Derrick's theorem beyond a potential

Details Derrick's theorem beyond a potential Derrick's theorem beyond a potential

2010-02-25

arxiv.org/abs/1002.4873v1

JHEP 05 (2011) 73

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

10.1007/JHEP05(2011)073

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.

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