Quadratic, Higgs and hilltop potentials in Palatini gravity  

作　　者：Nilay Bostan 

机构地区：[1]Department of Physics and Astronomy,University of Iowa,52242,Iowa City,IA,United States of America

出　　处：《Communications in Theoretical Physics》2020年第8期96-108,共13页理论物理通讯（英文版）

摘　　要：In this work,we study the theory of inflation with the non-minimally coupled quadratic,standard model Higgs,and hilltop potentials,throughξφ~2R term in Palatini gravity.We first analyze observational parameters of the Palatini quadratic potential as functions ofξfor the high-N scenario.In addition to this,taking into account that the inflaton field f 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 differentξvalues,where inflaton values are bothφ>v andφ<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 onξversus hilltop potentials,which agree with the observations for the inflaton values forφ<v andξ,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.

关 键 词：non-minimal inflation Palatini gravity Keck Array/BICEP2 and Planck results 

分 类 号：O314[理学—一般力学与力学基础]