Multi-Galileons, solitons, and Derrick’s theorem

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

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.

Citation

Padilla, A., Saffin, P. M., & Zhou, S.-Y. (2011). Multi-Galileons, solitons, and Derrick’s theorem. Physical Review D, 83(4), https://doi.org/10.1103/PhysRevD.83.045009

• Journal Article Type: Article
• Acceptance Date: Feb 1, 2011
• Publication Date: Feb 14, 2011
• Deposit Date: Apr 21, 2017
• Publicly Available Date: Apr 21, 2017
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 83
• Issue: 4
• DOI: https://doi.org/10.1103/PhysRevD.83.045009
• Public URL: https://nottingham-repository.worktribe.com/output/707257
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.83.045009
• Contract Date: Apr 21, 2017