From SL(5, ℝ) Yang–Mills theory to induced gravity

Assimos, Thiago S.; Pereira, Antônio D.; Santos, Thiago C. dos; Sobreiro, R. F.; Tomaz, A. A.; Otoya, V. J. Vasquez

doi:10.1142/s0218271817500870

Cited by 7 publications

(17 citation statements)

References 60 publications

(199 reference statements)

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“…The result is that the original spacetime is deformed into an effective manifold. For the general idea, see for instance [8][9][10][11][12][13][14][15][16][17][18]. Formally, this mechanism can be understood as a bundle map [19][20][21][22] between a gauge principal bundle and a coframe bundle (See Sec.…”

Section: Introductionmentioning

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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Section: Introductionmentioning

confidence: 99%

Constrained gauge-gravity duality in three and four dimensions

Assimos

Sobreiro

2020

Eur. Phys. J. C

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“…The connection of the action (9) with a gravity theory is attained from the analysis of running of the ratio γ 2 /κ 2 . It has been shown in [26] that this ratio vanishes at an energy scale near Planck energy. Hence, from (8), it is clear that an Inönü-Wigner contraction takes place, i.e.…”

Section: Induced Gravity From a Yang-mills Theorymentioning

confidence: 92%

“…The BRST symmetry breaking, the Gribov parameter and the asymptotic freedom are the crucial effects that lead the action (6) to a gravity one. For details, see [25,26].…”

Section: Induced Gravity From a Yang-mills Theorymentioning

confidence: 99%

“…It is worth emphasizing that, in this theory, Newton's constant and the cosmological constant are coupled via (11). One-loop semi-perturbative estimations [26] predict an exact agreement for Newton's constant but an extremely large value for Λ. This prediction seems to fail when compared with the observed cosmological constant (which we callΛ) [65,66].…”

Section: Induced Gravity From a Yang-mills Theorymentioning

confidence: 99%

“…In the wide range of emergent gravities, there are several articles about gauge theories which employ a physical mechanisms to "free" the geometrical degrees of freedom, see for instance [18,19,20,21,22,23,24,25,26]. As a general aspect, the gravities which are generated in this way are described in first order variables [27,28,29].…”

Section: Introductionmentioning

confidence: 99%

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Cosmology from a gauge induced gravity

Falciano¹,

Sadovski²,

Sobreiro³

et al. 2017

Gen Relativ Gravit

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The main goal of the present work is to analyze the cosmological scenario of the induced gravity theory developed in previous works. Such a theory consists on a Yang-Mills theory in a four-dimensional Euclidian spacetime with $SO(m,n)$ such that $m+n=5$ and $m\in\{0,1,2\}$ as its gauge group. This theory undergoes a dynamical gauge symmetry breaking via an In\"on\"u-Wigner contraction in its infrared sector. As a consequence, the $SO(m,n)$ algebra is deformed into a Lorentz algebra with the emergency of the local Lorentz symmetries and the gauge fields being identified with a vierbein and a spin connection. As a result, gravity is described as an effective Einstein-Cartan-like theory with ultraviolet correction terms and a propagating torsion field. We show that the cosmological model associated with this effective theory has three different regimes. In particular, the high curvature regime presents a de Sitter phase which tends towards a $\Lambda$CDM model. We argue that $SO(m,n)$ induced gravities are promising effective theories to describe the early phase of the universe.Comment: 22 pages, 3 figure

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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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From SL(5, ℝ) Yang–Mills theory to induced gravity

Cited by 7 publications

References 60 publications

Constrained gauge-gravity duality in three and four dimensions

Constrained gauge-gravity duality in three and four dimensions

Cosmology from a gauge induced gravity

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

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