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Galileon models are a class of effective field theories that have recently received much attention. They arise in the decoupling limit of theories of massive gravity, and in some cases they have been treated in their own right as scalar…

High Energy Physics - Theory · Physics 2015-06-03 Clare Burrage , Claudia de Rham , Lavinia Heisenberg , Andrew J. Tolley

We provide a complete classification of all abelian gauge invariant $p$-form theories with equations of motion depending only on the second derivative of the field---the $p$-form analogues of the Galileon scalar field theory. We construct…

High Energy Physics - Theory · Physics 2017-09-06 Cédric Deffayet , Sebastian Garcia-Saenz , Shinji Mukohyama , Vishagan Sivanesan

Galileons are scalar field theories which obey the Galileon symmetry $\varphi \to \varphi + b + c_\mu x^\mu$ and are capable of self-acceleration if they have an inverted sign for the kinetic term. These theories violate the Strong…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

We review the construction of Galileon interactions involving a single two-column mixed-symmetry tensor of arbitrary degree in flat spacetime of arbitrary dimensions, in a reverse engineering spirit. By defining an appropriate Riemann-like…

High Energy Physics - Theory · Physics 2021-01-12 Georgios Karagiannis

We consider an Abelian gauge field coupled to a particular truncation of Horndeski theory. The Galileon field has translation symmetry and couples non minimally both to the metric and the gauge field. When the gauge-scalar coupling is zero…

General Relativity and Quantum Cosmology · Physics 2015-07-20 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the…

High Energy Physics - Theory · Physics 2019-08-02 Lavinia Heisenberg

We suggest that galileon theories should have an additional self-coupling of the fields to the trace of their own energy-momentum tensor. We explore the classical features of one such model, in flat 4D spacetime, with emphasis on solutions…

High Energy Physics - Theory · Physics 2015-06-05 Thomas L. Curtright , David B. Fairlie

We study the Galileon scalar field model arising as a decoupling limit of the Dvali-Gababdaze-Porrati (DGP) construction for the late time acceleration of the universe. The model has one extra Galileon correction term over and above the…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-11 Md. Wali Hossain , Anjan A. Sen

We extend to curved backgrounds all flat-space scalar field models that obey purely second-order equations, while maintaining their second-order dependence on both field and metric. This extension simultaneously restores to second order…

General Relativity and Quantum Cosmology · Physics 2009-10-07 C. Deffayet , S. Deser , G. Esposito-Farese

The class of Galileon scalar fields theories encapsulate the Vainshtein screening mechanism which is characteristic of a large range of infrared modified theories of gravity. Such theories can lead to testable departures from General…

High Energy Physics - Theory · Physics 2024-02-09 Claudia de Rham , John T. Giblin , Andrew J. Tolley

Explicit formulae of the equations in the generalized Galileon models are given. We also develop the formulation of the reconstruction. By using the formulation, we can explicitly construct an action which reproduces an arbitrary…

High Energy Physics - Theory · Physics 2015-06-04 Norihito Shirai , Kazuharu Bamba , Shota Kumekawa , Jiro Matsumoto , Shin'ichi Nojiri

We consider small perturbations about homogeneous backgrounds in dilatationally-invariant Galileon models. The issues we address are stability (absence of ghosts and gradient instabilities) and superluminality. We show that in Minkowski…

High Energy Physics - Theory · Physics 2016-03-28 Roman Kolevatov

We review the different frameworks in which Galileon scalar fields have been seen to emerge such an in DGP, New Massive Gravity and Ghost-free massive Gravity and emphasize their relation with the Lovelock invariant in braneworld models.…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-20 Claudia de Rham

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

A paradigm shift of the fracton physics research is established by providing a covariant formulation of the action. For the first time, fracton gauge symmetries are connected with the global symmetries of the free dynamics. A Galileon…

General Physics · Physics 2022-03-01 Sk. Moinuddin , Pradip Mukherjee

Generalizing a previous work concerning cosmological linear tensor perturbations, we show that the lagrangians and hamiltonians of cosmological linear scalar and vector perturbations can be put in simple form through the implementation of…

High Energy Physics - Theory · Physics 2008-11-26 Emanuel J. C. Pinho , Nelson Pinto-Neto

Adopting an intrinsic Carrollian viewpoint, we show that the generic Carrollian scalar field action is a combination of electric and magnetic actions, found in the literature by taking the Carrollian limit of the relativistic scalar field.…

High Energy Physics - Theory · Physics 2023-11-21 Luca Ciambelli

Scalar field theories with derivative interactions are known to possess solitonic excitations, but such solitons are generally unsatisfactory because the effective theory fails precisely where nonlinearities responsible for the solitons are…

High Energy Physics - Theory · Physics 2011-05-23 Solomon Endlich , Kurt Hinterbichler , Lam Hui , Alberto Nicolis , Junpu Wang

Gauge theories can be described by assigning a vector space V(x) to each space time point x. A common set of complex numbers, C, is usually assumed to be the set of scalars for all the V{x}. This is expanded here to assign a separate set of…

Mathematical Physics · Physics 2011-07-11 Paul Benioff

A shift-symmetric Galileon model in presence of spacetime torsion has been constructed for the first time. This has been realized by localizing (or, gauging) the Galileon symmetry in flat spacetime in an appropriate manner. We have applied…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Rabin Banerjee , Sumanta Chakraborty , Pradip Mukherjee