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Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Alan Kostelecky , Zonghao Li

Effective gravitational field theories with background fields break local Lorentz symmetry and diffeomorphism invariance. Examples include Chern-Simons gravity, massive gravity, and the Standard-Model Extension (SME). The physical…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Robert Bluhm

We complement investigations of the gauge structure of general relativity with an analysis of the physical consequences of the spontaneous breaking of diffeomorphism invariance which manifests itself in e.g. the socalled Einstein hole…

General Relativity and Quantum Cosmology · Physics 2012-03-09 Manfred Requardt

The properties of the effective field theory relevant for the low energy structure generated by the Goldstone bosons of a spontaneously broken symmetry are reexamined. It is shown that anomaly free, Lorentz invariant theories are…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

Minimally modified gravity theories are modifications of general relativity with two local gravitational degrees of freedom in four dimensions. Their construction relies on the breaking of 4D diffeomorphism invariance keeping however the…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Shinji Mukohyama , Karim Noui

Modified theories of gravity that explicitly break diffeomorphism invariance have been used for over a decade to explore open issues related to quantum gravity, dark energy, and dark matter. At the same time, the Standard-Model Extension…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Robert Bluhm , Yumu Yang

Just like the vector bosons in Abelian and non-Abelian gauge theories, gravitons can attain mass by spontaneous local symmetry breaking. The question is whether this can happen in a Lorentz-invariant way. We consider the use of four scalar…

High Energy Physics - Theory · Physics 2008-01-07 Gerard 't Hooft

We review and extend recent studies of dilaton effective field theory (dEFT) which provide a framework for the description of the Higgs boson as a composite structure. We first describe the dEFT as applied to lattice data for a class of…

High Energy Physics - Phenomenology · Physics 2022-12-02 Thomas Appelquist , James Ingoldby , Maurizio Piai

The internal structure of the tetrads in a Poincar\'e non linear gauge theory of gravity is considered. Minkowskian coordinates becomes dynamical degrees of freedom playing the role of Goldstone bosons of the translations. A critical length…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Martin , A. Tiemblo

Diffeomorphism invariance breaking has been investigated in the literature in several contexts, including emergent General Relativity (GR). If GR emerges from an underlying theory without diffeomorphism invariance, there may be small…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ufuk Aydemir , Mahmut Elbistan

We discuss the effective field theory of large scale structure in terms of a single scalar degree of freedom, corresponding to the velocity potential of the matter fluid in a $\Lambda$CDM universe. This cosmic ``pion'' field is nonlinearly…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 Lara Celik , Bart Horn , Bhavya Mishra , David Muqattash

We investigate the f(R) theory of gravity with broken diffeomorphism due to the change of the coefficient in front of the total divergence term in the (3+1)-decomposition of the scalar curvature. We perform the canonical analysis of this…

General Relativity and Quantum Cosmology · Physics 2016-05-18 M. Chaichian , A. Ghalee , J. Kluson

Effective field theories which describe the coupling between gravity and matter fields have recently been extended to include terms with operators of non-minimal mass dimension. These terms preserve the usual gauge symmetries but may…

High Energy Physics - Phenomenology · Physics 2025-02-04 Hollis Williams

The paper concerns the effective field theory methods used to study the low energy structure of systems with a spontaneously broken symmetry. I first explain how the method works in the context of quantum chromodynamics and then discuss a…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Leutwyler

We apply the Effective Field Theory of Inflation to study the case where the continuous shift symmetry of the Goldstone boson \pi is softly broken to a discrete subgroup. This case includes and generalizes recently proposed String Theory…

High Energy Physics - Theory · Physics 2015-06-03 Siavosh R. Behbahani , Anatoly Dymarsky , Mehrdad Mirbabayi , Leonardo Senatore

In this work we present the effective field theory of primordial statistical anisotropies generated during anisotropic inflation involving a background $U(1)$ gauge field. Besides the usual Goldstone boson associated with the breaking of…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Ali Akbar Abolhasani , Mohammad Akhshik , Razieh Emami , Hassan Firouzjahi

We derive the low-energy effective theory of gravity for a generalized Randall-Sundrum scenario, allowing for a third self-gravitating brane to live in the 5D bulk spacetime. At zero order the 5D spacetime is composed of two slices of…

High Energy Physics - Theory · Physics 2008-11-26 Ludovica Cotta-Ramusino , David Wands

We study the effective field theory of inflation, i.e. the most general theory describing the fluctuations around a quasi de Sitter background, in the case of single field models. The scalar mode can be eaten by the metric by going to…

High Energy Physics - Theory · Physics 2009-06-11 Clifford Cheung , Paolo Creminelli , A. Liam Fitzpatrick , Jared Kaplan , Leonardo Senatore

We show that the soft photon, gluon and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new…

High Energy Physics - Theory · Physics 2018-05-23 Yuta Hamada , Gary Shiu

We study the universal low-energy dynamics associated with the spontaneous breaking of Lorentz invariance down to spatial rotations. The effective Lagrangian for the associated Goldstone field can be uniquely determined by the non-linear…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nima Arkani-Hamed , Hsin-Chia Cheng , Markus Luty , Jesse Thaler
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