Conformal anomaly for non-conformal scalar fields

Casarin, Lorenzo; Godazgar, Hadi; Nicolai, Hermann

doi:10.1016/j.physletb.2018.10.034

Cited by 14 publications

(15 citation statements)

References 28 publications

(54 reference statements)

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“…4 The Gaussian path integral has been performed assuming a flat spacetime metric. If the fluctuations around the flat metric are taken into account, a term ∝ √ −g Rµν R µν − R µναβ R µναβ as well as an additional term ∝ √ −g R 2 will be generated at one-loop order [75,76]. They can be absorbed into redefinitions of κ and γ in Eq.…”

Section: Dynamical Origin Of the Planck Massmentioning

confidence: 99%

Planck mass and inflation as consequences of dynamically broken scale invariance

et al. 2019

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Classical scale invariance represents a promising framework for model building beyond the Standard Model. However, once coupled to gravity, any scale-invariant microscopic model requires an explanation for the origin of the Planck mass. In this paper, we provide a minimal example for such a mechanism and show how the Planck mass can be dynamically generated in a strongly coupled gauge sector. We consider the case of hidden SU (Nc) gauge interactions that link the Planck mass to the condensation of a scalar bilinear operator that is nonminimally coupled to curvature. The effective theory at energies below the Planck mass contains two scalar fields: the pseudo-Nambu-Goldstone boson of spontaneously broken scale invariance (the dilaton) and a gravitational scalar degree of freedom that originates from the R 2 term in the effective action (the scalaron). We compute the effective potential for the coupled dilaton-scalaron system at one-loop order and demonstrate that it can be used to successfully realize a stage of slow-roll inflation in the early Universe. Remarkably enough, our predictions for the primordial scalar and tensor power spectra interpolate between those of standard R 2 inflation and linear chaotic inflation. For comparatively small gravitational couplings, we thus obtain a spectral index ns 0.97 and a tensor-to-scalar ratio as large as r 0.08. Contents

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Section: Dynamical Origin Of the Planck Massmentioning

confidence: 99%

Planck mass and inflation as consequences of dynamically broken scale invariance

et al. 2019

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“…There are relations of this work to several other strands of research and various natural 11 For a recent discussion of the scale anomaly for theories that are not classically scale invariant see [30].…”

mentioning

confidence: 96%

Trace anomaly and infrared cutoffs

Morris

Percacci

2019

Phys. Rev. D

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The Effective Average Action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realisation of the renormalization group.

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“…Lastly, we want to compare our computation of the anomalous trace with the definition of Godazgar and Nicolai [49,59]. They postulate that the trace anomaly is given in general by…”

Section: The Anomaly Definition Of Godazgar and Nicolaimentioning

confidence: 99%

Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ*

Abdallah

Franchino-Viñas

Fröb

2021

J. High Energ. Phys.

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We revisit the computation of the trace anomaly for Weyl fermions using dimensional regularization. For a consistent treatment of the chiral gamma matrix γ* in dimensional regularization, we work in n dimensions from the very beginning and use the Breitenlohner-Maison scheme to define γ*. We show that the parity-odd contribution to the trace anomaly vanishes (for which the use of dimension-dependent identities is crucial), and that the parity-even contribution is half the one of a Dirac fermion. To arrive at this result, we compute the full renormalized expectation value of the fermion stress tensor to second order in perturbations around Minkowski spacetime, and also show that it is conserved.

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Conformal anomaly for non-conformal scalar fields

Cited by 14 publications

References 28 publications

Planck mass and inflation as consequences of dynamically broken scale invariance

Planck mass and inflation as consequences of dynamically broken scale invariance

Trace anomaly and infrared cutoffs

Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ*

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