Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-03-30
JCAP 1005:015,2010
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, minor clarifications
Scientific paper
10.1088/1475-7516/2010/05/015
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.
Rham Claudia de
Tolley Andrew J.
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