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We quantize a massive scalar field in de Sitter spacetime and derive the S-matrix for the general interacting theory. Using the general boundary formulation of quantum field theory, we also propose a new type of S-matrix derived from the…

High Energy Physics - Theory · Physics 2010-10-07 Daniele Colosi

Horndeski models with a de Sitter critical point for any kind of material content may provide a mechanism to alleviate the cosmological constant problem. Moreover, they could allow us to understand the current accelerated expansion of the…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Prado Martin-Moruno , Nelson J. Nunes

A correct description of the past and the future event horizons for timelike geodesics in de Sitter space-time of the first kind is given.

Differential Geometry · Mathematics 2014-06-13 Valera Berestovskii , Irina Zubareva

We describe a procedure to deform the dynamics of a two-dimensional conformal net to possibly obtain a Haag-Kastler net on the de Sitter spacetime. The new dynamics is given by adding a primary field smeared on the time-zero circle to the…

Mathematical Physics · Physics 2023-07-19 Christian D. Jäkel , Yoh Tanimoto

Exact and explicit string solutions in de Sitter spacetime are found. (Here, the string equations reduce to a sinh-Gordon model). A new feature without flat spacetime analogy appears: starting with a single world-sheet, several (here two)…

High Energy Physics - Theory · Physics 2009-10-22 H. J. de Vega , A. V. Mikhailov , N. Sanchez

We compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions, with the field theory in the standard vacuum state.…

High Energy Physics - Theory · Physics 2015-06-11 Juan Maldacena , Guilherme L. Pimentel

An introduction to and a partial review of supergravity theories is given, insisting on concepts and on some important technical aspects. Topics covered include elements of global supersymmetry, a derivation of the simplest N=1 supergravity…

High Energy Physics - Theory · Physics 2015-09-04 Jean-Pierre Derendinger

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 address the following question: To what extent can a quantum field tell if it has been placed in de Sitter space? Our approach is to use the techniques of non-equilibrium quantum field theory to compute the time evolution of a state…

High Energy Physics - Theory · Physics 2015-03-05 Andreas Albrecht , R. Holman , Benoit J. Richard

The properties of Lorentz transformations in de Sitter relativity are studied. It is shown that, in addition to leaving invariant the velocity of light, they also leave invariant the length-scale related to the curvature of the de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-09-28 R. Aldrovandi , J. P. Beltran Almeida , C. S. O. Mayor , J. G. Pereira

A family of relativistic geometric models is defined as a generalization of the actual anti-de Sitter (1+1) model of the relativistic harmonic oscillator. It is shown that all these models lead to the usual harmonic oscillator in the…

Mathematical Physics · Physics 2009-10-30 Ion I. Cot{\u}aescu

A careful reduction of the three-dimensional gravity to the Liouville description is performed, where all gauge fixing and on-shell conditions come from the definition of asymptotic de Sitter spaces. The roles of both past and future…

High Energy Physics - Theory · Physics 2009-11-07 Bruno Carneiro da Cunha

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

When de Sitter first introduced his celebrated spacetime, he claimed, following Schwarzschild, that its spatial sections have the topology of the real projective space RP^3 (that is, the topology of the group manifold SO(3)) rather than, as…

High Energy Physics - Theory · Physics 2010-12-23 Brett McInnes

All differences between the role of space and time in nature are explained by proposing the principles in which none of the spacetime coordinates has an {\it a priori} special role. Spacetime is treated as a non-dynamical manifold, with a…

General Relativity and Quantum Cosmology · Physics 2023-04-25 Hrvoje Nikolic

There is a one-to-one correspondence between Snyder's model in de Sitter space of momenta and the \dS-invariant special relativity. This indicates that physics at the Planck length $\ell_P$ and the scale $R=3/\Lambda$ should be dual to each…

High Energy Physics - Theory · Physics 2008-11-26 Han-Ying Guo , Chao-Guang Huang , Yu Tian , Zhan Xu , Bin Zhou

We obtain conditions for the existence and stability of de Sitter attractors in the phase space of spatially homogeneous and isotropic cosmology in generalized theories of gravity (including non-linear and scalar-tensor theories). These…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Valerio Faraoni

(from the talk:) I shall here speak on gravity in (1+1)-dimensional space-time --- lineal gravity. The purpose of studying lower dimensional theories, and specifically lower dimensional gravity, is to gain insight into difficult…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Jackiw

The spacetime short-distance structure at the Planck scale is governed by the Planck length, usually interpreted as a three-dimensional Euclidian length. As such, it is not Lorentz invariant and clashes with Einstein's special relativity,…

General Relativity and Quantum Cosmology · Physics 2024-03-21 A. V. Araujo , D. F. López , J. G. Pereira , J. R. Salazar

We study some aspects of the de Sitter version of Jackiw-Teitelboim gravity. Though we do not have propagating gravitons, we have a boundary mode when we compute observables with a fixed dilaton and metric at the boundary. We compute the…

High Energy Physics - Theory · Physics 2025-01-09 Juan Maldacena , Gustavo J. Turiaci , Zhenbin Yang