Revisiting Witten-O'Raifeartaigh Inflation for a Non-minimally Coupled Scalar Field

Abstract

In this work, we revisit the Witten-O'Raifeartaigh model of inflation, in which the potential takes a ${\log }^2(\varphi /M)$ form, when the scalar field is non-minimally coupled to gravity. We investigate the impact of the coupling in the prediction of the inflationary parameters, thereby affecting the viability of the model. We find that a small coupling of order $\xi \sim 10^{-3}$ is preferred by data at the $n_s-r$ plane level, and that the presence of a non-zero $\xi$ allows for a large interval of the mass scale $M$, in which it is possible to achieve a low tensor-to-scalar ratio. We also establish constraints imposed by a subsequent reheating era, in which its duration and temperature can be related to CMB observables, which in return, restricts the possible values for the $n_s$ and $r$ parameters.

15 pages, 5 figures

References in corpus (20)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Standard Model Higgs boson as the inflaton
• Big-Bang Nucleosynthesis and Gravitino
• Inflation scenario via the Standard Model Higgs boson and LHC
• On Inflation with Non-minimal Coupling
• Reheating constraints to inflationary models
• Reheating predictions in single field inflation
• New models of chaotic inflation in supergravity
• Resurrecting Quadratic Inflation with a non-minimal coupling to gravity
• CMB constraints on the inflaton couplings and reheating temperature in $\alpha$-attractor inflation
• Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms
• Natural inflation with a nonminimal coupling to gravity
• Accounting for the time evolution of the equation of state parameter during reheating
• Constraining the general reheating phase in the $\alpha$-attractor inflationary cosmology
• Random Potentials and Cosmological Attractors
• Discrepancy between cosmological and electroweak observables in Higgs Inflation
• Variable Inflaton Equation of State and Reheating
• Constraining non-minimally coupled $\beta$-exponential inflation with CMB data
• Chaotic Inflation and Reheating in Generalized Scalar-Tensor Gravity
• Gravitino constraints on supergravity inflation

Cited by in corpus (2)

• Constraints on the non-minimally coupled Witten-O'Raifeartaigh inflation
• Witten-O'Raifeartaigh potential revisited in the context of Warm Inflation