2021
DOI: 10.1007/jhep01(2021)011
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Non-minimal (self-)running inflation: metric vs. Palatini formulation

Antonio Racioppi

Abstract: We consider a model of quartic inflation where the inflaton is coupled non-minimally to gravity and the self-induced radiative corrections to its effective potential are dominant. We perform a comparative analysis considering two different formulations of gravity, metric or Palatini, and two different choices for the renormalization scale, widely known as prescription I and II. Moreover we comment on the eventual compatibility of the results with the final data release of the Planck mission.

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Cited by 27 publications
(5 citation statements)
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“…Meanwhile, the predicted tensor-to-scalar ratio r runs from small values in the negative regions of a to a asymptotic value r 0.072 at large radiative corrections. These asymptotic values are in agreement with the results obtained in [81][82][83]. In both panels, the parameters seem to acquire a slight sensitivity to ξ in the region 0.1 a 0.6.…”
Section: Slow-roll Analysissupporting
confidence: 90%
“…Meanwhile, the predicted tensor-to-scalar ratio r runs from small values in the negative regions of a to a asymptotic value r 0.072 at large radiative corrections. These asymptotic values are in agreement with the results obtained in [81][82][83]. In both panels, the parameters seem to acquire a slight sensitivity to ξ in the region 0.1 a 0.6.…”
Section: Slow-roll Analysissupporting
confidence: 90%
“…This term makes most inflationary models more compatible with the observations, such as the Starobinsky (R 2 inflation) model [12], which gives the best consistency for all current existing data. It is important to note that, in literature, inflation with a non-minimally coupled scalar field has been studied for two different formulations in gravity [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], Metric and Palatini formulations. In the Einstein-Hilbert Lagrangian, equations of motion are the same for both formulations.…”
Section: Introductionmentioning
confidence: 99%
“…The predictions of the two formalisms correspond to the same equations of motion, so they describe equivalent physical theories. However, in case of non-minimal couplings between gravity and matter, such equivalence is disappear and the two formulations illustrate different gravity theories [16,[23][24][25][26][27][28]. In the literature, Palatini formulation of inflation with non-minimal coupling debated in refs.…”
Section: Introductionmentioning
confidence: 99%