A formal introduction to Horndeski and Galileon theories and their generalizations

By Cedric Deffayet, D. Steer. 2013

170 citations recorded by the source corpus.

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

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f767fa58875bf0e2d602f72b079899586b983868

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Tsutomu Kobayashi
2. P. Peter
3. Y. Rodríguez
4. E. Allys
5. Lavinia Heisenberg
6. Peng-Cheng Li
7. D. Seery
8. Yi-Fu Cai

In Nuclear and High Energy Physics

1. P. Peter
2. Y. Rodríguez
3. E. Allys
4. Tsutomu Kobayashi
5. Lavinia Heisenberg
6. Peng-Cheng Li
7. D. Seery
8. Yi-Fu Cai

Citations in the corpus

• Horndeski theory and beyond: a review (2019, methodology): “ellent reviews such as [15, 16, 17]. 2. Horndeski theory 2.1. From Galileons to Horndeski theory To introduce the Horndeski theory in a pedagogical manner, we start from the Galileon theory (see also [18] for a review on the same subject). The Galileon [19] is a scalar field Horndeski theory and beyo”
• Beyond the Cosmological Standard Model (2014, unknown): “Horndeski’s theory has been extensively studied, for overviews see [260, 797].”
• Generalized Proca action for an Abelian vector field (2015, methodology): “[6, 7] (where it was called LN )”
• Exploring gravitational theories beyond Horndeski (2014, unknown): “A particularly compact and popular choice (called “form 3” in [25]) is L 2 = X , (9) L 3 = 3 2 X φ , (10) L 4 = 2X [ ( φ)(2) − φμνφ ]”