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A free-theory vacuum state of an interacting field theory, e.g. quantum gravity, is unstable at tree level in general due to spontaneous emission of Fock-space particles in any spacetime with no global timelike Killing vectors, such as de…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Atsushi Higuchi

In this article, we quantize the Maxwell ("massless spin one") de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO$_0(2,4)$ group and consequently under the de Sitter group. We obtain a new de…

General Relativity and Quantum Cosmology · Physics 2010-01-11 S. Faci , E. Huguet , J. Queva , J. Renaud

In this paper, admitting a de Sitter (dS)-invariant vacuum in an indefinite inner product space, we present a Gupta-Bleuler type setting for causal and full dS-covariant quantization of free "massless" spin-2 field in dS spacetime. The term…

General Relativity and Quantum Cosmology · Physics 2018-08-13 Hamed Pejhan , Kazuharu Bamba , Surena Rahbardehghan , Mohammad Enayati

Spatially homogeneous cosmological spacetimes, evolving in the presence of a positive cosmological constant and matter satisfying some reasonable energy conditions, typically approach the de Sitter geometry asymptotically (at least…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Aditya Sharma , Kinjal Banerjee , Jishnu Bhattacharyya

We propose in this paper a quantization scheme for real Klein-Gordon field in de Sitter spacetime. Our scheme is generally covariant with the help of vierbein, which is necessary usually for spinor field in curved spacetime. We first…

High Energy Physics - Theory · Physics 2023-09-06 Sze-Shiang Feng

We discuss the algebraic quantization of a real, massive scalar field in the Poincar\'e patch of the (d+1)-dimensional anti-de Sitter spacetime, with arbitrary boundary conditions. By using the functional formalism, we show that it is…

Mathematical Physics · Physics 2017-11-16 Claudio Dappiaggi , Hugo R. C. Ferreira

We present a complete study of a family of tachyonic scalar fields living on the de Sitter universe. We show that for an infinite set of discrete values of the negative squared mass the fields exhibit a gauge symmetry and there exists for…

High Energy Physics - Theory · Physics 2015-06-19 Henri Epstein , Ugo Moschella

A spatially flat Robertson-Walker spacetime driven by a cosmological constant is non-conformally coupled to a massless scalar field. The equations of semiclassical gravity are explicitly solved for this case, and a self-consistent de Sitter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Guillem Perez-Nadal , Albert Roura , Enric Verdaguer

A semi-classical analysis of vacuum energy in the expanding spacetime suggests that the cosmological term decays with time, with a concomitant matter production. For early times we find, in Planck units, $\Lambda \approx H^4$, where H is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Saulo Carneiro

The $\lambda \phi^4$ model in a finite volume is studied within a non-gaussian Hartree-Fock approximation (tdHF) both at equilibrium and out of equilibrium, with particular attention to the structure of the ground state and of certain…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Destri , E. Manfredini

In the last years the traditional scenario of Big Bang has been deeply modified by the study of the quantum features of the Universe evolution, proposing again the problem of using local physical laws on cosmic scale, with particular regard…

General Physics · Physics 2008-11-26 Ignazio Licata

It is commonly believed that a unitary supersymmetric quantum field theory (QFT) involving graviton and gravitino fields on fixed 4-dimensional de Sitter spacetime ($dS_4$) cannot exist due to known challenges associated with supersymmetry…

High Energy Physics - Theory · Physics 2025-11-20 Atsushi Higuchi , Vasileios A. Letsios

The energy-momentum tensor for a massless conformally coupled scalar field in de Sitter spacetime in the presence of a couple curved branes is investigated. We assume that the scalar field satisfies the Robin boundary condition on the…

High Energy Physics - Theory · Physics 2008-11-26 M R Setare

Using unitary irreducible representations of the de Sitter group, we construct the Fock space of a massive free scalar field. In this approach, the vacuum is the unique dS invariant state. The quantum field is a posteriori defined by an…

High Energy Physics - Theory · Physics 2016-09-06 E. Joung , J. Mourad , R. Parentani

We study strongly coupled mass-deformed-CFT on a fixed de Sitter spacetime in three dimensions via holography. We elucidate the global causal structure of the four-dimensional spacetime dual to the de Sitter invariant vacuum state. The…

High Energy Physics - Theory · Physics 2022-06-02 José Manuel Penín , Kostas Skenderis , Benjamin Withers

We consider the massless scalar field on the four-dimensional sphere $S^4$. Its classical action $S={1\over 2}\int_{S^4} dV (\nabla \phi)^2$ is degenerate under the global invariance $\phi \to \phi + \hbox{constant}$. We then quantize the…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antoine Folacci

We study symmetry breaking in the static coordinate-system of de Sitter space. This is done with the help of the functional-Schr\"odinger approach used in previous calculations by Ratra [1]. We consider a massless, minimally coupled scalar…

High Energy Physics - Theory · Physics 2016-09-06 András Kaiser , Alan Chodos

We describe the free Dirac field in a four dimensional spacetime as a locally covariant quantum field theory in the sense of Brunetti, Fredenhagen and Verch, using a representation independent construction. The freedom in the geometric…

Mathematical Physics · Physics 2010-10-20 Ko Sanders

We use a field theoretic generalization of the Wigner-Weisskopf method to study the stability of the Bunch-Davies vacuum state for a massless, conformally coupled interacting test field in de Sitter space. We find that in $\lambda \phi^4$…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-17 Daniel Boyanovsky , Richard Holman

Loop quantum cosmology was shown to interpolate between de Sitter and FLRW Universe phases through a bounce by including Euclidean and Lorentzian terms of the Hamiltonian constraint with weight one -that corresponding to classical General…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Omar Gallegos , Tonatiuh Matos , Hugo A. Morales-Técotl
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