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The quantization of the massless minimally coupled (mmc) scalar field in de Sitter spacetime is known to be a non-trivial problem due to the appearance of strong infrared (IR) effects. In particular, the scale-invariance of the CMB…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Ahmed Youssef

Using a metric conformal formulation of the Einstein equations, we develop a construction of 4-dimensional anti-de Sitter-like spacetimes coupled to tracefree matter models. Our strategy relies on the formulation of an initial-boundary…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Diego A. Carranza , Juan A. Valiente Kroon

It has been proposed that a hidden conformal field theory (CFT) governs the dynamics of low frequency scattering in a general Kerr black hole background. We further investigate this correspondence by mapping higher order corrections to the…

High Energy Physics - Theory · Physics 2011-08-08 David A. Lowe , Ilies Messamah , Antun Skanata

We use the spectral representation of the stochastic Starobinsky-Yokoyama approach to compute correlation functions in de Sitter space for a scalar field with a symmetric or asymmetric double-well potential. The terms in the spectral…

General Relativity and Quantum Cosmology · Physics 2020-03-26 Tommi Markkanen , Arttu Rajantie

We apply Christodoulou's framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Joao L. Costa , Artur Alho , Jose Natario

We study the effects of a fixed de Sitter geometry background in scenarios of false vacuum decay. It is currently understood that bubble nucleation processes associated with first order phase transitions are particularly important in…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Juan S. Cruz , Stephan Brandt , Maximilian Urban

This paper investigates the late-time behaviour of certain cosmological models where oscillations play an essential role. Rigorous results are proved on the asymptotics of homogeneous and isotropic spacetimes with a linear massive scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alan D. Rendall

In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the conformal Killing vectors of the conformally flat…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Glenn Barnich , Friedemann Brandt , Kim Claes

Critical collapse of a massless scalar field in spherical symmetry is systematically studied. We combine numerical simulations and asymptotic analysis, and synthesize critical collapse, spacetime singularities, and complex science. First…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Jun-Qi Guo , Hongsheng Zhang

The decay rate of the Bunch-Davies state of a massive scalar field in the expanding flat spatial sections of de Sitter space is determined by an analysis of the particle pair creation process in real time. The Feynman definition of particle…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Paul R. Anderson , Emil Mottola , Dillon H. Sanders

We consider a model quantum field theory with a scalar quantum field in de Sitter space-time in a Bohmian version with a field ontology, i.e., an actual field configuration $\varphi({\bf x},t)$ guided by a wave function on the space of…

Quantum Physics · Physics 2016-06-07 Roderich Tumulka

It is presented a thorough analysis of scalar perturbations in the background of Gauss-Bonnet, Gauss-Bonnet-de Sitter and Gauss-Bonnet-anti-de Sitter black hole spacetimes. The perturbations are considered both in frequency and time domain.…

High Energy Physics - Theory · Physics 2009-11-11 E. Abdalla , R. A. Konoplya , C. Molina

We study QED$_2$ in de Sitter space as a minimal interacting gauge theory in which cosmological expansion directly competes with quantum dynamics. In cosmic time, the hopping redshifts as $1/a(t)$ while the electric term grows as $g^2…

High Energy Physics - Theory · Physics 2026-04-06 Kazuki Ikeda , Yaron Oz

Classical gravity coupled to a CFT$_4$ (matter) is considered. The effect of the quantum dynamics of matter on gravity is studied around maximally symmetric spaces (flat, de Sitter and Anti de Sitter). The structure of the graviton…

General Relativity and Quantum Cosmology · Physics 2023-12-11 Jewel K. Ghosh , Elias Kiritsis , Francesco Nitti , Valentin Nourry

According to the dS/CFT correspondence, correlators of fields generated during a primordial de Sitter phase are constrained by three-dimensional conformal invariance. Using the properties of radially quantized conformal field theories and…

High Energy Physics - Theory · Physics 2017-08-02 Alex Kehagias , Antonio Riotto

Massless minimally coupled quantum scalar field with an asymmetric self interaction, $V(\phi)=\lambda \phi^4/4!+ \beta \phi^3/3! $ (with $\lambda >0$) is considered in the $(3+1)$-dimensional inflationary de Sitter spacetime. This potential…

High Energy Physics - Theory · Physics 2022-09-21 Sourav Bhattacharya

An important insight from the study of AdS/CFT is that bulk locality can be derived from crossing symmetry of the boundary CFT. In this paper, we take the first steps in extending this statement to de Sitter background by demonstrating how…

High Energy Physics - Theory · Physics 2025-08-22 Parijat Dey , Zhongjie Huang , Arthur Lipstein

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

Electrodynamics for self-interacting scalar fields in spatially flat Friedmann-Robertson-Walker space-times is studied. The corresponding one-loop field equation for the expectation value of the complex scalar field in the conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Gennaro Miele , Luigi Rosa , Pietro Santorelli

The infrared dynamics of a minimally coupled scalar field in de Sitter spacetime can be described as Brownian motion of a particle in a medium of de Sitter temperature $T_{DS}=\frac{H}{2\pi}$. The system obeys a fluctuation-dissipation…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-02 Gerasimos Rigopoulos