Quadratic, Higgs and hilltop potentials in Palatini gravity


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BOSTAN N.

Communications in Theoretical Physics, cilt.72, sa.8, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 8
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1088/1572-9494/ab7ecb
  • Dergi Adı: Communications in Theoretical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, INSPEC, zbMATH
  • Anahtar Kelimeler: Keck Array/BICEP2 and Planck results, non-minimal inflation, Palatini gravity
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this work, we study the theory of inflation with the non-minimally coupled quadratic, standard model Higgs, and hilltop potentials, through ξφ 2 R term in Palatini gravity. We first analyze observational parameters of the Palatini quadratic potential as functions of ξ for the high-N scenario. In addition to this, taking into account that the inflaton field φ has a non-zero vacuum expectation value v after inflation, we display observational parameters of well-known symmetry-breaking potentials. The types of potentials considered are the Higgs potential and its generalizations, namely hilltop potentials in the Palatini formalism for the high-N scenario and the low-N scenario. We calculate inflationary parameters for the Palatini Higgs potential as functions of v for different ξ values, where inflaton values are both φ > v and φ < v during inflation, as well as calculating observational parameters of the Palatini Higgs potential in the induced gravity limit for high-N scenario. We illustrate differences between the Higgs potential's effect on ξ versus hilltop potentials, which agree with the observations for the inflaton values for φ < v and ξ, in which v ≪ 1 for both these high and low N scenarios. For each considered potential, we also display n s - r values fitted to the current data given by the Keck Array/BICEP2 and Planck collaborations.