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Invertible disformal transformations are a useful tool to investigate ghost-free scalar-tensor theories. By performing a higher-derivative generalization of the invertible disformal transformation on Horndeski theories, we construct a novel…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi

We systematically construct ghost-free scalar-tensor theories whose Lagrangian includes up to third-order derivatives of the scalar field. Using a spatially covariant action written in terms of the ADM variables, we impose degeneracy and…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Masaki Michiwaki , Tsutomu Kobayashi

Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor theories. In this paper, we construct a generalization of invertible disformal transformations that involves arbitrary higher-order covariant…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Kazufumi Takahashi

The effective field theory (EFT) of cosmological perturbations is a useful framework to deal with the low-energy degrees of freedom present for inflation and dark energy. We review the EFT for modified gravitational theories by starting…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Shinji Tsujikawa

Recently, a generalization of invertible disformal transformations containing higher-order derivatives of a scalar field has been proposed in the context of scalar-tensor theories of gravity. By applying this generalized disformal…

General Relativity and Quantum Cosmology · Physics 2023-08-21 Tact Ikeda , Kazufumi Takahashi , Tsutomu Kobayashi

We consider a higher-derivative generalization of disformal transformations in $D$-dimensional spacetime and clarify the conditions under which they form a group with respect to the matrix product and the functional composition. These…

General Relativity and Quantum Cosmology · Physics 2022-01-06 Kazufumi Takahashi , Hayato Motohashi , Masato Minamitsuji

We study the role of field redefinitions in general scalar-tensor theories. In particular, we first focus on the class of field redefinitions linear in the spin-2 field and involving derivatives of the spin-0 mode, generically known as…

High Energy Physics - Theory · Physics 2017-04-26 Jose María Ezquiaga , Juan García-Bellido , Miguel Zumalacárregui

Higher derivative scalar interactions can give rise to interesting cosmological scenarios. We present a complete classification of such operators that can yield sizeable effects without introducing ghosts and, at the same time, define an…

High Energy Physics - Theory · Physics 2018-08-22 Luca Santoni , Enrico Trincherini , Leonardo G. Trombetta

We formulate the Effective Field Theory (EFT) of perturbations within scalar-tensor theories on an inhomogeneous background. The EFT is constructed while keeping a background of a scalar field to be $\textit{timelike}$, which spontaneously…

High Energy Physics - Theory · Physics 2024-01-11 Shinji Mukohyama , Vicharit Yingcharoenrat

Higher derivative corrections are ubiquitous in effective field theories, which seemingly introduces new degrees of freedom at successive order. This is actually an artefact of the implicit local derivative expansion defining effective…

High Energy Physics - Theory · Physics 2024-07-30 Dražen Glavan

The Horndeski action is the most general one involving a metric and a scalar field that leads to second order field equations in four dimensions. Being the natural extension of the well known Scalar-Tensor theories, its structure and…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Dario Bettoni , Stefano Liberati

The Horndeski action is the most general one involving a metric and a scalar field that leads to second-order field equations in four dimensions. Being the natural extension of the well-known scalar-tensor theories, its structure and…

General Relativity and Quantum Cosmology · Physics 2014-05-16 Dario Bettoni

Recently, the Effective Field Theory (EFT) of perturbations on an arbitrary background metric with a timelike scalar profile was formulated in the context of scalar-tensor theories. Here, we generalize the dictionary between the…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Shinji Mukohyama , Kazufumi Takahashi , Vicharit Yingcharoenrat

Studying the effects of dark energy and modified gravity on cosmological scales has led to a great number of physical models being developed. The effective field theory (EFT) of cosmic acceleration allows an efficient exploration of this…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Joe Kennedy , Lucas Lombriser , Andy Taylor

We develop the effective field theory (EFT) of perturbations in the context of scalar-tensor theories with a spacelike scalar profile on arbitrary black hole backgrounds. Our construction of the EFT is based on the fact that in the unitary…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Shinji Mukohyama , Emeric Seraille , Kazufumi Takahashi , Vicharit Yingcharoenrat

Disformal couplings to fermions lead to a unique derivative coupling to the axial fermionic current, which contains higher derivatives in general. We derive general conditions on consistent disformal couplings by requiring the absence of…

High Energy Physics - Theory · Physics 2025-10-10 Guillem Domènech , Alexander Ganz , Apostolos Tsabodimos

We show that under a general disformal transformation the linear comoving curvature perturbation is not identically invariant, but is invariant on superhorizon scales for any theory that is disformally related to Horndeski's theory. The…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Hayato Motohashi , Jonathan White

We investigate a systematic formulation of vector-tensor theories based on the effective field theory (EFT) approach. The input of our EFT is that the spacetime symmetry is spontaneously broken by the existence of a preferred timelike…

High Energy Physics - Theory · Physics 2022-02-02 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama , Kazufumi Takahashi

Disformal transformation is a generalisation of the well-known conformal transformation commonly elaborated in mainstream graduate texts in gravity (relativity) and modern cosmology. This transformation is one of the most important…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Allan L. Alinea

We construct the Effective Field Theory (EFT) of the teleparallel equivalent of general relativity (TEGR). Firstly, we present the necessary field redefinitions of the scalar field and the tetrads. Then we provide all the terms at…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Maria Mylova , Jackson Levi Said , Emmanuel N. Saridakis
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