Derrick's theorem beyond a potential
arXiv:1002.4873 · doi:10.1007/JHEP05(2011)073
Abstract
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 nonlinearities responsible for the solitons are important. A new class of theories possessing (internal) galilean invariance can in principle bypass this difficulty. Here, we show that these galileon theories do not possess stable solitonic solutions. As a by-product, we show that no stable solitons exist for a different class of derivatively coupled theories, describing for instance the infrared dynamics of superfluids, fluids, solids and some k-essence models.
4 pages
References in corpus (10)
- 4D Gravity on a Brane in 5D Minkowski Space
- A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
- The galileon as a local modification of gravity
- Causality, Analyticity and an IR Obstruction to UV Completion
- Ghost Condensation and a Consistent Infrared Modification of Gravity
- Strong Interactions and Stability in the DGP Model
- Classical and Quantum Consistency of the DGP Model
- Null energy condition and superluminal propagation
- Energy's and amplitudes' positivity
- Low-Energy Quantum Effective Action for Relativistic Superfluids
Cited by in corpus (36)
- Beyond the Cosmological Standard Model
- Theoretical Aspects of Massive Gravity
- A no-hair theorem for the galileon
- Galileon inflation
- Symmetries for Galileons and DBI scalars on curved space
- A formal introduction to Horndeski and Galileon theories and their generalizations
- Galileons from Lovelock actions
- Chronology Protection in Galileon Models and Massive Gravity
- Introducing the Slotheon: a slow Galileon scalar field in curved space-time
- Low-Energy Effective Field Theory for Chromo-Natural Inflation
- K-Oscillons: Oscillons with Non-Canonical Kinetic Terms
- Aspects of Galileon Non-Renormalization
- Topology and Dark Energy: Testing Gravity in Voids
- Boundary Terms and Junction Conditions for Generalized Scalar-Tensor Theories
- Galileons with Gauge Symmetries
- UV properties of Galileons: Spectral Densities
- Gauged Galileons From Branes
- The Worldvolume Action of Kink Solitons in AdS Spacetime
- Horndeski stars
- Radiative stability and observational constraints on dark energy and modified gravity
- Oscillons in Higher-Derivative Effective Field Theories
- Deformation Constraints on Solitons and D-branes
- Galilean currents and charges
- Classical Stability of the Galileon
- Moving Stable Solitons in Galileon Theory
- Heterotic Kink Solitons and their Worldvolume Action
- Solitons in generalized galileon theories
- Hamiltonian of galileon field theory
- Note on the Stabilities of the Light-like Galileon Solutions
- Galileon Higgs Vortices
- Trispectrum from Co-dimension 2(n) Galileons
- Geons of Galileons
- Stable static structures in models with higher-order derivatives
- Modified natural inflation: A small single field model with a large tensor to scalar ratio
- Gravitational Dressing of 3D Conformal Galileon
- Domain walls without a potential