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A Galileon field is one which obeys a spacetime generalization of the non-relativistic Galilean invariance. Such a field may possess non-canonical kinetic terms, but ghost-free theories with a well-defined Cauchy problem exist, constructed…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Clare Burrage , David Seery

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 study the cosmology of a generalized Galileon field $\phi$ with five covariant Lagrangians in which $\phi$ is replaced by general scalar functions $f_{i}(\phi)$ (i=1,...,5). For these theories, the equations of motion remain at…

High Energy Physics - Theory · Physics 2015-05-19 Antonio De Felice , Shinji Tsujikawa

We investigate the stability of a class of derivative theories known as $P(X)$ and Galileons against corrections generated by quantum effects. We use an exact renormalisation group approach to argue that these theories are stable under…

High Energy Physics - Theory · Physics 2014-11-12 Claudia de Rham , Raquel H. Ribeiro

In non-supersymmetric covariant quantum gravity theory, for each system of gravity coupled with single field is one-loop divergent. Since adding other fields or other interactions to each system generates more possible counter-Lagrangian…

High Energy Physics - Theory · Physics 2017-12-12 Hyun Ju Go

New developments on the symmetries of non-relativistic field theoretical models on the non commutative plane are reviewed. It is shown in particular that Galilean invariance strongly restricts the admissible interactions. Moreover, if a…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Horvathy , L. Martina , P. C. Stichel

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

The Galileon model is a modified gravity theory that may provide an explanation for the accelerated expansion of the Universe. This model does not suffer from instabilities or ghost problems (normally associated with higher-order derivative…

General Relativity and Quantum Cosmology · Physics 2013-07-02 J. Neveu , V. Ruhlmann-Kleider , A. Conley , N. Palanque-Delabrouille , P. Astier , J. Guy , E. Babichev

We investigate the cosmological properties of Galileon models with positive kinetic terms. We include both conformal and disformal couplings to matter and focus on constraints on the theory that arise because of these couplings. The…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Philippe Brax , Clare Burrage , Anne-Christine Davis , Giulia Gubitosi

The effects of quantum corrections to a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary are considered in the context of a renormalisation procedure. The renormalisation of the…

High Energy Physics - Theory · Physics 2014-11-18 George Tsoupros

We study the theory of noncommutative U(N) Yang-Mills field interacting with scalar and spinor fields in the fundamental and the adjoint representations. We include in the action both the terms describing interaction between the gauge and…

High Energy Physics - Theory · Physics 2009-11-07 I. L. Buchbinder , V. A. Krykhtin

In this paper, we investigate the first and second order cosmological perturbations in the light mass Galileon (LMG) scenario. LMG action includes cubic Galileon term along with the standard kinetic term and a potential which is added…

General Relativity and Quantum Cosmology · Physics 2017-07-12 Md. Wali Hossain

We study the scalar modes of linear perturbations in loop quantum cosmology. This is done on a lattice where each cell is taken to be homogeneous and isotropic and can be quantized via standard homogeneous loop quantum cosmology techniques.…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Edward Wilson-Ewing

A fully consistent linear perturbation theory for cosmology is derived in the presence of quantum corrections as they are suggested by properties of inverse volume operators in loop quantum gravity. The underlying constraints present a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Golam Mortuza Hossain , Mikhail Kagan , S. Shankaranarayanan

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

We construct effective field theories for gapped quantum Hall systems coupled to background geometries with local Galilean invariance i.e. Bargmann spacetimes. Along with an electromagnetic field, these backgrounds include the effects of…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 Michael Geracie , Kartik Prabhu , Matthew M. Roberts

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 establish a correspondence between general relativity with diffeomorphism invariance and scalar field theories with Galilean invariance: notions such as the Levi-Civita connection and the Riemann tensor have a Galilean counterpart. This…

High Energy Physics - Theory · Physics 2016-03-02 Remko Klein , Mehmet Ozkan , Diederik Roest

We study spatially flat bouncing cosmologies and models with the early-time Genesis epoch in a popular class of generalized Galileon theories. We ask whether there exist solutions of these types which are free of gradient and ghost…

High Energy Physics - Theory · Physics 2016-08-31 M. Libanov , S. Mironov , V. Rubakov

The gauge invariant minimal couplings for a class of relativistic free matter fields with global symmetry (related to usual charge conservation) have been obtained by incorporating an iterative Noether mechanism. Non-relativistic reduction…

High Energy Physics - Theory · Physics 2025-10-15 Ashis Saha , Rabin Banerjee , Sunandan Gangopadhyay