Multi-galileons, solitons and Derrick's theorem

Details Multi-galileons, solitons and Derrick's theorem Multi-galileons, solitons and Derrick's theorem

2010-08-04

arxiv.org/abs/1008.0745v3

Phys.Rev.D83:045009,2011

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 1 figure. Minor change to order of references

Scientific paper

10.1103/PhysRevD.83.045009

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 motion contain at most second-order derivatives. Here we extend the analysis to an arbitrary number of scalars, and examine the restrictions imposed by an internal symmetry, focussing in particular on SU(N) and SO(N). This therefore extends the possible gradient terms that may be used to stabilise topological objects such as sigma model lumps.

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