One-loop renormalization in a toy model of Hořava-Lifshitz gravity

Benedetti, Dario; Guarnieri, Filippo

doi:10.1007/jhep03(2014)078

Cited by 44 publications

(39 citation statements)

References 74 publications

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“…with a a (possibly time-dependent) constant, proving our earlier assertion of the appearance of the tertiary constraint (21) in the context of Hořava-Lifshitz gravity. Note that the same condition can be derived in the case of noncompact spatial boundary conditions, but there a ¼ 0 is forced upon us by the requirement of asymptotic flatness, the special case already shown to be equivalent to Einstein's theory [5].…”

Section: Hořava-lifshitz Gravitysupporting

confidence: 74%

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Role of the extra coupling in the kinetic term in Hořava-Lifshitz gravity

Loll

Pires

2014

Phys. Rev. D

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We analyze different claims on the role of the coupling constant λ in so-called λ-R models, a minimal generalization of general relativity inspired by Hořava-Lifshitz gravity. The dimensionless parameter λ appears in the kinetic term of the Einstein-Hilbert action, leading to a one-parameter family of classical theories. Performing a canonical constraint analysis for closed spatial hypersurfaces, we obtain a result analogous to that of Bellorín and Restuccia, who showed that all nonprojectable λ-R models are equivalent to general relativity in the asymptotically flat case. However, the tertiary constraint present for closed boundary conditions assumes a more general form. We juxtapose this with an earlier finding by Giulini and Kiefer, who ruled out a range of λ-R models by a physical, cosmological argument. We show that their analysis can be interpreted consistently within the projectable sector of Hořava-Lifshitz gravity, thus resolving the apparent contradiction.

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Section: Hořava-lifshitz Gravitysupporting

confidence: 74%

“…Since renormalization group computations have been initiated in the context of HLG [20,21], it will be interesting to see what flow is realized for λ and whether it is possible to recover some partially gauge-fixed version of the theory while avoiding the strong-coupling pitfalls that have been shown to occur when λ → 1 [22][23][24].…”

Section: Discussionmentioning

confidence: 99%

Role of the extra coupling in the kinetic term in Hořava-Lifshitz gravity

Loll

Pires

2014

Phys. Rev. D

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“…It is worth comparing our results to those of Ref. [12] where the gravitational degrees of freedom were truncated to the conformal mode. While the family of fixed points at λ → 1/2 is present also in the truncated model, the fixed point at λ = 15/14 exists only in the full theory.…”

Section: Calculation Of Diagrams -Although the Number Of Diagrams Inmentioning

confidence: 78%

“…Second, the ultraviolet structure of the theory, essential to establish its consistency, is not known beyond tree-level. Partial results include the study of renormalization group (RG) flow in a simplified model obtained from the projectable theory by a conformal reduction of the metric [12] and the calculation of the contributions of matter loops to the RG running of the couplings [13].…”

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confidence: 99%

Hořava Gravity is Asymptotically Free in 2+1 Dimensions

et al. 2017

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We compute the β functions of marginal couplings in projectable Hořava gravity in 2+1 spacetime dimensions. We show that the renormalization group flow has an asymptotically free fixed point in the ultraviolet (UV), establishing the theory as a UV-complete model with dynamical gravitational degrees of freedom. Therefore, this theory may serve as a toy model to study fundamental aspects of quantum gravity. Our results represent a step forward towards understanding the UV properties of realistic versions of Hořava gravity.

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“…Hořava-Lifshitz gravity [1] is a candidate for a perturbatively renormalizable theory of quantum gravity [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The main idea is to break the Lorentz symmetry in order to allow higher order spatial derivative terms in the potential which improve the quantum behaviour of the theory without the introduction of ghost fields [17].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic coupling of gravity and electromagnetism in Hořava-Lifshitz theory

2018

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We analyze the electromagnetic-gravity interaction in a pure Hořava-Lifshitz framework. To do so we formulate the Hořava-Lifshitz gravity in 4 + 1 dimensions and perform a Kaluza-Klein reduction to 3 + 1 dimensions. We use this reduction as a mathematical procedure to obtain the 3 + 1 coupled theory, which at the end is considered as a fundamental, self-consistent, theory. The critical value of the dimensionless coupling constant in the kinetic term of the action is λ = 1/4. It is the kinetic conformal point for the non-relativistic electromagnetic-gravity interaction. In distinction, the corresponding kinetic conformal value for pure Hořava-Lifshitz gravity in 3 + 1 dimensions is λ = 1/3. We analyze the geometrical structure of the critical and noncritical cases, they correspond to different theories. The physical degrees of freedom propagated by the noncritical theory are the transverse traceless graviton, the transverse gauge vector and two scalar fields. In the critical theory one of the scalars is absent, only the dilaton scalar field is present. The gravity and vector excitations propagate with the same speed, which at low energy can be taken to be the speed of light. The field equations for the gauge vector in the non-relativistic theory have exactly the same form as the relativistic electromagnetic field equations arising from the Kaluza-Klein reduction of General Relativity, and are equal to them for a particular value of one of the coupling constants. The potential in the Hamiltonian is a polynomial of finite degree in the gauge vector and its covariant derivatives. * Electronic address:

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One-loop renormalization in a toy model of Hořava-Lifshitz gravity

Cited by 44 publications

References 74 publications

Role of the extra coupling in the kinetic term in Hořava-Lifshitz gravity

Role of the extra coupling in the kinetic term in Hořava-Lifshitz gravity

Hořava Gravity is Asymptotically Free in 2+1 Dimensions

Anisotropic coupling of gravity and electromagnetism in Hořava-Lifshitz theory

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