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

In this work, we revisit the Witten-O'Raifeartaigh model of inflation, in which the potential takes a \(\operatorname{log}^2(\phi/M)\) 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, the...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: F B M dos Santos, Silva, R
Format: Article
Language:English
Subjects:
Coupling
Heating
Mathematical models
Parameters
Scalars
Tensors
Online Access:Get full text
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Summary:In this work, we revisit the Witten-O'Raifeartaigh model of inflation, in which the potential takes a \(\operatorname{log}^2(\phi/M)\) 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 \(\xi\sim10^{-3}\) 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2204.13694