Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.
Multi-galileons, solitons and Derrick's theorem
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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.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Derives conditions for viable screened radial solutions in multi-field de Sitter Galileons, showing curvature can mitigate superluminality at the cost of a finite validity range set by the strong-coupling point.
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Removing Ostrogradsky modes in multi-field higher-order scalar-tensor theories
Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.
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Radial Solutions of Multi-Field de Sitter Galileons
Derives conditions for viable screened radial solutions in multi-field de Sitter Galileons, showing curvature can mitigate superluminality at the cost of a finite validity range set by the strong-coupling point.