Higher-derivative operators and effective field theory for general scalar-tensor theories

Abstract

We discuss the extent to which it is necessary to include higher-derivative operators in the effective field theory of general scalar-tensor theories. We explore the circumstances under which it is correct to restrict to second-order operators only, and demonstrate this using several different techniques, such as reduction of order and explicit field redefinitions. These methods are applied, in particular, to the much-studied Horndeski theories. The goal is to clarify the application of effective field theory techniques in the context of popular cosmological models, and to explicitly demonstrate how and when higher-derivative operators can be cast into lower-derivative forms suitable for numerical solution techniques.

37+3 pages. v2: version published in JCAP

References in corpus (17)

• Beyond the Cosmological Standard Model
• Cosmology and Fundamental Physics with the Euclid Satellite
• Effective Field Theory for Inflation
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Multi-field galileons and higher co-dimension branes
• Symmetries for Galileons and DBI scalars on curved space
• Observables and unobservables in dark energy cosmologies
• Bi-galileon theory I: motivation and formulation
• General Embedded Brane Effective Field Theories
• Riding on irrelevant operators
• Robust Inflation from Fibrous Strings
• Aspects of Galileon Non-Renormalization
• Who You Gonna Call? Runaway Ghosts, Higher Derivatives and Time-Dependence in EFTs
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to J/\psi K^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$
• Holographic Isotropisation in Gauss-Bonnet Gravity
• Unitarity and the Vainshtein Mechanism

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