Derrick's theorem beyond a potential
High Energy Physics - Theory
2011-05-23 v1 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1002.4873,
title = {Derrick's theorem beyond a potential},
author = {Solomon Endlich and Kurt Hinterbichler and Lam Hui and Alberto Nicolis and Junpu Wang},
journal= {arXiv preprint arXiv:1002.4873},
year = {2011}
}
Comments
4 pages