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Title: Effective field theory of broken spatial diffeomorphisms

Abstract

We study the low energy effective theory describing gravity with broken spatial diffeomorphism invariance. In the unitary gauge, the Goldstone bosons associated with broken diffeomorphisms are eaten and the graviton becomes a massive spin-2 particle with 5 well-behaved degrees of freedom. In this gauge, the most general theory is built with the lowest dimension operators invariant under only temporal diffeomorphisms. Imposing the additional shift and SO(3) internal symmetries, we analyze the perturbations on a FRW background. At linear perturbation level, the observables of this theory are characterized by five parameters, including the usual cosmological parameters and one additional coupling constant for the symmetry-breaking scalars. In the de Sitter and Minkowski limit, the three Goldstone bosons are supermassive and can be integrated out, leaving two massive tensor modes as the only propagating degrees of freedom. In conclusion, we discuss several examples relevant to theories of massive gravity.

Authors:
 [1];  [2]
  1. Kyoto Univ., Kyoto (Japan); The Univ. of Tokyo, Chiba (Japan)
  2. Univ. of Texas, Austin, TX (United States); National Taiwan Univ., Taipei (Taiwan)
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1326978
Grant/Contract Number:  
NA0002008
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2016; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Classical Theories of Gravity; Effective field theories

Citation Formats

Lin, Chunshan, and Labun, Lance Z. Effective field theory of broken spatial diffeomorphisms. United States: N. p., 2016. Web. doi:10.1007/JHEP03(2016)128.
Lin, Chunshan, & Labun, Lance Z. Effective field theory of broken spatial diffeomorphisms. United States. https://doi.org/10.1007/JHEP03(2016)128
Lin, Chunshan, and Labun, Lance Z. 2016. "Effective field theory of broken spatial diffeomorphisms". United States. https://doi.org/10.1007/JHEP03(2016)128. https://www.osti.gov/servlets/purl/1326978.
@article{osti_1326978,
title = {Effective field theory of broken spatial diffeomorphisms},
author = {Lin, Chunshan and Labun, Lance Z.},
abstractNote = {We study the low energy effective theory describing gravity with broken spatial diffeomorphism invariance. In the unitary gauge, the Goldstone bosons associated with broken diffeomorphisms are eaten and the graviton becomes a massive spin-2 particle with 5 well-behaved degrees of freedom. In this gauge, the most general theory is built with the lowest dimension operators invariant under only temporal diffeomorphisms. Imposing the additional shift and SO(3) internal symmetries, we analyze the perturbations on a FRW background. At linear perturbation level, the observables of this theory are characterized by five parameters, including the usual cosmological parameters and one additional coupling constant for the symmetry-breaking scalars. In the de Sitter and Minkowski limit, the three Goldstone bosons are supermassive and can be integrated out, leaving two massive tensor modes as the only propagating degrees of freedom. In conclusion, we discuss several examples relevant to theories of massive gravity.},
doi = {10.1007/JHEP03(2016)128},
url = {https://www.osti.gov/biblio/1326978}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 3,
volume = 2016,
place = {United States},
year = {Thu Mar 17 00:00:00 EDT 2016},
month = {Thu Mar 17 00:00:00 EDT 2016}
}

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Cited by: 22 works
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Works referencing / citing this record:

Distinctive signatures of space-time diffeomorphism breaking in EFT of inflation
journal, March 2016


Massive gravity and the suppression of anisotropies and gravitational waves in a matter-dominated contracting universe
journal, January 2018


Anisotropic tensor power spectrum at interferometer scales induced by tensor squeezed non-Gaussianity
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Probing the inflationary particle content: extra spin-2 field
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Probing non-Gaussian stochastic gravitational wave backgrounds with LISA
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A new mechanism to enhance primordial tensor fluctuations in single field inflation
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Squeezed tensor non-Gaussianity in non-attractor inflation
journal, September 2019


Probing non-Gaussian stochastic gravitational wave backgrounds with LISA
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Probing non-Gaussian Stochastic Gravitational Wave Backgrounds with LISA
text, January 2018


Distinctive signatures of space-time diffeomorphism breaking in EFT of inflation
text, January 2015


Squeezed tensor non-Gaussianity in non-attractor inflation
text, January 2019