Renormalization of higher derivative quantum gravity coupled to a scalar with shift symmetry

Muneyuki, Kenji; Ohta, Nobuyoshi

doi:10.1016/j.physletb.2013.07.054

Cited by 7 publications

(3 citation statements)

References 27 publications

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“…For D = 3, (3.1) reduces to the case of new massive gravity [47] (studied using the methods here in [30]), which was argued to be non-renormalizable in [48]. Quadratic gravity for D > 4 has also been argued to be non-renormalizable [49]. 4 The galileon has a well-known global symmetry π → π + c + b µ x µ , for constants c, b µ where x µ is the spacetime coordinate, stemming from the fact that π always appears with two derivatives in (3.3).…”

Section: Decoupling Limitmentioning

confidence: 92%

Stückelberg approach to quadratic curvature gravity and its decoupling limits

Hinterbichler

Saravani

2016

Phys. Rev. D

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Curvature squared terms, when added to the Einstein-Hilbert action and treated non-perturbatively, generically result in the propagation of an extra massive scalar state and an extra massive spin-2 ghost state. Using the Stückelberg trick, we study the high-energy limit in which the mass of the spin-2 state is taken to zero, with strongcoupling scales held fixed. The Stückelberg approach makes transparent the interplay between the ghost graviton and the healthy graviton which allows the theory to evade the usual Λ 3 strong coupling scale of massive gravity and become renormalizable, at the expense of stability.

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Section: Decoupling Limitmentioning

confidence: 92%

Stückelberg approach to quadratic curvature gravity and its decoupling limits

Hinterbichler

Saravani

2016

Phys. Rev. D

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“…Perturbative renormalizability and the asymptotically free property have subsequently been studied [12,13,14]. R 2 gravity with matter has been studied by a power-counting argument [15]. The same question for the matter Lagrangian due to graviton one-loops has recently been studied [16,17,18].…”

Section: Summary Of the Matter Sector Coupled To Einstein Gravitymentioning

confidence: 99%

Matter scattering in $R_{μν}^2$ gravity and unitarity

Abe,

Inami,

Izumi

et al. 2017

Preprint

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We investigate the ultraviolet (UV) behavior of two-scalar elastic scattering with graviton exchanges in higher-curvature gravity theory. In Einstein gravity, matter scattering is shown not to satisfy the unitarity bound at tree level at high energy. Among some of the possible directions for the UV completion of Einstein gravity, such as string theory, modied gravity, and inclusion of high-mass/high-spin states, we take R 2 µν gravity coupled to matter. We show that matter scattering with graviton interactions satises the unitarity bound at high energy, even with negative norm states due to the higher-order derivatives of metric components. The difference in the unitarity property of these two gravity theories is probably connected to that in another UV property, namely, the renormalizability property of the two.

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“…We argued that a decent classical field theory for scalars, vectors, and spinors in flat spacetime can be constructed, and that gravity can be included under the form of a covariant Galileon theory instead of general relativity. This mechanism of emergent Lorentz signature may also serve as a new way to circumvent the issue of non-unitarity in some higher-derivative quantum gravity theories [15,16].…”

Section: Introductionmentioning

confidence: 99%

Emergent Lorentz signature, fermions, and the standard model

2014

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This article investigates the construction of fermions and the formulation of the Standard Model of particle physics in a theory in which the Lorentz signature emerges from an underlying microscopic purely Euclidean SO(4) theory. Couplings to a clock field are responsible for triggering the change of signature of the effective metric in which the standard fields propagate. We demonstrate that Weyl and Majorana fermions can be constructed in this framework. This construction differs from other studies of Euclidean fermions, as the coupling to the clock field allows us to write down an action which flows to the usual action in Minkowski spacetime. We then show how the Standard Model can be obtained in this theory and consider the constraints on non-Standard Model operators which can appear in the QED sector due to CPT and Lorentz violation.

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Renormalization of higher derivative quantum gravity coupled to a scalar with shift symmetry

Abstract: It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4 dimensions.

Cited by 7 publications

References 27 publications

Stückelberg approach to quadratic curvature gravity and its decoupling limits

Stückelberg approach to quadratic curvature gravity and its decoupling limits

Matter scattering in $R_{μν}^2$ gravity and unitarity

Emergent Lorentz signature, fermions, and the standard model

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