Counterterms in dimensionally continued AdS gravity

Mišković, Olivera; Olea, Rodrigo

doi:10.1088/1126-6708/2007/10/028

Cited by 84 publications

(97 citation statements)

References 62 publications

(101 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similarly, boundary terms (Myers terms) for the Lovelock invariants must be added [26,27]. The prescription of [17] Our goal is to build upon this prescription and extend it to higher codimension.…”

Section: B Lovelock Terms and The Probe-brane Prescriptionmentioning

confidence: 99%

Multifield Galileons and higher codimension branes

2010

View full text Add to dashboard Cite

In the decoupling limit, the Dvali-Gabadadze-Porrati model reduces to the theory of a scalar field π, with interactions including a specific cubic self-interaction-the Galileon term. This term, and its quartic and quintic generalizations, can be thought of as arising from a probe 3-brane in a five-dimensional bulk with Lovelock terms on the brane and in the bulk.We study multifield generalizations of the Galileon and extend this probe-brane view to higher codimensions. We derive an extremely restrictive theory of multiple Galileon fields, interacting through a quartic term controlled by a single coupling, and trace its origin to the induced brane terms coming from Lovelock invariants in the higher codimension bulk. We explore some properties of this theory, finding de Sitter like self-accelerating solutions. These solutions have ghosts if and only if the flat space theory does not have ghosts. Finally, we prove a general nonrenormalization theorem: multifield Galileons are not renormalized quantum mechanically to any loop in perturbation theory. In the decoupling limit, the Dvali-Gabadadze-Porrati model reduces to the theory of a scalar field , with interactions including a specific cubic self-interaction-the Galileon term. This term, and its quartic and quintic generalizations, can be thought of as arising from a probe 3-brane in a five-dimensional bulk with Lovelock terms on the brane and in the bulk. We study multifield generalizations of the Galileon and extend this probe-brane view to higher codimensions. We derive an extremely restrictive theory of multiple Galileon fields, interacting through a quartic term controlled by a single coupling, and trace its origin to the induced brane terms coming from Lovelock invariants in the higher codimension bulk. We explore some properties of this theory, finding de Sitter like self-accelerating solutions. These solutions have ghosts if and only if the flat space theory does not have ghosts. Finally, we prove a general nonrenormalization theorem: multifield Galileons are not renormalized quantum mechanically to any loop in perturbation theory. Disciplines Physical Sciences and Mathematics | Physics

show abstract

Section: B Lovelock Terms and The Probe-brane Prescriptionmentioning

confidence: 99%

Multifield Galileons and higher codimension branes

2010

View full text Add to dashboard Cite

show abstract

“…[23,24] goes further, showing that one of the action functionals considered in the above mentioned work yields a well defined action principle in the metric (zero torsion) case and for asymptotically Anti de Sitter (AdS) space-times.…”

Section: Contentsmentioning

confidence: 84%

“…In section 7 we consider another possible action principle, which we call "Kounterterms action principle" [21][22][23][24], that can be understood as coming from a Transgression lagrangian with a dynamical field configuration and a non dynamical one (which we will call "Kounterterms vacuum"). In section 8 some known solutions are recast in the standard form of the coordinates used in section 5, and conserved charges are computed in the framework of the previous sections.…”

Section: Jhep11(2014)128mentioning

confidence: 99%

“…Those theories have been studied mostly in their metric/torsion-free formulation, but their natural setting is a first order formulation with independent vielbein and spin connection. Furthermore, it has been shown that the boundary terms coming from Transgressions are well suited to regularize those theories, both in the particular case of General Relativity [26,51] and in the generic case [24,52,53].…”

Section: Jhep11(2014)128mentioning

confidence: 99%

See 1 more Smart Citation

Action principles for Transgression and Chern-Simons AdS gravities

Mora

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

Chern-Simons gravities are theories with a lagrangian given by a Chern-Simons form constructed from a space-time gauge group. In previous investigations we showed that, for some special field configurations that are solutions of the field equations, the extension from Chern-Simons to Transgression forms as lagrangians, motivated by gauge invariance, automatically yields the boundary terms required to regularize the theory, giving finite conserved charges and black hole thermodynamics.Further work by other researchers showed that one of the action functionals considered in the above mentioned work yields a well defined action principle in the metric (zero torsion) case and for asymptotically Anti de Sitter (AdS) space-times.In the present work we consider several action functionals for Chern-Simons AdS gravity constructed from Transgression forms, and show the action principles to be well defined and the Noether charges and Euclidean action to be finite for field configurations satisfying only that the gauge field curvature (field strength) for the AdS gauge group is asymptotically finite.For that purpose we consider an asymptotic expansion of the vielbein and spin connection that may be regarded as a perturbation of an AdS space-time, but allowing a non zero torsion.Our results are of potential interest for Lovelock gravity theories, as it has been shown that the boundary terms dictated by the transgressions for Chern-Simons gravities are also suitable to regularize Lovelock theories.

show abstract

“…So, the authors in Refs. [44,45] presented an alternative construction of Kounterterms. Instead of adding counterterms to cancel the divergence at the boundary explained above, they circumvented the difficulties of the standard method by using Kounterterms which depend on the intrinsic and the extrinsic curvatures of the boundary.…”

Section: Introductionmentioning

confidence: 99%

Counterterms for static Lovelock solutions

2015

View full text Add to dashboard Cite

In this paper, we introduce the counterterms that remove the non-logarithmic divergences of the action in third order Lovelock gravity for static spacetimes. We do this by defining the cosmological constant in such a way that the asymptotic form of the metric have the same form in Lovelock and Einstein gravities. Thus, we employ the counterterms of Einstein gravity and show that the power law divergences of the action of Lovelock gravity for static spacetimes can be removed by suitable choice of coefficients. We find that the dependence of these coefficients on the dimension in Lovelock gravity is the same as in Einstein gravity. We also introduce the finite energy-momentum tensor and employ these counterterms to calculate the finite action and mass of static black hole solutions of third order Lovelock gravity. Next, we calculate the thermodynamic quantities and show that the entropy calculated through the use of Gibbs-Duhem relation is consistent with the obtained entropy by Wald's formula. Furthermore, we find that in contrast to Einstein gravity in which there exists no uncharged extreme black hole, third order Lovelock gravity can have these kind of black holes. Finally, we investigate the stability of static charged black holes of Lovelock gravity in canonical ensemble and find that small black holes show a phase transition between very small and small black holes, while the large ones are stable.

show abstract

Counterterms in dimensionally continued AdS gravity

Cited by 84 publications

References 62 publications

Multifield Galileons and higher codimension branes

Multifield Galileons and higher codimension branes

Action principles for Transgression and Chern-Simons AdS gravities

Counterterms for static Lovelock solutions

Contact Info

Product

Resources

About