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We develop the basics of twistor theory in de Sitter space, up to the Penrose transform for free massless fields. We treat de Sitter space as fundamental, as one does for Minkowski space in conventional introductions to twistor theory. This…

High Energy Physics - Theory · Physics 2016-05-24 Yasha Neiman

The generalized connections of the (anti)-de Sitter space symmetry algebra, which are differential forms of arbitrary degree with values in any irreducible (spin)-tensor representation of the (anti)-de Sitter algebra, are studied. It is…

High Energy Physics - Theory · Physics 2009-09-28 E. D. Skvortsov

The Wightman function and the vacuum expectation values of the field squared and of the energy-momentum tensor are obtained, for a massive scalar field with an arbitrary curvature coupling parameter, in the region between two infinite…

High Energy Physics - Theory · Physics 2013-05-29 E. Elizalde , A. A. Saharian , T. A. Vardanyan

We study the quantum-mechanical generation of gravitational waves during inflation on a brane embedded in a five-dimensional anti-de Sitter bulk. To make the problem well-posed, we consider the setup in which both initial and final phases…

High Energy Physics - Theory · Physics 2009-11-11 Tsutomu Kobayashi , Takahiro Tanaka

The existence of de-Sitter solutions and their stability within string theory became, in recent years, one of the central research questions within the string theory community. The so-called de-Sitter conjecture states that the de-Sitter…

High Energy Physics - Theory · Physics 2022-11-30 Przemysław Bieniek , Jan Chojnacki , Jan H. Kwapisz , Krzysztof A. Meissner

We discuss the spectrum of the tensor metric perturbations and the stability of warped compactifications with the de Sitter spacetime in the higher-dimensional gravity. The spacetime structure is given in terms of the warped product of the…

High Energy Physics - Theory · Physics 2017-08-23 Masato Minamitsuji , Kunihito Uzawa

Observational evidence suggests that our universe is currently evolving towards an asymptotically de Sitter future. Unfortunately and in spite of much recent attention, various quantum, holographic and cosmological aspects of de Sitter…

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

Some form of approximately exponential inflation is generally assumed to be the origin of our present universe. The inflation is thought to be driven by a scalar field potential where the field first slowly slides along the potential and…

General Relativity and Quantum Cosmology · Physics 2023-04-27 Gustaf Rydbeck

We study the instantons describing the production of particles at the ends of codimension-one objects (strings and struts) in $(2+1)$-dimensional Minkowski and de Sitter spaces. A Minkowskian background allows only for systems with…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Liam O'Brien , Lorenzo Sorbo

We present a new particle model that generalize for constant curvature space an infinite spin particle in flat space. The model is described by commuting Weyl spinor additional coordinates. It proved that such a model is consistent only in…

High Energy Physics - Theory · Physics 2024-05-07 I. L. Buchbinder , S. A. Fedoruk , A. P. Isaev , V. A. Krykhtin

This paper deals thoroughly with the scalar and electromagnetic fields of uniformly accelerated charges in de Sitter spacetime. It gives details and makes various extensions of our Physical Review Letter from 2002. The basic properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jiri Bicak , Pavel Krtous

Some general remarks are made about the quantum theory of scalar fields and the definition of momentum in curved space. Special emphasis is given to field theory in anti-de Sitter space, as it represents a maximally symmetric space-time of…

High Energy Physics - Theory · Physics 2008-02-03 Simon Davis

In the Emergent scenario, the Universe should evolve from a non-singular state replacing the typical singularity of General Relativity, for any initial condition. For the scalar field model in [1] we show that only a set of measure zero of…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Molly Burkmar , Marco Bruni

We show that an interacting spin-0 field on a de Sitter space background will break the underlying de Sitter symmetry. This is done first for a (1+1) de Sitter space where a boson-fermion correspondence permits us to solve certain…

High Energy Physics - Theory · Physics 2011-05-13 Myron Bander

de Sitter symmetry on quantum level implies that operators describing a given system satisfy commutation relations of the de Sitter algebra. This approach gives a new perspective on fundamental notions of quantum theory. We discuss…

High Energy Physics - Theory · Physics 2012-04-04 Felix M. Lev

We investigate scalar particle creation in a set of bouncing models where the bounce occurs due to quantum cosmological effects described by the Wheeler-DeWitt equation. The scalar field can be either conformally or minimally coupled to…

General Relativity and Quantum Cosmology · Physics 2017-02-03 Diogo C. F. Celani , Nelson Pinto-Neto , Sandro D. P. Vitenti

The role of quantum effects in brane-world cosmology is investigated. It is shown in time-independent formulation that quantum creation of deSitter branes in five-dimensional (A)dS bulk occurs with also account of brane quantum CFT…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

In this letter we study the problem of scalar particle production in external electric field in de Sitter geometry. The total probability is calculated using the previously obtained result in Ref.\cite{6} for transition amplitude in…

General Relativity and Quantum Cosmology · Physics 2017-02-23 Cosmin Crucean , Mihaela-Andreea Băloi

Recalling the universal covering group of de Sitter, the transformation properties of the spinor fields $\psi(x)$ and ${\bar\psi}(x)$, in the ambient space notation, are presented in this paper. The charge conjugation symmetry of the de…

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

Dirichlet walls -- timelike boundaries at finite distance from the bulk on which the induced metric is held fixed -- have been used to model AdS spacetimes with a finite cutoff. In the context of gauge/gravity duality, such models are often…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Tomas Andrade , William R. Kelly , Donald Marolf , Jorge E. Santos