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We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the K\"all\'en-Lehmann spectral decomposition for any spin and show that unitarity implies its spectral densities are…

High Energy Physics - Theory · Physics 2025-07-10 Manuel Loparco , Joao Penedones , Kamran Salehi Vaziri , Zimo Sun

We discuss the quantization of a scalar particle moving in two-dimensional de Sitter space. We construct the conformal quantum mechanical model on the asymptotic boundary of de Sitter space in the infinite past. We obtain explicit…

High Energy Physics - Theory · Physics 2009-11-07 Scott Ness , George Siopsis

We present a covariant quantization of the "massive" spin-${\frac{3}{2}}$ Rarita-Schwinger field in de Sitter (dS) spacetime. The dS group representation theory and its Wigner interpretation combined with the Wightman-G$\mbox{\"{a}}$rding…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Hamed Pejhan , Mohammad Enayati , Jean-Pierre Gazeau , Anzhong Wang

New spherical scalar modes on the expanding part of Sitter spacetime, eigenfunctions of a conserved Hamiltonian-like operator are found by solving the Klein-Gordon equation in the appropriate coordinate chart, with the help of a time…

General Relativity and Quantum Cosmology · Physics 2012-09-24 Gabriel Pascu

We develop a formalism for computing the scattering amplitudes in maximally symmetric de Sitter spacetime with compact spatial dimensions. We describe quantum states by using the representation theory of de Sitter symmetry group and link…

High Energy Physics - Theory · Physics 2025-07-18 Tomasz R. Taylor , Bin Zhu

We present a covariant quantization scheme for the so-called "partially massless" graviton field in de Sitter spacetime. Our approach is founded on the principles of the de Sitter group representation theory (in the sense given by Wigner),…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Jean-Pierre Gazeau , Hamed Pejhan

Relativistic spin-1/2 particles in curved spacetime are naturally described by Dirac theory, which is a dynamical and Lorentz-invariant field theory. In this work, we propose a non-dynamical fermion theory in 3+1 dimensions dubbed spinor…

High Energy Physics - Theory · Physics 2016-07-20 Giandomenico Palumbo

The general structure of the conformal boundary $\mathscr{I}^+$ of asymptotically de Sitter spacetimes is investigated. First we show that Penrose's quasi-local mass, associated with a cut ${\cal S}$ of the conformal boundary, can be zero…

General Relativity and Quantum Cosmology · Physics 2015-10-07 László B Szabados , Paul Tod

We find exact solutions to the Dirac equation in D-dimensional de Sitter spacetime. Using these solutions we analytically calculate the de Sitter quasinormal (QN) frequencies of the Dirac field. For the massive Dirac field this computation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Lopez-Ortega

We study the massless minimally coupled scalar field on a two--dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zero--mass limit…

Mathematical Physics · Physics 2015-06-26 Marco Bertola , Francesco Corbetta , Ugo Moschella

We construct the graviton two-point function for a two-parameter family of linear covariant gauges in n-dimensional de Sitter space. The construction is performed via the mode-sum method in the Bunch-Davies vacuum in the Poincar\'e patch,…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Markus B. Fröb , Atsushi Higuchi , William C. C. Lima

Quantization of spinor and vector free fields in 4-dimensional de Sitter space-time, in the ambient space notation, has been studied in the previous works. Various two-points functions for the above fields are presented in this paper. The…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shahriar Rouhani , Mohammad Vahid Takook

In this paper, we compute the effective action of both a scalar field and a Dirac spinor field in the global de Sitter space of any dimension $d$ using the in-/out-state formalism. We show that there is particle production in even…

High Energy Physics - Theory · Physics 2020-06-08 Jiaqi Jiang

An analogue of the Newton-Wigner position operator is defined for a massive neutral scalar field in de Sitter space. The one-particle subspace of the theory, consisting of positive-energy solutions of the Klein-Gordon equation selected by…

High Energy Physics - Theory · Physics 2015-05-20 N. Yokomizo , J. C. A. Barata

In our previous article [Letsios 2023 J. High Energ. Phys. JHEP05(2023)015], we showed that the strictly massless spin-3/2 field, as well as the strictly and partially massless spin-5/2 fields, on $N$-dimensional ($N \geq 3 $) de Sitter…

High Energy Physics - Theory · Physics 2024-11-21 Vasileios A. Letsios

We study the classical and quantum cosmology of a universe in which the matter source is a massive Dirac spinor field and consider cases where such fields are either free or self-interacting. We focus attention on the spatially flat…

General Relativity and Quantum Cosmology · Physics 2009-11-11 B. Vakili , S. Jalalzadeh , H. R. Sepangi

We consider an $O(N)$ scalar field model with quartic interaction in $d$-dimensional Euclidean de Sitter space. In order to avoid the problems of the standard perturbative calculations for light and massless fields, we generalize to the…

High Energy Physics - Theory · Physics 2016-09-22 Diana López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

We show that the warped de Sitter compactifications are possible under certain conditions in D-dimensional gravitational theory coupled to a dilaton, a form field strength, and a cosmological constant. We find that the solutions of field…

High Energy Physics - Theory · Physics 2015-05-27 Masato Minamitsuji , Kunihito Uzawa

We obtain solutions of the Wheeler-DeWitt equation with positive cosmological constant for a closed universe in the large-volume limit. We argue that this space of solutions provides a complete basis for the Hilbert space of quantum gravity…

High Energy Physics - Theory · Physics 2023-08-15 Tuneer Chakraborty , Joydeep Chakravarty , Victor Godet , Priyadarshi Paul , Suvrat Raju

We derive the asymptotic solutions for vacuum spacetimes with non-zero cosmological constant $\Lambda$, using the Newman-Penrose formalism. Our approach is based exclusively on the physical spacetime, i.e. we do not explicitly deal with…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Vee-Liem Saw