Asymptotic Conformal Invariance of SU(2) and Standard Models in  Curved Space–Time

Yoon, Young-Soo; Yoon, Yongsung

doi:10.1142/s0217751x97001602

Cited by 17 publications

(21 citation statements)

References 10 publications

(16 reference statements)

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“…It is out-of equilibrium process yielding a non-vanishing transverse-traceless part of energy-momentum tensor feeding gravity waves. The typical frequency at production is about H reh [21], which gets redshifted and presently coincides with f * (25). The signal amplitude does not depend on the reheating temperature [21].…”

Section: Gravity Wave Signals From Inflation and From Scalaron Clumpsmentioning

confidence: 59%

R²-inflation with conformal SM Higgs field

Gorbunov

Tokareva²

2013

J. Cosmol. Astropart. Phys.

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We introduce conformal coupling of the Standard Model Higgs field to gravity and discuss the subsequent modification of R 2 -inflation. The main observation is a lower temperature of reheating which happens mostly through scalaron decays into gluons due to the conformal (trace) anomaly. This modifies all predictions of the original R 2inflation. To the next-to-leading order in slow roll parameters we calculate amplitudes and indices of scalar and tensor perturbations produced at inflation. The results are compared to the next-to-leading order predictions of R 2 -inflation with minimally coupled Higgs field and of Higgs-inflation. We discuss additional features in gravity wave signal that may help to distinguish the proposed variant of R 2 -inflation. Remarkably, the features are expected in the region available for study at future experiments like BBO and DECIGO. Finally, we check that (meta)stability of electroweak vacuum in the cosmological model is consistent with recent results of searches for the Higgs boson at LHC. arXiv:1212.4466v2 [astro-ph.CO] 6 Dec 2013In this paper we consider the Starobinsky inflation with matter sector described by the Standard Model of particle physics (SM) which scalar sector is slightly modified. Namely, we add a conformal coupling of the SM Higgs field to gravity. This term leaves intact the low energy phenomenology of the SM, but impacts on the history of the early Universe. Indeed, we found that with the Higgs boson becoming conformal at high energies, reheating of the Universe takes place later and occurs via gluon production due to the conformal (trace) anomaly. The idea of conformal anomaly being responsible for reheating was discussed in literature, e.g., [3,4]. Here it is natural consequence of the conformal symmetry in our model.Lower reheating temperature implies longer matter dominated stage between inflation and reheating. This modifies all predictions for power spectra of scalar and tensor perturbations generated at inflation. Likewise, this modifies predictions for gravity wave signals expected from nonlinear structure dynamics at post-inflationary stage. These are special signals in gravity waves given the long-lasting post-inflationary matter dominated stage. Remarkably, the signals fall in the region expected to be reached by proposed future experiments like BBO [5] and DECIGO [6] on searches for gravity waves. These signals have been proposed [7] as signatures of R 2 -inflation. The same is true for our variant with conformal Higgs, where the features in gravity wave spectrum are expected at different frequencies, which allows to test the model. Finally, the non-minimal coupling provides with additional term in the Higgs effective potential, which becomes important at large scalar curvature. This can change the answer to the question: in which vacuum does the Higgs field fall in the expanding Universe, given the value of the Higgs self-coupling (or the Higgs boson mass)?We address all these issues below. The model is presented in Sec. 2, and reheating is studied...

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Section: Gravity Wave Signals From Inflation and From Scalaron Clumpsmentioning

confidence: 59%

R²-inflation with conformal SM Higgs field

Gorbunov

Tokareva²

2013

J. Cosmol. Astropart. Phys.

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“…RGE for the ξ term have been computed in the literature in some models [83][84][85][86]; we find different and simpler gravitational terms. Specialising our general eq.…”

Section: Jhep06(2014)080mentioning

confidence: 71%

Agravity

Salvio

Струмиа

2014

J. High Energ. Phys.

308

439

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Abstract:We explore the possibility that the fundamental theory of nature does not contain any scale. This implies a renormalizable quantum gravity theory where the graviton kinetic term has 4 derivatives, and can be reinterpreted as gravity minus an anti-graviton. We compute the super-Planckian RGE of adimensional gravity coupled to a generic matter sector. The Planck scale and a flat space can arise dynamically at quantum level provided that a quartic scalar coupling and its β function vanish at the Planck scale. This is how the Higgs boson behaves for M h ≈ 125 GeV and M t ≈ 171 GeV. Within agravity, inflation is a generic phenomenon: the slow-roll parameters are given by the β-functions of the theory, and are small if couplings are perturbative. The predictions n s ≈ 0.967 and r ≈ 0.13 arise if the inflaton is identified with the Higgs of gravity. Furthermore, quadratically divergent corrections to the Higgs mass vanish: a small weak scale is natural and can be generated by agravity quantum corrections.

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“…The constraint ξ 0 = 1/12 does not require by itself the coupling to remain conformal 8 , since it may run with the energy scale. Performing renormalization group analysis of the nonminimally coupled SM, it was argued [19,20] that there are no quantum corrections to ξ 0 , if it is exactly conformal at some energy scale. This claim was based on the observation that there are no nonconformal values for the coupling ξ 0 for which there is a renormalization group flow towards the conformal value as one runs the SM parameters up in the energy scale.…”

Section: Ncg Spectral Actionmentioning

confidence: 99%

Noncommutative Geometry Spectral Action as a Framework for Unification: Introduction and Phenomenological/Cosmological Consequences

Sakellariadou

2011

Int. J. Mod. Phys. D

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I will summarize Noncommutative Geometry Spectral Action, an elegant geometrical model valid at unification scale, which offers a purely gravitational explanation of the Standard Model, the most successful phenomenological model of particle physics. Noncommutative geometry states that close to the Planck energy scale, spacetime has a fine structure and proposes that it is given as the product of a four-dimensional continuum compact Riemaniann manifold by a tiny discrete finite noncommutative space. The spectral action principle, a universal action functional on spectral triples which depends only on the spectrum of the Dirac operator, applied to this almost commutative product geometry, leads to the full Standard Model, including neutrino mixing which has Majorana mass terms and a see-saw mechanism, minimally coupled to gravity. It also makes various predictions at unification scale. I will review some of the phenomenological and cosmological consequences of this beautiful and purely geometrical approach to unification.

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Asymptotic Conformal Invariance of SU(2) and Standard Models in Curved Space–Time

Abstract: The asymptotic conformal invariance of some SU(2) model and Standard Model in curved space-time are investigated. We have examined the conditions for asymptotic conformal invariance for these models numerically.

Cited by 17 publications

References 10 publications

R²-inflation with conformal SM Higgs field

R²-inflation with conformal SM Higgs field

Agravity

Noncommutative Geometry Spectral Action as a Framework for Unification: Introduction and Phenomenological/Cosmological Consequences

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Asymptotic Conformal Invariance of SU(2) and Standard Models in Curved Space–Time

Abstract: The asymptotic conformal invariance of some SU(2) model and Standard Model in curved space-time are investigated. We have examined the conditions for asymptotic conformal invariance for these models numerically.

Cited by 17 publications

References 10 publications

R2-inflation with conformal SM Higgs field

R2-inflation with conformal SM Higgs field

Agravity

Noncommutative Geometry Spectral Action as a Framework for Unification: Introduction and Phenomenological/Cosmological Consequences

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Product

Resources

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R²-inflation with conformal SM Higgs field

R²-inflation with conformal SM Higgs field