de Sitter gauge theories and induced gravities

Sobreiro, R. F.; Tomaz, A. A.; Otoya, V. J. Vasquez

doi:10.1140/epjc/s10052-012-1991-4

Cited by 17 publications

(58 citation statements)

References 43 publications

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“…The Euclidean version of such a theory would involve the symmetry O(4) and would be confined. This involves six field strengths, F [12] F [12] , F [13] F [13] , F [23] F [23] carry the same sign. The Lorentzian symmetry then forces the vacuum expectation value of the trace anomaly to vanish.…”

Section: More General Resultsmentioning

confidence: 99%

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Gauge assisted quadratic gravity: A framework for UV complete quantum gravity

Donoghue

Menezes

2018

Phys. Rev. D

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We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is used to induce the usual Einstein-Hilbert term, which was taken to be small or absent in the original action. We study the spin-two propagator in detail, with a focus on the high mass resonance which is shifted off the real axis by the coupling to real decay channels. We calculate scattering in the J ¼ 2 partial wave and show explicitly that unitarity is satisfied. The theory will in general have a large cosmological constant and we study possible solutions to this, including a unimodular version of the theory. Overall, the theory satisfies our present tests for being a ultraviolet completion of quantum gravity.

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Section: More General Resultsmentioning

confidence: 99%

“…Overall, the theory satisfies our present tests for being a ultraviolet completion of quantum gravity. * Electronic address: donoghue@physics.umass.edu † Electronic address: gsantosmenez@umass.edu 1 For the much larger body of older research please see the references within [1][2][3][4][5][6][7][8][9][10][11][12][13]. arXiv:1804.04980v1 [hep-th]…”

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confidence: 99%

Gauge assisted quadratic gravity: A framework for UV complete quantum gravity

Donoghue

Menezes

2018

Phys. Rev. D

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“…In [16], a map between a gauge theory over a Euclidean spacetime and a geometrodynamics gravity theory was proposed in four dimensions. However, an Inönü-Wigner contraction and symmetry breaking were required.…”

Section: Principal Bundles Gauge Theories and Gravitymentioning

confidence: 99%

Constrained gauge-gravity duality in three and four dimensions

Assimos

Sobreiro

2020

Eur. Phys. J. C

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The equivalence between Chern-Simons and Einstein-Hilbert actions in three dimensions established by A. Achúcarro and P. K. Townsend (1986) and E. Witten (1988) is generalized to the off-shell case. The technique is also generalized to the Yang-Mills action in four dimensions displaying de Sitter gauge symmetry. It is shown that, in both cases, we can directly identify a gravity action while the gauge symmetry can generate spacetime local isometries as well as diffeomorphisms. The price we pay for working in an off-shell scenario is that specific geometric constraints are needed. These constraints can be identified with foliations of spacetime. The special case of spacelike leafs evolving in time is studied. Finally, the whole set up is analyzed under fiber bundle theory. In this analysis we show that a traditional gauge theory, where the gauge field does not influence in spacetime dynamics, can be (for specific cases) consistently mapped into a gravity theory in the first order formalism.

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“…This is discussed already in [9]. However, this problem relies at quantum level and is not relevant for effective theories of gravity such as [18][19][20][21] where the gravity action we consider in the present work is derived as an effective theory from a Yang-Mills theory with SO(5) gauge symmetry. It may also be mentioned that, even in the metric formulation, there are special cases of higher derivative gravities where the problem of non-unitarity can be avoided, see for instance [23,24].…”

Section: Introductionmentioning

confidence: 99%

“…Such discover brings a new era on black hole physics as well as the possibility to test alternative solutions derived of modified theories of gravity that should expand the horizons of the well-known Einstein's gravitational theory. From the point of view of the gravity model in [18], this is a motivation for a long term work on the possibility of implementing new tests to such induced gravity. Moreover, the relevance of the results of the present work may also be useful beyond gravity itself and can be applied to analogue models.…”

Section: Introductionmentioning

confidence: 99%

Static and spherically symmetric solutions in a scenario with quadratic curvature contribution

2018

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In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein-Cartan formalism. The main goal consists in analyzing the behaviour of the solutions under the influence of a quadratic curvature term in the presence of cosmological constant and no torsion. In the first incursion we found an exact de Sitter-like solution. This solution is obtained by imposing vanishing torsion in the field equations. On the other hand, by imposing vanishing torsion directly in the action, we are able to find a perturbative solution around the Schwarzschild-de Sitter usual solution. We briefly discuss classical singularities for each solution and the event and cosmological horizons. A primer discussion on the thermodynamics of the geometrical solutions is also addressed.

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de Sitter gauge theories and induced gravities

Cited by 17 publications

References 43 publications

Gauge assisted quadratic gravity: A framework for UV complete quantum gravity

Gauge assisted quadratic gravity: A framework for UV complete quantum gravity

Constrained gauge-gravity duality in three and four dimensions

Static and spherically symmetric solutions in a scenario with quadratic curvature contribution

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