# Hidden symmetry of the Galileon

@article{Hinterbichler2015HiddenSO, title={Hidden symmetry of the Galileon}, author={Kurt Hinterbichler and Austin Joyce}, journal={Physical Review D}, year={2015}, volume={92}, pages={023503} }

We show that there is a special choice of parameters for which the galileon theory is invariant under an enhanced shift symmetry whose non-linear part is quadratic in the coordinates. This symmetry fixes the theory to be equivalent to one with only even powers of the field, with no free coefficients, and accounts for the improved soft limit behavior observed in the quartic galileon S-matrix.

## 77 Citations

### The special Galileon as Goldstone of diffeomorphisms

- Physics
- 2020

The special Galileon stands out amongst scalar field theories due to its soft limits, non-linear symmetries and scattering amplitudes. This prompts the question what the origin of its underlying…

### Gauged galileons

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe discuss the gauging of non-linearly realized symmetries as a method to systematically construct spontaneously broken gauge theories. We focus in particular on galileon fields and, using a…

### Geometry of Multiflavor Galileon-Like Theories.

- PhysicsPhysical review letters
- 2018

This work uses Lie-algebraic arguments to classify Lorentz-invariant theories of massless interacting scalars that feature coordinate-dependent redundant symmetries of the Galileon type, creating an infinite catalog of theories relevant for both cosmology and high-energy physics.

### Special Galileon at one loop

- Physics, MathematicsJournal of High Energy Physics
- 2019

Abstract
We present a complete one-loop renormalization of the Special Galileon Smatrix. Especially, we give a complete list of the higher derivative operators which are necessary for the…

### Shift Symmetries and AdS/CFT

- Physics
- 2022

Massive ﬁelds on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary…

### Quantum corrections for the cubic Galileon in the covariant language

- Physics
- 2016

We present for the first time an explicit exposition of quantum corrections within the cubic Galileon theory including the effect of quantum gravity, in a background- and gauge-invariant manner,…

### Galileon at one loop

- Physics, Mathematics
- 2019

We present a complete one-loop renormalization of the Special Galileon S−matrix. Especially we give a complete list of the higher derivative operators which are necessary for one-loop on-shell…

### Enhanced Soft Limits in de Sitter Space

- Mathematics
- 2022

In ﬂat space, the scattering amplitudes of certain scalar eﬀective ﬁeld theories exhibit enhanced soft limits due to the presence of hidden symmetries. In this paper, we show that this phenomenon…

### Galileons as the Scalar Analogue of General Relativity

- Physics
- 2016

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…