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Perturbative reduction of derivative order in EFT

Glavan, Dražen Perturbative reduction of derivative order in EFT. In: Seminar Zavoda za teorijsku fiziku (14 March 2018 - 14 March 2018) Institut Ruđer Bošković, Zagreb, Hrvatska.

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Higher derivative corrections are ubiquitous in effective field theories, which seemingly introduces new degrees of freedom at successive orders. This is actually an artefact of the implicit local derivative expansion defining effective field theories. We argue that higher derivative corrections that introduce additional degrees of freedom should be removed and their effects captured either by lower derivative corrections, or special combinations of higher derivative corrections not propagating extra degrees of freedom. Three methods adapted for this task are examined and field redefinitions are found to be most appropriate. First order higher derivative corrections in a scalar tensor theory are removed by field redefinition and it is found that their effects are captured by a subset of Horndeski theories. A case is made for restricting the effective field theory expansions in principle to only terms not introducing additional degrees of freedom.

Item Type: Unpublished conference/workshop items or lecture materials
Uncontrolled Keywords: effective field theories; classical theories of gravity; cosmology of theories beyond the SM
Depositing User: Kristina Ciglar
Date Deposited: 08 Nov 2018 15:55
Last Modified: 08 Nov 2018 15:55

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