<p>Following the recent Atacama Cosmology Telescope (ACT) results, we revisit chaotic inflation based on a single complex scalar field with mass term <i>M</i> <sup>2</sup>|Φ|<sup>2</sup>, which usually predicts a spectral index <i>n</i><sub><i>s</i></sub> ≈ 0.96 but a too-large tensor to scalar ratio <i>r</i> ≈ 0.16. With radiative corrections, the potential <i>M</i> <sup>2</sup>|Φ|<sup>2</sup> ln (|Φ|<sup>2</sup>/Λ<sup>2</sup>) induces spontaneous symmetry breaking near the scale Λ, yielding a Pseudo Nambu-Goldstone boson which can play the role of a quintessence field, hence radiative inflation and dark energy (RIDE). Including a non-minimal coupling to gravity <i>ξ</i>|Φ|<sup>2</sup><i>R</i><sup>2</sup> with <i>ξ</i> ~ 0.1 reduces the tensor to scalar ratio to <i>r</i> ≲ 0.03, allowing a good fit of the RIDE model to Planck data. Allowing a small additional quartic coupling correction <i>λ</i>|Φ|<sup>4</sup> allows a good fit to ACT data sets for <i>ξ</i> ∼ 1 and <i>λ</i> ∼ 10<sup>−5</sup>.</p>

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Chaotic inflation RIDES again

  • Venus Keus,
  • Stephen F. King

摘要

Following the recent Atacama Cosmology Telescope (ACT) results, we revisit chaotic inflation based on a single complex scalar field with mass term M 2|Φ|2, which usually predicts a spectral index ns ≈ 0.96 but a too-large tensor to scalar ratio r ≈ 0.16. With radiative corrections, the potential M 2|Φ|2 ln (|Φ|22) induces spontaneous symmetry breaking near the scale Λ, yielding a Pseudo Nambu-Goldstone boson which can play the role of a quintessence field, hence radiative inflation and dark energy (RIDE). Including a non-minimal coupling to gravity ξ|Φ|2R2 with ξ ~ 0.1 reduces the tensor to scalar ratio to r ≲ 0.03, allowing a good fit of the RIDE model to Planck data. Allowing a small additional quartic coupling correction λ|Φ|4 allows a good fit to ACT data sets for ξ ∼ 1 and λ ∼ 10−5.