Multifield Galileons and higher codimension branes

By Kurt Hinterbichler, M. Trodden, Daniel H. Wesley. 2010

169 citations recorded by the source corpus.

In the decoupling limit, the Dvali-Gabadadze-Porrati model reduces to the theory of a scalar field $\ensuremath{\pi}$, with interactions including a specific cubic self-interaction---the Galileon term. This term, and its quartic and quintic generalizations, can be thought of as arising from a probe 3-brane in a five-dimensional bulk with Lovelock terms on the brane and in the bulk. We study multifield generalizations of the Galileon and extend this probe-brane view to higher codimensions. We derive an extremely restrictive theory of multiple Galileon fields, interacting through a quartic term controlled by a single coupling, and trace its origin to the induced brane terms coming from Lovelock invariants in the higher codimension bulk. We explore some properties of this theory, finding de Sitter like self-accelerating solutions. These solutions have ghosts if and only if the flat space theory does not have ghosts. Finally, we prove a general nonrenormalization theorem: multifield Galileons are not renormalized quantum mechanically to any loop in perturbation theory.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/48977e316863f0440045162873e0f1ea0dffd6e4

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Citations in the corpus

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).”
Cosmological tests of modified gravity (2015, background): “Although quantum corrections are not under control above Λ3, the galileon terms themselves do not get renormalised upon loop corrections so that their classical values can be trusted quantum mechanically [193].”