Unitarity versus renormalizability of higher derivative gravity in 3D

Muneyuki, Kenji; Ohta, Nobuyoshi

doi:10.1103/physrevd.85.101501

Cited by 30 publications

(45 citation statements)

References 23 publications

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“…The equations of motion can be written in a simple form as zero "curvature" conditions. Since the structure of the theory in D-dimensions is basically the same of the D = 3 case, i.e., one second-order term plus a "Weyl" invariant 4th-order term, it is expected that a possible nonlinear completion of L Ω might suffer from the same renormalizability problems of the D = 3 case, see [24] and comments in [25,26], worsened by the higher dimensionality.…”

Section: Discussionmentioning

confidence: 99%

“…Thus, in arbitrary dimensions, a possible nonlinear completion of the "New Massive Gravity" L Ω may have renormalizability problems, see [24] for the 3D NMG case. Since part of the degrees of freedom of the Ω-field will not be present in the 4th-order terms, their UV behavior will be ruled by the 2nd-order mass term ∼ 1/p 2 which is a problem for renormalizability unless the nonlinear (self-interacting) terms are also Weyl invariant.…”

Section: Dmentioning

confidence: 99%

“…On the other hand, if we start with (24) and integrate over e µν in the path integral we derive the dual model:…”

Section: Higher Derivative Spin-1 Modelmentioning

confidence: 99%

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Note on linearized “new massive gravity” in arbitrary dimensions

Dalmazi

Santos

2013

Phys. Rev. D

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By means of a triple master action we deduce here a linearized version of the "New Massive Gravity" (NMG) in arbitrary dimensions. The theory contains a 4th-order and a 2nd-order term in derivatives. The 4th-order term is invariant under a generalized Weyl symmetry. The action is formulated in terms of a traceless η µν Ω µνρ = 0 mixed symmetry tensor Ω µνρ = −Ω µρν and corresponds to the massive Fierz-Pauli action with the replacement e µν = ∂ ρ Ω µνρ . The linearized 3D and 4D NMG theories are recovered via the invertible maps Ω µνρ = ǫ

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Section: Discussionmentioning

confidence: 99%

Section: Dmentioning

confidence: 99%

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Note on linearized “new massive gravity” in arbitrary dimensions

Dalmazi

Santos

2013

Phys. Rev. D

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“…But this action, which violates parity, exists only in the three dimensions and the renormalizability can not be generalized to four dimensions. Moreover, recently it has been clarified that the unitarity and renormalizaton are not compatible in threedimensional Lorentz-invariant higher-curvature gravities, which preserves parity, for general coefficients of the higher-curvature terms [17], including the new massive gravity case [18].…”

Section: The Rotating Black Hole In Three-dimensional Hořava Gravitymentioning

confidence: 99%

The rotating black hole in renormalizable quantum gravity: The three-dimensional Hořava gravity case

Park

2013

Physics Letters B

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Recently Hořava proposed a renormalizable quantum gravity, without the ghost problem, by abandoning Einstein's equal-footing treatment of space and time through the anisotropic scaling dimensions. Since then various interesting aspects, including the exact black hole solutions have been studied but no rotating black hole solutions have been found yet, except some limiting cases. In order to fill the gap, I consider a simpler three-dimensional set-up with z = 2 and obtain the exact rotating black hole solution. This solution has a ring curvature singularity inside the outer horizon, like the four-dimensional Kerr black hole in Einstein gravity, as well as a curvature singularity at the origin. The usual mass bound works also here but in a modified form. Moreover, it is shown that the conventional first law of thermodynamics with the usual Hawking temperature and chemical potential does not work, which seems to be the genuine effect of Lorentz-violating gravity due to lack of the absolute horizon.

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“…Solutions of TMG and NMG and further aspects can be found in Refs. [7][8][9][10][11][12][13][14][15][16][17][18][19] and references therein. TMG and NMG share common features; however, there are also different aspects: one of these is the existence in NMG of black holes known as new type black holes.…”

Section: Introductionmentioning

confidence: 99%

Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity

González¹,

Vásquez²,

Villalobos³

2017

Eur. Phys. J. C

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We study the propagation of massless fermionic fields in the background of a three-dimensional Lifshitz black hole, which is a solution of conformal gravity. The black-hole solution is characterized by a vanishing dynamical exponent. Then we compute analytically the quasinormal modes, the area spectrum, and the absorption cross section for fermionic fields. The analysis of the quasinormal modes shows that the fermionic perturbations are stable in this background. The area and entropy spectrum are evenly spaced. In the low frequency limit, it is observed that there is a range of values of the angular momentum of the mode that contributes to the absorption cross section, whereas it vanishes in the high frequency limit. In addition, by a suitable change of variables a gravitational soliton can also be obtained and the stability of the quasinormal modes are studied and ensured.

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Unitarity versus renormalizability of higher derivative gravity in 3D

Cited by 30 publications

References 23 publications

Note on linearized “new massive gravity” in arbitrary dimensions

Note on linearized “new massive gravity” in arbitrary dimensions

The rotating black hole in renormalizable quantum gravity: The three-dimensional Hořava gravity case

Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity

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