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We show that only two types of effective metrics are possible in certain nonlinear electromagnetic theories. This is achieved by using the dependence of the effective metric on the energy-momentum tensor of the background along with the…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Erico Goulart de Oliveira Costa , Santiago Esteban Perez Bergliaffa

We present the extension of the effective field theory framework to the mildly non-linear scales. The effective field theory approach has been successfully applied to the late time cosmic acceleration phenomenon and it has been shown to be…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Noemi Frusciante , Georgios Papadomanolakis

Formal analogies between gravitational and optical phenomena have been explored for over a century, providing valuable insights into kinematic aspects of general relativity. Here, this analogy is employed to study light propagation in…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Lucas T. de Paula , Caio C. Holanda Ribeiro , Vitorio A. De Lorenci

A nonlinear scalar field theory from which an effective metric can be deduced is considered. This metric is shown to be compatible with requirements of general relativity. It is demonstrated that there is a class of solutions which fulfill…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Okninski

Effective field theory provides a way of parameterizing strong-field deviations from General Relativity that might be observable in the gravitational waves emitted in a black hole merger. To perform numerical simulations of mergers in such…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Aron D. Kovacs , Harvey S. Reall

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

Many modifications of gravity introduce new scalar degrees of freedom, and in such theories matter fields typically couple to an effective metric that depends on both the true metric of spacetime and on the scalar field and its derivatives.…

High Energy Physics - Theory · Physics 2015-06-05 Philippe Brax , Clare Burrage , Anne-Christine Davis

This chapter is a non-expert introduction to the effective field theory of large scale structure. First, we give a detailed pedagogical explanation of why previous attempts to build non-linear cosmological perturbation theory failed. After…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-19 Mikhail M. Ivanov

We show that results about spaces or moduli spaces of positive scalar curvature metrics proved using index theory can typically be extended to non-negative scalar curvature metrics. We illustrate this by providing explicit generalizations…

Differential Geometry · Mathematics 2021-01-12 Thomas Schick , David J. Wraith

We elaborate on a recently proposed geometric framework for scalar effective field theories. Starting from the action, a metric can be identified that enables the construction of geometric quantities on the associated functional manifold.…

High Energy Physics - Theory · Physics 2025-04-14 Timothy Cohen , Xiaochuan Lu , Zhengkang Zhang

We consider oscillons - localized, quasiperiodic, and extremely long-living classical solutions in models with real scalar fields. We develop their effective description in the limit of large size at finite field strength. Namely, we note…

High Energy Physics - Theory · Physics 2022-12-19 D. G. Levkov , V. E. Maslov , E. Ya. Nugaev , A. G. Panin

Discontinuities in non linear field theories propagate through null geodesics in an effective metric that depends on its dynamics and on the background geometry. Once information of the geometry of the universe comes mostly from photons,…

Astrophysics · Physics 2009-11-11 M. Novello , E. Huguet , J. Queva

An introduction to methods of effective field theory is given. Examples are presented, including Rayleigh scattering from nonrelativistic quantum mechnics, chiral perturbation theory/QCD as well as electromagnetic and weak interactions of…

Nuclear Theory · Physics 2011-07-19 Barry R. Holstein

The propagation of scalar and spinor fields in a spacetime whose metric changes signature is analyzed. Recent work of Dray et al. on particle production from signature change for a (massless) scalar field is reviewed, and an attempt is made…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Joseph D. Romano

The effective field theory approach to high temperature field theory can be used to study the phase transition in theories with spontaneously broken symmetry. I construct a sequence of two effective three--dimensional field theories which…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jens O. Andersen

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 Eric Braaten , Agustin Nieto

We show that non-linear dynamics of a scalar field {\phi} may be described as a mod- ification of the spacetime geometry. Thus, the self-interaction is interpreted as a coupling of the scalar field with an effective gravitational metric…

General Relativity and Quantum Cosmology · Physics 2013-06-07 E. Goulart , M. Novello , F. T. Falciano , J. D. Toniato

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

High Energy Physics - Theory · Physics 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

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 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
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