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Linearized gravitational waves in de Sitter space-time are analyzed in detail to obtain guidance for constructing the theory of gravitational radiation in presence of a positive cosmological constant in full, nonlinear general relativity.…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan

The quantum break-time of a system is the time-scale after which its true quantum evolution departs from the classical mean field evolution. For capturing it, a quantum resolution of the classical background - e.g., in terms of a coherent…

High Energy Physics - Theory · Physics 2017-11-01 Gia Dvali , Cesar Gomez , Sebastian Zell

One of the remarkable outcomes of the AdS/CFT correspondence has been the generalization of Cardy's entropy formula for arbitrary dimensionality, as well as a variety of anti-de Sitter scenarios. More recently, related work has been done in…

High Energy Physics - Theory · Physics 2009-11-07 A. J. M. Medved

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths…

High Energy Physics - Theory · Physics 2017-08-24 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

Quantum de Sitter geometry is discussed using elementary field operator algebras in Krein space quantization from an observer-independent point of view, {\it i.e.} ambient space formalism. In quantum geometry, the conformal sector of the…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Mohammad Vahid Takook

We construct a natural and nonperturbative momentum space for quantum field theory on $(d+1)$-dimensional de Sitter (dS) spacetime in the Poincar\'e slicing, adapted to early Universe cosmology. In particular, we identify the dS frequency…

High Energy Physics - Theory · Physics 2026-04-20 Nathan Belrhali , Arthur Poisson , Sébastien Renaux-Petel , Denis Werth

This paper deals with some two-parameter solutions to the spherically symmetric, vacuum Einstein equations which, we argue, are more general than de Sitter solution. The global structure of one such spacetimes and its extension to the…

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

We give a definition of mass for spacelike hypersurfaces in space-times with metrics which are asymptotic to the anti-de Sitter one, or to a class of generalizations thereof. We present the results of gr-qc/0110014 which show that our…

High Energy Physics - Theory · Physics 2010-04-06 Piotr T. Chrusciel , Gabriel Nagy

We study the cylinder-plate and the cylinder-cylinder Casimir interaction in the $(D+1)$-dimensional Minkowski spacetime due to the vacuum fluctuations of massless scalar fields. Different combinations of Dirichlet (D) and Neumann (N)…

High Energy Physics - Theory · Physics 2015-05-20 L. P. Teo

We study various bubble solutions in string/M theories obtained by double Wick rotations of (non-)extremal brane configurations. Typically, the geometry interpolates de Sitter space-time times non-compact extra-dimensional space in the…

High Energy Physics - Theory · Physics 2007-05-23 Jin-Ho Cho , Soonkeon Nam

We study the decomposition of the Hilbert space of quantum field theory in $(d+1)$ dimensional de Sitter spacetime into Unitary Irreducible Representations (UIRs) of its isometry group \SO$(1,d+1)$. Firstly, we consider multi-particle…

High Energy Physics - Theory · Physics 2023-06-26 Joao Penedones , Kamran Salehi Vaziri , Zimo Sun

The classical Bondi-Penrose approach to the gravitational radiation theory in asymptotically flat spacetimes is recalled and recent advances in the proofs of the existence of such spacetimes are briefly reviewed. We then mention the unique…

General Relativity and Quantum Cosmology · Physics 2017-08-23 J. Bicak , P. Krtous

We propose a new deformed Rieffel product for functions in de Sitter spacetime, and study the resulting deformation of quantum field theory in de Sitter using warped convolutions. This deformation is obtained by embedding de Sitter in a…

High Energy Physics - Theory · Physics 2021-06-15 M. B. Fröb , A. Much

We investigate de Sitter/conformal field theory (dS/CFT) correspondence in two dimensions. We define the conserved mass of de Sitter spacetime and formulate the correspondence along the lines of anti-de Sitter/conformal field theory…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , M. Cavaglia' , S. Mignemi

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

Before we ask what the quantum gravity theory is, it is a legitimate quest to formulate a robust quantum field theory in curved spacetime (QFTCS). Several conceptual problems, especially unitarity loss (pure states evolving into mixed…

High Energy Physics - Theory · Physics 2024-12-31 K. Sravan Kumar , João Marto

The scalar and electromagnetic fields of charges uniformly accelerated in de Sitter spacetime are constructed. They represent the generalization of the Born solutions describing fields of two particles with hyperbolic motion in flat…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jiri Bicak , Pavel Krtous

Continuous symmetries generated with observables of a quantum theory in the Minkowski spacetime are discussed. An example of an originated in this way algebra of observables is the algebra of observables of the canonical quantum theory,…

Mathematical Physics · Physics 2008-07-17 V. V. Khruschov

Perturbative quantum field theory (QFT) calculations in de Sitter space are riddled with contributions that diverge over time. These contributions often arise from loop integrals, which are notoriously hard to compute in de Sitter. We…

High Energy Physics - Theory · Physics 2024-02-05 Akhil Premkumar

In terms of the Beltrami model of de Sitter space we show that there is an interchangeable relation between Snyder's quantized space-time model in dS-space of momenta at the Planck length $\ell_P=(G\hbar c^{-3})^{1/2}$ and the dS-invariant…

High Energy Physics - Theory · Physics 2007-05-23 Han-Ying Guo