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Effective theories of a scalar $\phi$ invariant under the internal \textit{galileon symmetry} $\phi\to\phi+b_\mu x^\mu$ have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we…

High Energy Physics - Theory · Physics 2015-09-16 David Pirtskhalava , Luca Santoni , Enrico Trincherini , Filippo Vernizzi

We address the construction and interpretation of diffeomorphism-invariant observables in a low-energy effective theory of quantum gravity. The observables we consider are constructed as integrals over the space of coordinates, in analogy…

High Energy Physics - Theory · Physics 2009-09-29 Steven B. Giddings , Donald Marolf , James B. Hartle

A general diffeomorphism invariant SU(2) gauge theory is a gravity theory with two propagating polarizations of the graviton. We develop this description of gravity, in particular for future applications to the perturbative quantization.…

High Energy Physics - Theory · Physics 2011-08-09 Kirill Krasnov

We put forward the idea that in addition to diffeomorphism invariance of general relativity (GR) the gravitational interaction is invariant under arbitrary scale-deformations of the metric field. In addition, we assume that the scaling…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Meir Shimon

We reexamine a scenario in which photons and gravitons arise as Goldstone bosons associated with the spontaneous breaking of Lorentz invariance. We study the emergence of Lorentz invariant low energy physics in an effective field theory…

High Energy Physics - Theory · Physics 2009-11-07 Per Kraus , E. T. Tomboulis

Lorentz and diffeomorphism violations are studied in linearized gravity using effective field theory. A classification of all gauge-invariant and gauge-violating terms is given. The exact covariant dispersion relation for gravitational…

General Relativity and Quantum Cosmology · Physics 2018-02-23 Alan Kostelecky , Matthew Mewes

We examine effective field theories (EFTs) with a continuum sector in the presence of gravity. We first explain, via arguments based on central charge and species scale, that an EFT with a free continuum cannot consistently couple to…

High Energy Physics - Phenomenology · Physics 2023-05-31 Sylvain Fichet , Eugenio Megias , Mariano Quiros

Effective Field Theories (EFTs) for Goldstone Boson scattering at a low order allow the computation of near--threshold observables in terms of a few coefficients arranged by a counting. As a matter of principle they should make sense up to…

High Energy Physics - Phenomenology · Physics 2020-12-07 Juan Escudero-Pedrosa , Felipe J. Llanes-Estrada , José Antonio Oller , Alexandre Salas-Bernárdez

We consider a diffeomorphism invariant theory of a gauge field valued in a Lie algebra that breaks spontaneously to the direct sum of the spacetime Lorentz algebra, a Yang-Mills algebra, and their complement. Beginning with a fully gauge…

General Relativity and Quantum Cosmology · Physics 2015-03-17 A. Garrett Lisi , Lee Smolin , Simone Speziale

The application of Effective Field Theory (EFT) methods to inflation has taken a central role in our current understanding of the very early universe. The EFT perspective has been particularly useful in analyzing the self-interactions…

High Energy Physics - Theory · Physics 2013-04-05 Rhiannon Gwyn , Gonzalo A. Palma , Mairi Sakellariadou , Spyros Sypsas

I demonstrate that soft graviton modes in de Sitter spacetimes are the Goldstone modes of the spontaneously broken asymptotic symmetry group of de Sitter space. I then show that any local measurement, including the effects of the…

High Energy Physics - Theory · Physics 2025-10-10 Martin S. Sloth

Viewing gravitational energy momentum $p_G^\mu$ as equal by observation, but different in essence from inertial energy-momentum $p_I^\mu$ requires two different symmetries to account for their independent conservations - spacetime and inner…

Mathematical Physics · Physics 2012-02-28 C. Wiesendanger

We consider the theory of a symmetric tensor field in 4D, invariant under a subclass of infinitesimal diffeomorphism transformations, where the vector diff parameter is the 4-divergence of a scalar parameter. The resulting gauge symmetry…

High Energy Physics - Theory · Physics 2022-07-20 Alberto Blasi , Nicola Maggiore

We introduce a technique for restoring general coordinate invariance into theories where it is explicitly broken. This is the analog for gravity of the Callan-Coleman-Wess-Zumino formalism for gauge theories. We use this to elucidate the…

High Energy Physics - Theory · Physics 2015-06-26 Nima Arkani-Hamed , Howard Georgi , Matthew D. Schwartz

We consider a theory of gravity in which a symmetric two-index tensor in Minkowski spacetime acquires a vacuum expectation value (vev) via a potential, thereby breaking Lorentz invariance spontaneously. When the vev breaks all the…

High Energy Physics - Theory · Physics 2009-08-13 Sean M. Carroll , Heywood Tam , Ingunn Kathrine Wehus

We study cosmological perturbations of self-accelerating universe solutions in the recently proposed nonlinear theory of massive gravity, with general matter content. While the broken diffeomorphism invariance implies that there generically…

High Energy Physics - Theory · Physics 2012-03-07 A. Emir Gumrukcuoglu , Chunshan Lin , Shinji Mukohyama

We study the general class of gravitational field theories constructed on the basis of scale invariance (and therefore absence of any mass parameters) and invariance under transverse diffeomorphisms (TDiff), which are the 4-volume…

High Energy Physics - Theory · Physics 2011-08-12 Diego Blas , Mikhail Shaposhnikov , Daniel Zenhausern

Gravitational effective field theories with nondynamical backgrounds explicitly break diffeomorphism and local Lorentz invariance. At the same time, to maintain observer independence the action describing these theories is required to be…

High Energy Physics - Theory · Physics 2016-11-23 Robert Bluhm , Amar Sehic

Gravitational theories with fixed background fields break diffeomorphism invariance. This breaking can be spontaneous or explicit. A brief summary of the main consequences of these types of breaking is presented.

General Relativity and Quantum Cosmology · Physics 2016-07-27 R. Bluhm

We discuss the realization of inflation and resulting cosmological perturbations in the low-energy effective string theory. In order to obtain nearly scale-invariant spectra of density perturbations and a suppressed tensor-to-scalar ratio,…

High Energy Physics - Theory · Physics 2008-11-26 Zong-Kuan Guo , Nobuyoshi Ohta , Shinji Tsujikawa