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Related papers: Galileon Duality

200 papers

We present a novel, manifestly Lorentz-invariant, polynomial, and straightforwardly quantisable action for duality-symmetric gauge theories formulated using gauge potentials. Central to our construction is the identification of a harmonic…

High Energy Physics - Theory · Physics 2025-12-01 Subhroneel Chakrabarti , Arkajyoti Manna , Madhusudhan Raman

We prove that a scalar quantum field theory defined on noncommutative Minkowski spacetime with noncommuting momentum coordinates is covariant with respect to the UV/IR duality which exchanges coordinates and momenta. The proof is based on…

High Energy Physics - Theory · Physics 2009-02-18 Andre Fischer , Richard J. Szabo

We construct a duality between several simple physical systems by showing that they are different aspects of the same quantum theory. Examples include the free relativistic massless particle and the hydrogen atom in any number of…

High Energy Physics - Theory · Physics 2016-08-25 I. Bars , C. Deliduman , O. Andreev

The double copy procedure relates gauge and gravity theories through color-kinematics replacements and holds for both scattering amplitudes and in classical contexts. Moreover, it has been shown that there is a web of theories whose…

High Energy Physics - Theory · Physics 2018-12-05 Mariana Carrillo-Gonzalez , Riccardo Penco , Mark Trodden

A Poincar\`{e} invariant, local scalar field theory in which the Lagrangian and the equation of motion contain only up to second-order derivatives of the fields is called generalized Galileon. The covariant version of it in four dimensions…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Katsuki Aoki , Yusuke Manita , Shinji Mukohyama

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

Could a conformal Galileon be describing a gauge mode of a broader diffeomorphism invariant theory? We answer this question affirmatively in 3D by using a coset construction for a nonlinearly realized conformal symmetry. In particular, we…

High Energy Physics - Theory · Physics 2019-05-31 Gregory Gabadadze , Giorgi Tukhashvili

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

We study the cosmology of a galileon scalar-tensor theory, obtained by covariantizing the decoupling lagrangian of the Dvali-Gabadadze-Poratti (DGP) model. Despite being local in 3+1 dimensions, the resulting cosmological evolution is…

High Energy Physics - Theory · Physics 2009-08-13 Nathan Chow , Justin Khoury

We consider the Cartan subalgebra of any very extended algebra G+++ where G is a simple Lie algebra and let the parameters be space-time fields. These are identified with diagonal metrics and dilatons. Using the properties of the algebra,…

High Energy Physics - Theory · Physics 2010-02-03 F. Englert , L. Houart , A. Taormina , P. West

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

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

In this paper we show that the flat space Galilean theories with up to three scalars in the equation of motion (the quartic Galileons) are recovered in the decoupling limit of certain scalar theories non-minimally coupled to gravity, the…

High Energy Physics - Theory · Physics 2013-05-30 Cristiano Germani

The Galileon theory is a prototypical effective field theory that incorporates the Vainshtein screening mechanism--a feature that arises in some extensions of General Relativity, such as massive gravity. The Vainshtein effect requires that…

High Energy Physics - Theory · Physics 2024-02-09 Mary Gerhardinger , John T. Giblin , Andrew J. Tolley , Mark Trodden

We introduce bi-galileon theory, the generalisation of the single galileon model introduced by Nicolis et al. The theory contains two coupled scalar fields and is described by a Lagrangian that is invariant under Galilean shifts in those…

High Energy Physics - Theory · Physics 2011-01-26 Antonio Padilla , Paul M. Saffin , Shuang-Yong Zhou

We further develop the framework for coupling galileons and Dirac-Born-Infeld (DBI) scalar fields to a massive graviton while retaining both the non-linear symmetries of the scalars and ghost-freedom of the theory. The general construction…

High Energy Physics - Theory · Physics 2014-08-06 Garrett Goon , A. Emir Gumrukcuoglu , Kurt Hinterbichler , Shinji Mukohyama , Mark Trodden

We constrain effective field theories by going beyond the familiar positivity bounds that follow from unitarity, analyticity, and crossing symmetry of the scattering amplitudes. As interesting examples, we discuss the implications of the…

High Energy Physics - Theory · Physics 2018-04-25 Brando Bellazzini , Francesco Riva , Javi Serra , Francesco Sgarlata

We present an Sp(2n,R) duality invariant Born-Infeld U(1)^2n gauge theory with scalar fields. To implement this duality we had to introduce complex gauge fields and as a result the rank of the duality group is only half as large as that of…

High Energy Physics - Theory · Physics 2016-11-23 Daniel Brace , Bogdan Morariu , Bruno Zumino

We analyse the speed of gravitational waves in coupled Galileon models with an equation of state $\omega_\phi=-1$ now and a ghost-free Minkowski limit. We find that the gravitational waves propagate much faster than the speed of light…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Philippe Brax , Clare Burrage , Anne-Christine Davis

A generic second-order scalar-tensor theory contains a nonlinear derivative self-interaction of the scalar degree of freedom $\phi$ \`{a} la Galileon models, which allows for the Vainshtein screening mechanism. We investigate this effect on…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-20 Rampei Kimura , Tsutomu Kobayashi , Kazuhiro Yamamoto