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Generalized symmetries (also known as categorical symmetries) is a newly developing technique for studying quantum field theories. It has given us new insights into the structure of QFT and many new powerful tools that can be applied to the…

High Energy Physics - Phenomenology · Physics 2023-06-06 T. Daniel Brennan , Sungwoo Hong

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 study whether it is possible to design a "classical" spatially flat bouncing cosmology or a static, spherically symmetric asymptotically flat Lorentzian wormhole in cubic Galileon theories interacting with an extra scalar field. We show…

High Energy Physics - Theory · Physics 2017-01-20 R. Kolevatov , S. Mironov

The discovery of cosmic acceleration has raised the intriguing possibility that we are witnessing the first breakdown of General Relativity on cosmological scales. In this article I will briefly review current attempts to construct a…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Mark Trodden

We construct a supersymmetric (1+1)-dimensional field theory involving extra derivatives and associated ghosts: the spectrum of the Hamiltonian is not bounded from below, neither from above. In spite of that, there is neither classical, nor…

High Energy Physics - Theory · Physics 2015-06-16 A. V. Smilga

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 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 discuss a formulation of Galileon actions in terms of matrix determinants in four dimensions. This approach allows one to straightforwardly determine derivative couplings between Galileons and scalar or vector degrees of freedom that…

High Energy Physics - Theory · Physics 2015-06-17 Gianmassimo Tasinato

A ghost-free metric formulation of the recently proposed covariant Galileon model \cite{RPgal} which retains the internal shift symmetry has been constructed. This presents a new result because the covariant Galileon models introduced so…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Rabin Banerjee , Sumanta Chakraborty , Arpita Mitra , Pradip Mukherjee

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 consider the impact of some known extensions of General Relativity in observables that will be available with the Galileo positioning systems, and draw conclusions as to the possibility of measuring them. We specifically address the…

General Relativity and Quantum Cosmology · Physics 2007-10-23 J. Paramos , O. Bertolami

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

One hundred years ago this year attempts began to generalise general relativity with the ambition of incorporating electromagnetism alongside gravitation in a unified field theory. These developments led to gauge theories and models with…

General Physics · Physics 2018-09-17 David J. Jackson

Theory known as Special Galileon has recently attracted considerable interest due to its peculiar properties. It has been shown that it represents an extremal member of the set of effective field theories with enhanced soft limit. This…

High Energy Physics - Theory · Physics 2017-03-29 Jiri Novotny

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

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

We use Lie-algebraic arguments to classify Lorentz-invariant theories of massless interacting scalars that feature coordinate-dependent redundant symmetries of the Galileon type. We show that such theories are determined, up to a set of…

High Energy Physics - Theory · Physics 2018-10-31 Mark P. Bogers , Tomas Brauner

The investigation of UV divergences is a relevant step in better understanding of a new theory. In this work the one-loop divergences in the free field sector are obtained for the popular Galileons model. The calculations are performed by…

High Energy Physics - Theory · Physics 2015-06-05 Tiberio de Paula Netto , Ilya L. Shapiro

Effective theories of a scalar $\phi$ invariant under the internal \textit{galileon symmetry} $\phi\to\phi+b_\mu x^\mu$ have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we…

High Energy Physics - Theory · Physics 2015-09-16 David Pirtskhalava , Luca Santoni , Enrico Trincherini , Filippo Vernizzi

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