha$-attractors
• Single-field $\alpha$-attractors
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• Inflationary Perturbations in No-Scale Theories
• On the geometrical interpretation of scale-invariant models of inflation
• Generalized Pole Inflation: Hilltop, Natural, and Chaotic Inflationary Attractors
• Frame Covariant Nonminimal Multifield Inflation
• Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
• Pole Inflation - Shift Symmetry and Universal Corrections
• Inflationary quasi-scale invariant attractors
• Beyond the Poles in Attractor Models of Inflation
• Pole N-flation
• Attractor Cosmology from non-minimally Coupled Gravity
• Structure of Kähler potential for D-term inflationary attractor models
• Chaotic initial conditions for nonminimally coupled inflation via a conformal factor with a zero

Cited by in corpus (3)

• Increase of $n_s$ in regularized pole inflation & Einstein-Cartan gravity
• An Alternative Framework for E-Model Inflation in Supergravity
• Starobinsky Inflation with T-Model Kaehler Geometries