DBI and the Galileon reunited

By Claudia de Rham, A. Tolley. 2010

282 citations recorded by the source corpus.

We derive the relativistic generalization of the Galileon, by studying the brane position modulus of a relativistic probe brane embedded in a five- dimensional bulk. In the appropriate Galilean contraction limit, we recover the complete Galileon generalization of the DGP decoupling theory and its conformal extension. All higher order interactions for the Galileon and its relativistic generalization naturally follow from the brane tension, induced curvature, and the Gibbons-Hawking-York boundary terms associated with all bulk Lovelock invariants. Our approach makes the coupling to gravity straightforward, in particular allowing a simple rederivation of the nonmini- mal couplings required by the Covariant Galileon. The connection with the Lovelock invariants makes the well-defined Cauchy problem manifest, and gives a natural unification of four dimensional effective field theories of the DBI type and the Galileon type.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0eca2ac535c2b52ddfd3fd5bf3b05a51deff7c86

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Citations in the corpus

Cosmology and Fundamental Physics with the Euclid Satellite (2012, methodology): “Related to the Vainshtein mechanism but slight more general is the screening via a disformal coupling between the scalar field and the stress-energy tensor ∂μπ∂νπT μν [696] as is present in DBI-braneworld types of models [401] and massive gravity [392].”
hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System (2016, background): “2 This general class of actions includes the vast majority of universally coupled models of dark energy with one scalar degree of freedom: quintessence [18, 19], Brans-Dicke models [20], k-essence [21, 22], kinetic gravity braiding [23–25], covariant galileons [15, 26], disformal and Dirac-Born-Infe”
Symmetries for Galileons and DBI scalars on curved space (2011, background): “These are the conformal DBI Galileons, first written down in [37].”
Galilean Genesis: An Alternative to inflation (2010, background): “An obvious choice is the 5D Poincaré group ISO(4,1) [3, 2, 20].”
The imperfect fluid behind kinetic gravity braiding (2011, background): “Nonetheless, these theories have been named galileon theories and a significant body of work has already been carried out analysing their impact not only on cosmological solutions [28–44], but also in other circumstances [45–52].”
Imperfect Dark Energy from Kinetic Gravity Braiding (2010, background): “[21, 22, 23] where the investigation of a consistent theory of massive gravity in the decoupling limit eventually leads to the same additional terms in the Lagrangian.”
Beyond the Cosmological Standard Model (2014, unknown): “The Horndeski theory involves 4 free functions (50)One unambiguous way to choose a set of non-minimal couplings which preserve second-order equations of motion (but still break the galileon symmetry) is through the brane construction of [484].”