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We compute the canonical partition function of 2+1 dimensional de Sitter space using the Euclidean $SU(2)\times SU(2)$ Chern-Simons formulation of 3d gravity with a positive cosmological constant. Firstly, we point out that one can work…

High Energy Physics - Theory · Physics 2009-10-31 Maximo Banados , Thorsten Brotz , Miguel Ortiz

It is shown that the de Sitter state is invariant with respect to Wick rotation. In imaginary time, super- horizon quantum and classical metric fluctuations of the empty FLRW space (with no matter fields) form a self-consistent de Sitter…

General Physics · Physics 2016-04-26 Leonid Marochnik

De Sitter spacetime can be separated into two parts along two kinds of hypersurfaces and the half-de Sitter spacetimes are covered by the planar and hyperbolic coordinates respectively. Two positive energy theorems were proved previously…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Zhuobin Liang , Xiao Zhang

We continue to investigate various instabilities of the fixed backgrounds related to the de Sitter space. It is shown that in many cases the in/in perturbation theory contains IR/UV mixing and thus is non-renormalizible. The application of…

High Energy Physics - Theory · Physics 2012-09-20 A. M. Polyakov

Recent no-go theorems have ruled out four-dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well-defined Wilsonian effective action and other related phenomena also appear to rule out such…

High Energy Physics - Theory · Physics 2024-10-08 Stephon Alexander , Keshav Dasgupta , Archana Maji , P. Ramadevi , Radu Tatar

It is shown that for suitable roots of unity, there exist finite--dimensional unitary representations of $U_q(so(2,3))$ corresponding to all classical one-particle representations with (half)integer spin, with the correct low-energy limit.…

q-alg · Mathematics 2007-05-23 Harold Steinacker

A novel nonlocal four-photon interaction on the deformed spacetime is derived and studied in the three selected models (I, II, III). The first two models (I, II) are obtained via two distinct second-order $\theta$-exact Seiberg-Witten maps…

High Energy Physics - Theory · Physics 2016-01-20 Raul Horvat , Josip Trampetić , Jiangyang You

We consider Schwinger pair production in 1+1 dimensional de Sitter space, filled with a constant electric field $E$. This can be thought of as a model for describing false vacuum decay beyond the semiclassical approximation, where pairs of…

High Energy Physics - Theory · Physics 2015-06-18 Markus B. Fröb , Jaume Garriga , Sugumi Kanno , Misao Sasaki , Jiro Soda , Takahiro Tanaka , Alexander Vilenkin

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

Spatially homogeneous cosmological spacetimes, evolving in the presence of a positive cosmological constant and matter satisfying some reasonable energy conditions, typically approach the de Sitter geometry asymptotically (at least…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Aditya Sharma , Kinjal Banerjee , Jishnu Bhattacharyya

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

It is found that de-Sitter spacetime, the constant-curvature matter-free solution of the Einstein equations with a positive cosmological constant, becomes classically unstable due to the dynamic effects of a certain type of vector field…

General Relativity and Quantum Cosmology · Physics 2015-06-04 V. Emelyanov , F. R. Klinkhamer

We investigate the possibility that, in a combined theory of quantum mechanics and gravity, de Sitter space is described by finitely many states. The notion of observer complementarity, which states that each observer has complete but…

High Energy Physics - Theory · Physics 2009-11-10 Maulik K. Parikh , Erik P. Verlinde

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

The issue of de Sitter invariance for a massless minimally coupled scalar field is revisited. Formally, it is possible to construct a de Sitter invariant state for this case provided that the zero mode of the field is quantized properly.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Klaus Kirsten , Jaume Garriga

Our main goal here is to provide an introduction on some of the well established properties of the representation theory of SO(d+1,1), for those considering to think on physical problems set in de Sitter space in terms of these…

High Energy Physics - Theory · Physics 2022-12-01 Gizem Sengor

We provide further evidence to support the fact that a four-dimensional effective field theory description with de Sitter isometries in IIB string theory, overcoming the no-go and the swampland criteria, can only exist if de Sitter space is…

High Energy Physics - Theory · Physics 2021-11-23 Heliudson Bernardo , Suddhasattwa Brahma , Keshav Dasgupta , Mir-Mehedi Faruk , Radu Tatar

We consider a free particle in a de Sitter spacetime. We use a picture in which the analogs of the Schr\"odinger operators of the particle are independent of both the time and the space coordinates. These operators induce operators which…

High Energy Physics - Theory · Physics 2014-11-26 Rudolf A. Frick

We calculate the one-loop vacuum polarization tensor of scalar electrodynamics in a locally de Sitter space-time, endowed with a nearly minimally coupled, light scalar field. We show that the photon dynamics is well approximated by a…

Astrophysics · Physics 2009-11-10 Tomislav Prokopec , Ewald Puchwein

We extended the notion of Newton-Wigner localization, already constructed in the bi-dimensional de Sitter space, to the tri-dimensional case for both principal and complementary series. We identify the one-particle subspace, generated by…

Mathematical Physics · Physics 2024-04-30 T. Raszeja , J. C. A. Barata