Strong Interactions and Stability in the DGP Model

By M. Luty, M. Porrati, R. Rattazzi. 2003

625 citations recorded by the source corpus.

The model of Dvali, Gabadadze, and Porrati (DGP) gives a simple geometrical setup in which gravity becomes 5-dimensional at distances larger than a length scale lambda(DGP). We show that this theory has strong interactions at a length scale lambda(3) similar to (lambda(DGP)(2)/M-P)(1/3). If lambda(DGP) is of order the Hubble length, then the theory loses predictivity at distances shorter than lambda(3) similar to 1000 km. The strong interaction can be viewed as arising from a longitudinal 'eaten Goldstone' mode that gets a small kinetic term only from mixing with transverse graviton polarizations, analogous to the case of massive gravity. We also present a negative-energy classical solution, which can be avoided by cutting off the theory at the same scale scale lambda(3). Finally, we examine the dynamics of the longitudinal Goldstone mode when the background geometry is curved.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d6f4e00bb34119c76e0cd9c34a15ac402a4474e9

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Citations in the corpus

Cosmological tests of modified gravity (2015, background): “The non-linear interaction that appears in the DGP braneworld model has a very special property [53, 72].”
Degravitation of the cosmological constant and graviton width (2007, background): “From the perspective of the helicity-0 graviton the difference with massive gravity is that in DGP the equation for the helicity-0 mode is not higher-derivative [22, 23].”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “This is the essence of the non-renormalization theorem of the Galileon (see [98, 99, 42, 100, 101, 102, 103, 104] for more detail on the quantum corrections of the Galileon).”
Galileon Cosmology (2009, background): “As in massive gravity [18], the helicity-0 or longitudinal mode, denoted by π, becomes strongly coupled at a much lower scale than M5, given by [9, 19] Λstrong = ( MPlr −2 c )1/3 .”
The Stueckelberg Field (2003, methodology): “(Watanabe et al., 1967) applied the Stueckelberg formalism to the Rarita–Schwinger (spin 3/2) field, whereas (Arkani-Hamed et al., 2003; Delbourgo and Salam, 1975; Luty et al., 2003) did it for the graviton (spin 2) field.”
New positivity bounds from full crossing symmetry (2020, background): “Galileon theory is a scalar field theory with an enhanced shift symmetry π → π + c + bμx μ (c, bμ being constant and x μ being the spacetime coordinates) [43] that arises in the decoupling limit of massive gravity theories [44–46] (see [47] for a review).”
Gravitational wave decay into dark energy (2018, background): “on. (In particular this implies the stability of the condition that GWs travel luminally, at the 2-derivative level, c T = 1 [5].) This result is based on the non-renormalisation theorem of Galileons [39] and on the small breaking induced by gravity. The gravitational interactions present in the cov”
D‐branes in Standard Model building, gravity and cosmology (2003, background): “However, a new threshold scale appears where the linearized theory breaks down since the scalar graviton interactions become non-perturbative, [191, 192], although there is no consensus yet on the dependence of this scale on the four- and five-dimensional Planck scale.”
Cascading gravity and degravitation (2007, background): “The decoupling limit [16] of the codimension-two cascading theory offers yet another perspective on how the ghost is excised from the spectrum, as shown in section 7.”
Exploring gravitational theories beyond Horndeski (2014, background): “Such operators are protected by the symmetry (3) against quantum corrections [23, 24].”