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Galileon interactions represent a class of effective field theories that have received much attention since their inception. They can be treated in their own right as scalar field theories with a specific global shift and Galilean symmetry…

High Energy Physics - Theory · Physics 2014-10-10 Lavinia Heisenberg

We review different constructions of Galileon theories in both flat and curved space, and for both single scalar field models as well as multi-field models. Our main emphasis is on the formal mathematical properties of these theories and…

High Energy Physics - Theory · Physics 2015-06-16 Cedric Deffayet , Daniele A Steer

We explore field theories of a single p-form with equations of motions of order strictly equal to two and gauge invariance. We give a general method for the classification of such theories which are extensions to the p-forms of the Galileon…

High Energy Physics - Theory · Physics 2016-04-27 Cédric Deffayet , Shinji Mukohyama , Vishagan Sivanesan

We explore the possibility for generalized electromagnetism on flat spacetime. For a single copy of $U(1)$ gauge theory, we show that the Galileon-type generalization of electromagnetism is forbidden. Given that the equations of motion for…

High Energy Physics - Theory · Physics 2015-06-18 Cedric Deffayet , A. Emir Gumrukcuoglu , Shinji Mukohyama , Yi Wang

Galileon gravity offers a robust gravitational theory for explaining cosmic acceleration, having a rich phenomenology of testable behaviors. We explore three classes of Galileon models -- standard uncoupled, and linearly or derivatively…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Stephen A. Appleby , Eric V. Linder

We consider the recently introduced "galileon" field in a dynamical spacetime. When the galileon is assumed to be minimally coupled to the metric, we underline that both field equations of the galileon and the metric involve up to…

High Energy Physics - Theory · Physics 2009-10-07 C. Deffayet , G. Esposito-Farese , A. Vikman

We demonstrate how, for an arbitrary number of dimensions, the Galileon actions and their covariant generalizations can be obtained through a standard Kaluza-Klein compactification of higher-dimensional Lovelock gravity. In this setup, the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Karel Van Acoleyen , Jos Van Doorsselaere

We recently showed how it is possible to use a cubic Galileon action to construct classical cosmological solutions that enter a contracting null energy condition (NEC) violating phase, bounce at finite values of the scale factor and exit…

General Relativity and Quantum Cosmology · Physics 2020-11-19 Anna Ijjas , Paul J. Steinhardt

It has been pointed out that non-singular cosmological solutions in second-order scalar-tensor theories generically suffer from gradient instabilities. We extend this no-go result to second-order gravitational theories with an arbitrary…

High Energy Physics - Theory · Physics 2017-04-11 Shingo Akama , Tsutomu Kobayashi

Degenerate scalar-tensor theories are recently proposed covariant theories of gravity coupled with a scalar field. Despite being characterised by higher order equations of motion, they do not propagate more than three degrees of freedom,…

High Energy Physics - Theory · Physics 2017-03-08 Javier Chagoya , Gianmassimo Tasinato

Horndeski/Galileons may be considered as a proper generalization of General Relativity in high energy regime. Thus one may search for manifestation of Galileons interaction in collision experiments. In this paper we give arguments…

General Relativity and Quantum Cosmology · Physics 2016-10-18 B. N. Latosh

We derive the 1-loop effective action of the cubic Galileon coupled to quantum-gravitational fluctuations in a background and gauge-independent manner, employing the covariant framework of DeWitt and Vilkovisky. Although the bare action…

High Energy Physics - Theory · Physics 2017-05-24 Ippocratis D. Saltas , Vincenzo Vitagliano

The field theory Galilean symmetry, which was introduced in the context of modified gravity, gives a neat way to construct Lorentz-covariant theories of a scalar field, such that the equations of motion contain at most second-order…

High Energy Physics - Theory · Physics 2011-02-22 Antonio Padilla , Paul M. Saffin , Shuang-Yong Zhou

We construct four-dimensional effective field theories of a generalized DBI galileon field, the dynamics of which naturally take place on a Friedmann-Robertson-Walker spacetime. The theories are invariant under non-linear symmetry…

High Energy Physics - Theory · Physics 2011-12-07 Garrett Goon , Kurt Hinterbichler , Mark Trodden

We investigate a possible connection between Galileon gravity and teleparallel gravity. We also propose a new type of second order cosmological lagrangian and study a some of its properties.

General Relativity and Quantum Cosmology · Physics 2015-06-15 P. Tretyakov

We show that every Galileon theory admits a dual formulation as a Galileon theory with new operator coefficients. In n dimensions a free scalar field in Minkowski spacetime is dual to a (n+1)-th order Galileon theory which exhibits the…

High Energy Physics - Theory · Physics 2014-05-07 Claudia de Rham , Matteo Fasiello , Andrew J. Tolley

Galileon theories are of considerable interest since they allow for stable violations of the null energy condition. Since such violations could have occurred during a high-energy regime in the history of our universe, we are motivated to…

High Energy Physics - Theory · Physics 2015-05-27 Justin Khoury , Jean-Luc Lehners , Burt A. Ovrut

This paper is aimed at a (mostly) pedagogical exposition of the derivation of the motion equations of certain modifications of general relativity. Here we derive in all detail the motion equations in the Brans-Dicke theory with the cubic…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Israel Quiros , Ricardo García-Salcedo , Tame Gonzalez , F. Antonio Horta-Rangel , Joel Saavedra

The Galileon scalar field theory is a prototypical example of an effective field theory that exhibits the Vainshtein screening mechanism, which is incorporated into many extensions to Einstein gravity. The Galileon describes the helicity…

High Energy Physics - Theory · Physics 2022-08-31 Mary Gerhardinger , John T. Giblin , Andrew J. Tolley , Mark Trodden

Galileon models arise in certain braneworld scenarios as modifications to General Relativity, and are also interesting as field theories in their own right. We show how the galileon model can be naturally generalized to include local gauge…

High Energy Physics - Theory · Physics 2012-03-05 Shuang-Yong Zhou , Edmund J. Copeland