Communications in Theoretical Physics, Volume. 72, Issue 8, (2020)

Quadratic, Higgs and hilltop potentials in Palatini gravity

Nilay Bostan
Author Affiliations
  • Department of Physics and Astronomy, University of Iowa, 52242, Iowa City, IA, United States of America
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    AbstractIn this work, we study the theory of inflation with the non-minimally coupled quadratic, standard model Higgs, and hilltop potentials, through &xgr;φ2R term in Palatini gravity. We first analyze observational parameters of the Palatini quadratic potential as functions of &xgr; 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 &xgr; 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 &xgr; versus hilltop potentials, which agree with the observations for the inflaton values for φ < v and &xgr;, in which v ≪ 1 for both these high and low N scenarios. For each considered potential, we also display ns − r values fitted to the current data given by the Keck Array/BICEP2 and Planck collaborations.

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    Nilay Bostan. Quadratic, Higgs and hilltop potentials in Palatini gravity[J]. Communications in Theoretical Physics, 2020, 72(8):

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    Paper Information

    Received: Nov. 26, 2019

    Accepted: Mar. 10, 2020

    Published Online: Apr. 22, 2021

    The Author Email:

    DOI:10.1088/1572-9494/ab7ecb

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