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The group theoretical approach to the relativistic wave equations in the de Sitter and Anti-de Sitter spaces for spin~0 and 1/2 massive particles is considered. The invariant wave equations which determines the appropriate irreducible…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Semyon Pol'shin

We study a class of three-point functions on the de Sitter universe and on the asymptotic cone. A blending of geometrical ideas and analytic methods is used to compute some remarkable integrals, on the basis of a generalized star-triangle…

High Energy Physics - Theory · Physics 2010-02-11 Jacques Bros , Henri Epstein , Michel Gaudin , Ugo Moschella , Vincent Pasquier

We give general arguments that any interacting non--conformal {\it classical} field theory in de Sitter space leads to the possibility of constructing a perpetuum mobile. The arguments are based on the observation that massive free falling…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emil T. Akhmedov , P. V. Buividovich , Douglas A. Singleton

We study particle decay in de Sitter space-time as given by first order perturbation theory in a Lagrangian interacting quantum field theory. We study in detail the adiabatic limit of the perturbative amplitude and compute the "phase space"…

High Energy Physics - Theory · Physics 2014-11-18 Jacques Bros , Henri Epstein , Ugo Moschella

We consider quantum field theory in de Sitter space, focusing on the cases of scalars, spin 1/2 fields, and symmetric and anti-symmetric tensor fields of arbitrary spin. The free field equations in global coordinates can be reduced to a one…

High Energy Physics - Theory · Physics 2011-06-16 Philip Lagogiannis , Alexander Maloney , Yi Wang

There have been many attempts to construct de Sitter space-times in string theory. While arguably there have been some successes, this has proven challenging, leading to the de Sitter swampland conjecture: quantum theories of gravity do not…

High Energy Physics - Theory · Physics 2021-02-10 Michael Dine , Jamie A. P. Law-Smith , Shijun Sun , Duncan Wood , Yan Yu

We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special…

High Energy Physics - Theory · Physics 2018-01-03 E. T. Akhmedov

We investigate the phenomenon of particle production in a Friedmann-Robertson-Walker universe which contains a phase of de Sitter expansion for a finite interval, outside which it reduces to the flat Minkowski spacetime. We compute the…

High Energy Physics - Theory · Physics 2017-01-24 Victor E. Ambrus

Brane-world models where observers are trapped within the thickness of a 3-brane offer novel perspectives on gravitation and cosmology. In this essay, I would argue that the problem of a late epoch acceleration of the universe is well…

General Relativity and Quantum Cosmology · Physics 2012-02-20 Ishwaree P. Neupane

Three possible techniques to deal with a vector particle in the anti de Sitter cosmological model are viewed: Duffin-Kemmer-Petiau matrix formalism based on the general tetrad recipe, group theory 5-dimensional approach based on the…

Mathematical Physics · Physics 2011-09-05 E. M. Ovsiyuk , V. M. Red'kov

Recently, in Ref.\cite{moh1}, we introduced exited-de Sitter modes to study the power spectrum which was finite in Krein space quantization and the trans-Plankian corrections due to the exited modes were non-linear. It was shown that the de…

High Energy Physics - Theory · Physics 2023-07-19 M. Mohsenzadeh , E. Yusofi

This paper explores infrared quantum effects in the de Sitter space. The notion of "eternal manifolds" is introduced and it is shown that in most cases the de Sitter space doesn't belong to this class. It is unstable under small…

High Energy Physics - Theory · Physics 2008-11-26 A. M. Polyakov

The cosmological particle production in a $k=0$ expanding de Sitter universe with a Hubble parameter $H_0$ is considered for various values of mass or conformal coupling of a free, scalar field. One finds that, for a minimally coupled field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Milan Mijic

We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter…

High Energy Physics - Theory · Physics 2025-03-13 Thomas Hertog , Gabriele Tartaglino-Mazzucchelli , Thomas Van Riet , Victoria Venken

This paper deals with a study of the effects that spherically symmetric first-order metric perturbations and vacuum quantum fluctuations have on the stability of the multiply connected de Sitter spacetime recently proposed by Gott and Li.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Pedro F. Gonzalez-Diaz

We present the dictionary between the one-particle Hilbert spaces of totally symmetric tensor-spinor fields of spin $s={3}/{2}, {5}/{2}$ with any mass parameter on $D$-dimensional ($D \geq 3$) de Sitter space ($dS_{D}$) and Unitary…

High Energy Physics - Theory · Physics 2025-12-16 Vasileios A. Letsios

We study the braneworld theory constructed by multi scalar fields. The model contains a smooth and infinitely large extra dimension, allowing the background fields propagating in it. We give a de Sitter solution for the four-dimensional…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Dong-Yu Li , Zhao-Xiang Wu , Hao Hu , Bao-Min Gu

We construct wavepackets on de Sitter spacetime, with masses consistently defined from the eigenvalues of an irreducible representation of a Casimir element in the universal enveloping algebra of the Lorentz algebra and analyse their…

Mathematical Physics · Physics 2019-08-19 João C. A. Barata , Marcos Brum

Classical gravity coupled to a CFT$_4$ (matter) is considered. The effect of the quantum dynamics of matter on gravity is studied around maximally symmetric spaces (flat, de Sitter and Anti de Sitter). The structure of the graviton…

General Relativity and Quantum Cosmology · Physics 2023-12-11 Jewel K. Ghosh , Elias Kiritsis , Francesco Nitti , Valentin Nourry

We treat a model in which tensor perturbations of de~Sitter spacetime, represented as a spatially flat model, are modified by the effects of the vacuum fluctuations of a massless conformally invariant field, such as the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Jen-Tsung Hsiang , L. H. Ford , Da-Shin Lee , Hoi-Lai Yu