Inflation in models with Conformally Coupled Scalar fields: An application to the Noncommutative Spectral Action - High Energy Physics - TheoryReport as inadecuate




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Abstract: Slow-roll inflation is studied in theories where the inflaton field isconformally coupled to the Ricci scalar. In particular, the case of Higgs fieldinflation in the context of the noncommutative spectral action is analyzed. Itis shown that while the Higgs potential can lead to the slow-roll conditionsbeing satisfied once the running of the self-coupling at two-loops is included,the constraints imposed from the CMB data make the predictions of such ascenario incompatible with the measured value of the top quark mass. We alsoanalyze the role of an additional conformally coupled massless scalar field,which arises naturally in the context of noncommutative geometry, forinflationary scenarios.



Author: Michel Buck, Malcolm Fairbairn, Mairi Sakellariadou

Source: https://arxiv.org/



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