Quantum corrections in massive gravity

Rham, Claudia de; Heisenberg, Lavinia; Ribeiro, Raquel H.

doi:10.1103/physrevd.88.084058

Cited by 115 publications

(145 citation statements)

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“…See [38] for an introduction to the Vainshtein mechanism and the modern approach to the subject. 12 Moreover, this special structure of the potential has been shown to be stable enough under quantum corrections, in the sense that it does deviate from its ghost-free form, but that the resulting ghost has a mass lying above the cut-off [43].…”

Section: Brief Historymentioning

confidence: 96%

Infrared Non-local Modifications of General Relativity

Mitsou¹

2016

Springer Theses

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Le sujet de recherche abordé dans cette thèse concerne le problème de l'énergie sombre en cosmologie, cette forme d'énergie encore non-identifiée qui domine actuellement la dynamique de notre univers. Nous considérons l'éventualité que ce soit une modification non-locale de la théorie de la Relativité Générale qui soità l'origine de cet effet. Inspirés par la théorie de gravité massive, nous construisons des théories non-locales dans lesquelles la gravité peut avoir une masse mais où l'invariance sous difféomorphismes n'est pas brisée. Nous nous focalisons sur la cosmologie de ces théories et les confrontonsà certaines contraintes observationnelles. Sur un plan plus théorique, nous nous attardonségalement sur les subtilités de la théorie des champs non-locale, en clarifiant certains malentendus sur la question de stabilité. RésuméDans cette thèse, notre première motivation est de construire une théorie de gravité massive qui soit invariante sous transformations de coordonnées et ne fasse pas appelà une métrique extérieure de référence, ce qui est possible si l'on a recoursà des termes non-locaux. Cependant, les contraintes phénoménologiques nous mènerontà des modifications non-locales de la Relativité Générale dans lesquselles la gravité n'est pas forcément massive, mais où la cosmologie reproduit les observations actuelles.La structure dynamique d'une théorie des champs non-locale présente quelques subtilités par rapport aux théories locales, et ne pas en tenir compte peut nous menerà conclusions erronées. Nous commençons donc par l'étude de la dynamique des théories de jauge massives, linéaires et locales, sous plusieurs angles différents, afin de mettre en avant les propriétés qui ne seront pas exportables dans le cas non-local. Nous en profitons pour discuter un aspect intéressant de la théorie linéaire d'un champ massif de spin-2, qui consiste en une symétrie de jauge cachée dans le secteur scalaire. Elle n'apparaît que lorsque les champs non-dynamiques sontéliminésà travers leuréquations du mouvement et, en ce sens, elle correspondà une symétrie de la physique, mais pasà une symétrie de l'action.Nous terminons l'étude des théories massives locales linéaires en les reformulant en tant que théories massives non-locales mais invariantes de jauge,à travers le formalisme de Stückelberg. Ceci constitue notre premier pas dans les théories non-locales, même si en l'occurrence la non-localité n'est qu'apparante et disparaît avec un choix de jauge approprié. Cependant, la technologie ainsi développée nous permet de définir une théorie d'un champ spin-2 massif linaire réellement non-locale et invariante de jauge.Suiteà cela nous faisons une pause pour discuter en profondeur les subtilités des théories non-locales susmentionnées. La première est que deséquations non-locales et causales ne peuvent pasêtre obtenuesà travers le principe variationnel standard appliquéà une action non-locale, mais qu'il existe cependant un principe variationnel plus général qui fait l'affaire. Ensuite,à travers un processus de loca...

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Section: Brief Historymentioning

confidence: 96%

Infrared Non-local Modifications of General Relativity

Mitsou¹

2016

Springer Theses

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“…Interestingly, massive gravity admits self-accelerating solutions in which the de Sitter Hubble factor is of order the mass of the graviton. Since having a light graviton is technically natural [214,631,632], such a solution is of great interest in the late-time universe as a candidate explanation for cosmic acceleration.…”

Section: The Vainshtein Mechanism: Massive Gravitymentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond Λ or smooth dark energy, often called modified gravity, has led to broader insights into a path forward, and a host of observational and experimental tests have been developed. In this review we present the current state of the field and describe a framework for anticipating developments in the next decade. We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.We begin by reviewing recent attempts to consistently modify Einstein gravity in the infrared, focusing on the notion that additional degrees of freedom introduced by the modification must "screen" themselves from local tests of gravity. We categorize screening mechanisms into three broad classes: mechanisms which become active in regions of high Newtonian potential, those in which first derivatives of the field become important, and those for which second derivatives of the field are important. Examples of the first class, such as f (R) gravity, employ the familiar chameleon or symmetron mechanisms, whereas examples of the last class are galileon and massive gravity theories, employing the Vainshtein mechanism. In each case, we describe the theories as effective theories and discuss prospects for completion in a more fundamental theory. We describe experimental tests of each class of theories, summarizing laboratory and solar system tests and describing in some detail astrophysical and cosmological tests. Finally, we discuss prospects for future tests which will be sensitive to different signatures of new physics in the gravitational sector.The review is structured so that those parts that are more relevant to theorists vs. observers/experimentalists are clearly indicated, in the hope that this will serve as a useful reference for both audiences, as well as helping those interested in bridging the gap between them.

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“…On an inhomogeneous background, quantum corrections to Galilean theories are suppressed by a scale that increases with increasing inhomogeneities [32,[35][36][37][38][39][40][41][42].…”

Section: Jcap12(2014)009mentioning

confidence: 99%

Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data

Germani¹,

Watanabe²,

Wintergerst³

2014

J. Cosmol. Astropart. Phys.

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In this paper we show that the Germani-Kehagias model of Higgs inflation (or New Higgs Inflation), where the Higgs boson is kinetically non-minimally coupled to the Einstein tensor is in perfect compatibility with the latest Planck and BICEP2 data. Moreover, we show that the tension between the Planck and BICEP2 data can be relieved within the New Higgs inflation scenario by a negative running of the spectral index. Regarding the unitarity of the model, we argue that it is unitary throughout the evolution of the Universe. Weak couplings in the Higgs-Higgs and Higgs-graviton sectors are provided by a large background dependent cut-off scale during inflation. In the same regime, the W and Z gauge bosons acquire a very large mass, thus decouple. On the other hand, if they are also non-minimally coupled to the Higgs boson, their effective masses can be enormously reduced. In this case, the W and Z bosons are no longer decoupled. After inflation, the New Higgs model is well approximated by a quartic Galileon with a renormalizable potential. We argue that this can unitarily create the right conditions for inflation to eventually start.

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Quantum corrections in massive gravity

Cited by 115 publications

References 81 publications

Infrared Non-local Modifications of General Relativity

Infrared Non-local Modifications of General Relativity

Beyond the cosmological standard model

Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data

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