Perturbative conformal symmetry and dilaton

Gretsch, Frédéric; Monin, Alexander

doi:10.1103/physrevd.92.045036

Cited by 56 publications

(74 citation statements)

References 10 publications

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“…(29). In fact, K µ 0 = 0 has been already shown by an explicit calculation [20], but in this paper we will give a simpler proof without much calculations.…”

Section: Why Is Noether Current Vanishing?mentioning

confidence: 99%

Fake conformal symmetry in unimodular gravity

Oda

2016

Phys. Rev. D

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We study Weyl symmetry (local conformal symmetry) in unimodular gravity. It is shown that the Noether currents for both Weyl symmetry and global scale symmetry, identically vanish as in the conformally invariant scalar-tensor gravity. We clearly explain why in the class of conformally invariant gravitational theories, the Noether currents vanish by starting with the conformally invariant scalar-tensor gravity. Moreover, we comment on both classical and quantum-mechanical equivalences among Einstein's general relativity, the conformally invariant scalar-tensor gravity and the Weyltransverse (WTDiff) gravity. Finally, we discuss the Weyl current in the conformally invariant scalar action and see that it is also vanishing.

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“…(29). In fact, K µ 0 = 0 has been already shown by an explicit calculation [20], but in this paper we will give a simpler proof without much calculations.…”

Section: Why Is Noether Current Vanishing?mentioning

confidence: 99%

Fake conformal symmetry in unimodular gravity

Oda

2016

Phys. Rev. D

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“…As we have argued, it stays scale invariant in the renormalized theory by substituting λ(µ) → λ(µv/ξ 1/d (x)). This model has been considered in recent works [15,[45][46][47], where its validity as a quantum conformal theory has been studied (see also the early related work [48]). We will later come back to this model for computing tree-level scattering amplitudes of the theory, and thus only its classical scale invariance is of importance to us.…”

Section: Jhep09(2017)001mentioning

confidence: 99%

Double-soft behavior of the dilaton of spontaneously broken conformal invariance

Vecchia

Marotta

Mojaza

2017

J. High Energ. Phys.

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The Ward identities involving the currents associated to the spontaneously broken scale and special conformal transformations are derived and used to determine, through linear order in the two soft-dilaton momenta, the double-soft behavior of scattering amplitudes involving two soft dilatons and any number of other particles. It turns out that the double-soft behavior is equivalent to performing two single-soft limits one after the other. We confirm the new double-soft theorem perturbatively at tree-level in a D-dimensional conformal field theory model, as well as nonperturbatively by using the "gravity dual" of N = 4 super Yang-Mills on the Coulomb branch; i.e. the Dirac-BornInfeld action on AdS 5 × S 5 .

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“…As shown in Refs. [31,32], it is possible to remove the divergencies in such a way that the scale symmetry (or the conformal symmetry, if gravity is not included) remains intact at all orders of perturbation theory. The bare Higgs mass is then protected from large radiative corrections and the dilatational anomaly is absent (see Ref.…”

Section: B Reliability Of the Computation Of Radiative Correctionsmentioning

confidence: 99%

“…Let assume the shape of the inflationary potential during the whole reheating can be well approximated by a quadratic potential 32 …”

Section: Appendix B: Combined Preheating Formalismmentioning

confidence: 99%

Living beyond the edge: Higgs inflation and vacuum metastability

2015

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The measurements of the Higgs mass and top Yukawa coupling indicate that we live in a very special universe, at the edge of the absolute stability of the electroweak vacuum. If fully stable, the Standard Model (SM) can be extended all the way up to the inflationary scale and the Higgs field, nonminimally coupled to gravity with strength ξ, can be responsible for inflation. We show that the successful Higgs inflation scenario can also take place if the SM vacuum is not absolutely stable. This conclusion is based on two effects that were overlooked previously. The first one is associated with the effective renormalization of the SM couplings at the energy scale M P =ξ, where M P is the Planck scale. The second one is a symmetry restoration after inflation due to high temperature effects that leads to the (temporary) disappearance of the vacuum at Planck values of the Higgs field.

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Perturbative conformal symmetry and dilaton

Cited by 56 publications

References 10 publications

Fake conformal symmetry in unimodular gravity

Fake conformal symmetry in unimodular gravity

Double-soft behavior of the dilaton of spontaneously broken conformal invariance

Living beyond the edge: Higgs inflation and vacuum metastability

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