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Search Results (4)

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Keywords = Stückelberg function

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18 pages, 353 KB  
Article
Massive Graviton from Diffeomorphism Invariance
by João M. L. de Freitas and Iberê Kuntz
Universe 2025, 11(7), 219; https://doi.org/10.3390/universe11070219 - 2 Jul 2025
Cited by 6 | Viewed by 1411
Abstract
In this work, we undertake a comprehensive study of the functional measure of gravitational path integrals within a general framework involving non-trivial configuration spaces. As in Riemannian geometry, the integration over non-trival configuration spaces requires a metric. We examine the interplay between the [...] Read more.
In this work, we undertake a comprehensive study of the functional measure of gravitational path integrals within a general framework involving non-trivial configuration spaces. As in Riemannian geometry, the integration over non-trival configuration spaces requires a metric. We examine the interplay between the functional measure and the dynamics of spacetime for general configuration-space metrics. The functional measure gives an exact contribution to the effective action at the one-loop level. We discuss the implications and phenomenological consequences of this correction, shedding light on the role of the functional measure in quantum gravity theories. In particular, we describe a mechanism in which the graviton acquires a mass from the functional measure without violating the diffeomorphism symmetry nor including Stückelberg fields. Since gauge invariance is not violated, the number of degrees of freedom goes as in general relativity. For the same reason, Boulware–Deser ghosts and the vDVZ discontinuity do not show up. The graviton thus becomes massive at the quantum level while avoiding the usual issues of massive gravity. Full article
(This article belongs to the Section Gravitation)
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24 pages, 656 KB  
Article
The Dynamical Origin of the Graviton Mass in the Non-Linear Theory of Massive Gravity
by Ivan Arraut
Universe 2019, 5(7), 166; https://doi.org/10.3390/universe5070166 - 6 Jul 2019
Cited by 4 | Viewed by 3820
Abstract
We compare the standard Higgs mechanism corresponding to the scalar field, with the dynamical origin of the graviton mass inside the scenario of the dRGT theory of massive gravity. We demonstrate that the effective mass perceived locally by different observers depends on how [...] Read more.
We compare the standard Higgs mechanism corresponding to the scalar field, with the dynamical origin of the graviton mass inside the scenario of the dRGT theory of massive gravity. We demonstrate that the effective mass perceived locally by different observers depends on how they define the local time with respect to the preferred notion of time defined by the Stückelberg function T 0 ( r , t ) . Full article
(This article belongs to the Special Issue Theories of Gravity: Alternatives to the Cosmological and Particle Standard Models)
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77 pages, 654 KB  
Article
Cosmic Microwave Background from Effective Field Theory
by Sayantan Choudhury
Universe 2019, 5(6), 155; https://doi.org/10.3390/universe5060155 - 19 Jun 2019
Cited by 29 | Viewed by 3231
Abstract
In this work, we study the key role of generic Effective Field Theory (EFT) framework to quantify the correlation functions in a quasi de Sitter background for an arbitrary initial choice of the quantum vacuum state. We perform the computation in unitary gauge, [...] Read more.
In this work, we study the key role of generic Effective Field Theory (EFT) framework to quantify the correlation functions in a quasi de Sitter background for an arbitrary initial choice of the quantum vacuum state. We perform the computation in unitary gauge, in which we apply the Stückelberg trick in lowest dimensional EFT operators which are broken under time diffeomorphism. In particular, using this non-linear realization of broken time diffeomorphism and truncating the action by considering the contribution from two derivative terms in the metric, we compute the two-point and three-point correlations from scalar perturbations and two-point correlation from tensor perturbations to quantify the quantum fluctuations observed in the Cosmic Microwave Background (CMB) map. We also use equilateral limit and squeezed limit configurations for the scalar three-point correlations in Fourier space. To give future predictions from EFT setup and to check the consistency of our derived results for correlations, we use the results obtained from all classes of the canonical single-field and general single-field P ( X , ϕ ) model. This analysis helps us to fix the coefficients of the relevant operators in EFT in terms of the slow-roll parameters and effective sound speed. Finally, using CMB observations from Planck we constrain all these coefficients of EFT operators for the single-field slow-roll inflationary paradigm. Full article
(This article belongs to the Special Issue The Cosmological Constant Puzzle)
20 pages, 313 KB  
Article
The Astrophysical Scales Set by the Cosmological Constant, Black-Hole Thermodynamics and Non-Linear Massive Gravity
by Ivan Arraut
Universe 2017, 3(2), 45; https://doi.org/10.3390/universe3020045 - 10 May 2017
Cited by 22 | Viewed by 4083
Abstract
We calculate explicitly the black-hole temperature for the Schwarzschild de-Sitter solution inside massive gravity by defining the Killing-vector in the direction of the Stückelberg function. We then consider the conditions which an observer in massive gravity has to obey in order to agree [...] Read more.
We calculate explicitly the black-hole temperature for the Schwarzschild de-Sitter solution inside massive gravity by defining the Killing-vector in the direction of the Stückelberg function. We then consider the conditions which an observer in massive gravity has to obey in order to agree with the standard results of General Relativity. Full article
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