Higgs inflation and teleparallel gravity

Raatikainen, Sami; Räsänen, Syksy

doi:10.1088/1475-7516/2019/12/021

Cited by 46 publications

(49 citation statements)

References 224 publications

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“…non-canonical kinetic couplings or teleparallel gravity have been considered in Refs. [111][112][113][114][115][116]. Also, we note that qualitatively nothing changes in the above discussion if the inflaton is not the SM Higgs but some other self-interacting scalar with a λφ 4 potential.…”

Section: Higgs Inflationmentioning

confidence: 91%

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Tenkanen

2020

Gen Relativ Gravit

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We present an introduction to cosmic inflation in the context of Palatini gravity, which is an interesting alternative to the usual metric theory of gravity. In the latter case only the metric g µν determines the geometry of space-time, whereas in the former case both the metric and the space-time connection Γ λ µν are a priori independent variables -a choice which can lead to a theory of gravity different from the metric one. In scenarios where the field(s) responsible for cosmic inflation are coupled non-minimally to gravity or the gravitational sector is otherwise extended, assumptions of the underlying gravitational degrees of freedom can have a big impact on the observational consequences of inflation. We demonstrate this explicitly by reviewing several interesting and well-motivated scenarios including Higgs inflation, R 2 inflation, and ξ-attractor models. We also discuss some prospects for future research and argue why r = 10 −3 is a particularly important goal for future missions that search for signatures of primordial gravitational waves.

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Section: Higgs Inflationmentioning

confidence: 91%

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Tenkanen

2020

Gen Relativ Gravit

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“…The issue of the nature and the number of the extra degree(s) of freedom of f pTq gravity and other modified teleparallel theories is still not settled, despite intense debate in recent years [17,18,19,20,21]. Here, we will briefly summarize some points that we feel are important to consider in a discussion:…”

Section: On the Extra Degree(s) Of Freedom Of F(t) Gravitymentioning

confidence: 97%

“…The disformally transformed torsion tensor is the antisymmetric part of this expression (21). Note, that if we want to specify the admissible arguments, for example, that C " Cpφ, pBφq 2 q, we just need to use the Leibniz rule, that is…”

Section: Disformal Transformation Of the Torsion Tensormentioning

confidence: 99%

Disformal Transformations in Modified Teleparallel Gravity

Golovnev

Guzmán

2020

Symmetry

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In this work, we explore disformal transformations in the context of the teleparallel equivalent of general relativity and modified teleparallel gravity. We present explicit formulas in components for disformal transformations of the main geometric objects in these theories such as torsion tensor, torsion vector and contortion. Most importantly, we consider the boundary term which distinguishes the torsion scalar from the Ricci scalar. With that we show for f pT q gravity that disformal transformations from the Jordan frame representation are unable to straightforwardly remove local Lorentz breaking terms that characterize it. However, we have shown that disformal transformations have interesting properties, which can be useful for future applications in scalar-torsion gravity models, among others.

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“…In the Palatini case not all such terms introduce new degrees of freedom, so they have a less drastic impact on both the classical potential and loop corrections, meaning the formulation is more robust to corrections [125]. Alternative formulations of GR introduce the possibility of new non-minimal couplings between the Higgs and the connection, which can qualitatively change the potential [52,76,82,83]. (In addition the Higgs kinetic terms can be non-minimally coupled, also in the metric case [50,84,94,95,[126][127][128][129][130][131][132][133][134].)…”

Section: Jhep04(2021)059mentioning

confidence: 99%

“…There are two complications. Quantum corrections can change the potential , and the choice of the formulation of GR can modify the relation between the particle physics potential and the evolution of the inflaton and spacetime [51,52].…”

Section: Introductionmentioning

confidence: 99%

Critical point Higgs inflation in the Palatini formulation

Enckell

Nurmi

Räsänen

et al. 2021

J. High Energ. Phys.

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We study Higgs inflation in the Palatini formulation with the renormalisation group improved potential in the case when loop corrections generate a feature similar to an inflection point. Assuming that there is a threshold correction for the Higgs quartic coupling λ and the top Yukawa coupling yt, we scan the three-dimensional parameter space formed by the two jumps and the non-minimal coupling ξ.The spectral index ns can take any value in the observationally allowed range. The lower limit for the running is αs> −3.5 × 10−3, and αs can be as large as the observational upper limit. Running of the running is small. The tensor-to-scalar ratio is 2.2×10−17< r < 2 × 10−5. We find that slow-roll can be violated near the feature, and a possible period of ultra-slow-roll contributes to the widening of the range of CMB predictions. Nevertheless, for the simplest tree-level action, the Palatini formulation remains distinguishable from the metric formulation even when quantum corrections are taken into account, because of the small tensor-to-scalar ratio.

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Higgs inflation and teleparallel gravity

Cited by 46 publications

References 224 publications

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Disformal Transformations in Modified Teleparallel Gravity

Critical point Higgs inflation in the Palatini formulation

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