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Multi-Galileons, solitons, and Derrick’s theorem

Padilla, Antonio; Saffin, Paul M.; Zhou, Shuang-Yong

Authors

Antonio Padilla

Paul M. Saffin

Shuang-Yong Zhou

Abstract

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.

Journal Article Type Article
Publication Date Feb 14, 2011
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 83
Issue 4
Institution Citation Padilla, A., Saffin, P. M., & Zhou, S. (2011). Multi-Galileons, solitons, and Derrickā€™s theorem. Physical Review D, 83(4), doi:10.1103/PhysRevD.83.045009
DOI https://doi.org/10.1103/PhysRevD.83.045009
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.83.045009
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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