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We propose a universal description of dark energy and modified gravity that includes all single-field models. By extending a formalism previously applied to inflation, we consider the metric universally coupled to matter fields and we write…

High Energy Physics - Theory · Physics 2015-06-11 Giulia Gubitosi , Federico Piazza , Filippo Vernizzi

We formulate an effective field theory (EFT) of coupled dark energy (DE) and dark matter (DM) interacting through energy and momentum transfers. In the DE sector, we exploit the EFT of vector-tensor theories with the presence of a preferred…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-24 Katsuki Aoki , Jose Beltrán Jiménez , Masroor C. Pookkillath , Shinji Tsujikawa

In the context of the effective field theory of dark energy (EFT) we perform agnostic explorations of Horndeski gravity. We choose two parametrizations for the free EFT functions, namely a power law and a dark energy density-like behaviour…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-03 Noemi Frusciante , Simone Peirone , Santiago Casas , Nelson A. Lima

We study generic single-field dark energy models, by a parametrization of the most general theory of their perturbations around a given background, including higher derivative terms. In appropriate limits this approach reproduces standard…

Astrophysics · Physics 2009-02-17 Paolo Creminelli , Guido D'Amico , Jorge Noreña , Filippo Vernizzi

The $k$-essence theory is a prototypical class of scalar-field models that already gives rich phenomenology and has been a target of extensive studies in cosmology. General forms of shift-symmetric $k$-essence are known to suffer from…

High Energy Physics - Theory · Physics 2021-02-17 Shinji Mukohyama , Ryo Namba

Typically, constraints on parameters of the effective field theory (EFT) of dark energy have been obtained in the Jordan frame, where matter fields are minimally coupled to gravity. To connect these constraints with those of the EFT of…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Shinji Mukohyama , Emeric Seraille , Kazufumi Takahashi , Vicharit Yingcharoenrat

The effective field theory of dark energy and modified gravity is supposed to well describe, at low energies, the behaviour of the gravity modifications due to one extra scalar degree of freedom. The usual curvature perturbation is very…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

The rate of structure formation in the Universe is different in homogeneous and clustered dark energy models. The degree of dark energy clustering depends on the magnitude of its effective sound speed $c^{2}_{\rm eff}$ and for $c_{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-04 A. Mehrabi , S. Basilakos , F. Pace

The Effective Field Theory (EFT) of Dark Energy (DE) is a model independent framework that allows for the description of a wide class of dark energy and modified gravity models. This is achieved by extending the Hilbert Einstein action…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-25 Federico Armato , Edoardo Martinelli , Marco Raveri

Effective Field Theory (EFT) is an efficient method for parametrizing unknown high energy physics effects on low energy data. When applied to time-dependent backgrounds, EFT must be supplemented with initial conditions. In these…

High Energy Physics - Theory · Physics 2007-05-23 M. Porrati

A massive, nonrelativistic scalar field in an expanding spacetime is usually approximated by a pressureless perfect fluid, which leads to the standard conclusion that such a field can play the role of cold dark matter. In this paper, we…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-14 Borna Salehian , Mohammad Hossein Namjoo , David I. Kaiser

In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of an infinite tower of higher "spin" operators. We construct an effective field theory (EFT)…

High Energy Physics - Theory · Physics 2023-08-16 Ping Gao , Hong Liu

We develop an effective field theory (EFT) framework for $U(1)_X$ gauge symmetry breaking in which the dynamics of the order parameter acquire non-local-in-time (``memory'') corrections from a heavy dark sector. Integrating out metastable…

High Energy Physics - Phenomenology · Physics 2025-09-29 Arnab Chaudhuri

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

In this paper, we explore the nonsingular cosmology within the framework of the Effective Field Theory(EFT) of cosmological perturbations. Due to the recently proved no-go theorem, any nonsingular cosmological models based on the cubic…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Yong Cai , Youping Wan , Hai-Guang Li , Taotao Qiu , Yun-Song Piao

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

We implement the effective field theory (EFT) approach to dark energy and modified gravity in the public Einstein-Boltzmann solver CAMB. The resulting code, which we dub EFTCAMB, is a powerful and versatile tool that can be used for several…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-28 Bin Hu , Marco Raveri , Noemi Frusciante , Alessandra Silvestri

We present a generalization of the effective field theory (EFT) formalism for dark energy and modified gravity models to include operators with higher order spatial derivatives. This allows the extension of the EFT framework to a wider…

General Relativity and Quantum Cosmology · Physics 2016-08-04 Noemi Frusciante , Georgios Papadomanolakis , Alessandra Silvestri

The effective field theory (EFT) of dark energy provides a model-independent framework for studying cosmology within scalar-tensor theories. In this work, we explore how the time evolution of the cosmological background, inferred from…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 Fumiya Okamatsu , Kazufumi Takahashi

In this paper, we quantify the non-linear effects from $k$-essence dark energy through an effective parameter $\mu$ that encodes the additional contribution of a dark energy fluid or a modification of gravity to the Poisson equation. This…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-23 Farbod Hassani , Benjamin L'Huillier , Arman Shafieloo , Martin Kunz , Julian Adamek