# Solitons in generalized Galileon theories

@article{CarrilloGonzlez2016SolitonsIG, title={Solitons in generalized Galileon theories}, author={Mariana Carrillo-Gonz{\'a}lez and Ali Masoumi and Adam R. Solomon and Mark Trodden}, journal={Physical Review D}, year={2016}, volume={94}, pages={125013} }

We consider the existence and stability of solitons in generalized galileons, scalar field theories with higher-derivative interactions but second-order equations of motion. It has previously been proven that no stable, static solitons exist in a single galileon theory using an argument invoking the existence of zero modes for the perturbations. Here we analyze the applicability of this argument to generalized galileons and discuss how this may be avoided by having potential terms in the energy…

## 8 Citations

### Prepared for submission to JCAP

- Physics
- 2021

We establish the existence of time-dependent solitons in a modified gravity framework, which is defined by the low energy limit of theories with a weakly broken galileon symmetry and a mass term.…

### Horndeski stars

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2021

We establish the existence of time-dependent solitons in a modified gravity framework, which is defined by the low energy limit of theories with a weakly broken galileon symmetry and a mass term.…

### Non-perturbative aspects of galileon duality

- Physics
- 2017

We study quantum aspects of the galileon duality, especially in the case of a particular interacting galileon theory that is said to be dual to a free theory through the action of a simultaneous…

### BPS property and its breaking in 1+1 dimensions

- MathematicsPhysical Review D
- 2018

We show that the BPS property is a generic feature of field theories in (1+1) dimensions, which does not put any restriction on the action. Here, by BPS solutions we understand static solutions which…

### Domain walls without a potential

- Mathematics, Physics
- 2020

We show that domain walls, or kinks, can be constructed in simple scalar theories where the scalar has no potential. These theories belong to a class of k-essence where the Lagrangian vanishes…

### Bogomolny equations in certain generalized baby BPS Skyrme models

- Physics
- 2017

By using the concept of strong necessary conditions (CSNCs), we derive Bogomolny equations and Bogomol’nyi–Prasad–Sommerfield (BPS) bounds for two certain modifications of the baby BPS Skyrme model:…

### On Bogomolny equations in generalized gauged baby BPS Skyrme models

- Physics
- 2016

Using the concept of strong necessary conditions (CSNC), we derive Bogomolny equations and BPS bounds for two modifications of the gauged baby BPS Skyrme model: the nonminimal coupling to the gauge…

## References

SHOWING 1-10 OF 45 REFERENCES

### Multi-Galileons, solitons, and Derrick’s theorem

- Physics, Mathematics
- 2011

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…

### Derrick’s theorem beyond a potential

- Physics
- 2010

Scalar field theories with derivative interactions are known to possess solitonic excitations, but such solitons are generally unsatisfactory because the effective theory fails precisely where…

### Supersymmetric Galileons

- Physics
- 2011

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 highenergy regime in the history…

### Fermion-field nontopological solitons

- Physics
- 1977

The interaction between a scalar field and a set of n fermion fields in three space dimensions is investigated by decomposing the total Hamiltonian H into a sum of two terms: H = H/sub qcl/ + H/sub…

### Bi-galileon theory I: motivation and formulation

- Physics
- 2010

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…

### Multifield Galileons and higher codimension branes

- Physics
- 2010

In the decoupling limit, the Dvali-Gabadadze-Porrati model reduces to the theory of a scalar field $\ensuremath{\pi}$, with interactions including a specific cubic self-interaction---the Galileon…

### DBI and the Galileon reunited

- Physics
- 2010

We derive the relativistic generalization of the Galileon, by studying the brane position modulus of a relativistic probe brane embedded in a five- dimensional bulk. In the appropriate Galilean…

### Galileons as Wess-Zumino terms

- Mathematics, Physics
- 2012

A bstractWe show that the galileons can be thought of as Wess-Zumino terms for the spontaneous breaking of space-time symmetries. Wess-Zumino terms are terms which are not captured by the coset…

### Bi-galileon theory II: phenomenology

- Physics
- 2011

We continue to 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…