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It is possible to associate temperatures with the non-extremal horizons of a large class of spherically symmetric spacetimes using periodicity in the Euclidean sector and this procedure works for the de Sitter spacetime as well. But, unlike…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Suprit Singh , Chandrima Ganguly , T. Padmanabhan

Starting from the assumption that vacuum states in de Sitter space look for any geodesic observer like equilibrium states with some a priori arbitrary temperature, an analysis of their global properties is carried out in the algebraic…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Hans-Juergen Borchers , Detlev Buchholz

We provide an axiomatic framework for Quantum Field Theory at finite temperature which implies the existence of general analyticity properties of the $ n $-point functions; the latter parallel the properties derived from the usual Wightman…

High Energy Physics - Theory · Physics 2007-05-23 Jacques Bros , Detlev Buchholz

We argue that a scalar field in de Sitter spacetime should feel explicit thermal effects associated with its curvature. Starting from the Bunch-Davies vacuum and a scalar field with small mass compared to the de Sitter curvature, we use the…

High Energy Physics - Theory · Physics 2025-12-08 Nikos Irges , Antonis Kalogirou , Fotis Koutroulis

We consider the vacuum response of a particle detector in Anti-de Sitter spacetime, and in particular analyze how spacetime features such as curvature and dimensionality affect the response spectrum of an accelerated detector. We calculate…

General Relativity and Quantum Cosmology · Physics 2014-11-21 David Jennings

We present a survey of rigourous quantization results obtained in recent works on quantum free fields in de Sitter space. For the "massive'' cases which are associated to principal series representations of the de Sitter group SO\_0(1,4),…

High Energy Physics - Theory · Physics 2008-11-26 Jean-Pierre Gazeau , Marc Lachièze-Rey

We construct explicit mode expansions of various tree-level propagators in the Rindler -- de Sitter universe, also known as the static (or compact) patch of the de Sitter spacetime. We construct in particular the Wightman functions for…

High Energy Physics - Theory · Physics 2020-10-14 E. T. Akhmedov , K. V. Bazarov , D. V. Diakonov , U. Moschella

Thermal Wightman functions of a massless scalar field are studied within the framework of a ``near horizon'' static background model of an extremal R-N black hole. This model is built up by using global Carter-like coordinates over an…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Valter Moretti , Stefan Steidl

It is shown that the averaged null energy condition is fulfilled for a dense, translationally invariant set of vector states in any local quantum field theory in two-dimensional Minkowski spacetime whenever the theory has a mass gap and…

Mathematical Physics · Physics 2015-06-26 Rainer Verch

Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Cameron R. D. Bunney , Jorma Louko

A quantum field theoretical approach, in which a quantum probe is used to investigate the properties generic non-flat FLRW space-times is discussed. The probe is identified with a conformally coupled massless scalar field defined on a…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Yevgeniya Rabochaya , Sergio Zerbini

If a state is passive for uniformly accelerated observers in n-dimensional anti-de Sitter space-time (i.e. cannot be used by them to operate a perpetuum mobile), they will (a) register a universal value of the Unruh temperature, (b)…

Mathematical Physics · Physics 2009-11-10 Detlev Buchholz , Stephen J. Summers

A physically meaningful local concept of temperature is introduced in quantum field theory on curved spacetime and applied to the example of a massless field on de Sitter space. It turns out in this model that the equilibrium (Gibbs) states…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Detlev Buchholz , Jan Schlemmer

In this paper we will analyse quantum field theory on de Sitter spacetime. We will analyse a general scalar and vector field theory on de Sitter spacetime. This is done by first calculating these propagators on four-Sphere and then…

Respecting that any consistent quantum field theory in curved space-time must include black hole radiation, in this paper, we examine the Krein-Gupta-Bleuler (KGB) formalism as an inevitable quantization scheme in order to follow the…

General Relativity and Quantum Cosmology · Physics 2018-08-14 Hamed Pejhan , Surena Rahbardehghan

In this paper we evaluate the Wightman functions associated with a massive quantum scalar field in de Sitter and anti-de Sitter spacetimes in the presence of a cosmic string. Having these functions we calculate the corresponding…

High Energy Physics - Theory · Physics 2012-10-03 Eugênio R. Bezerra de Mello

In general, the Gibbons-Hawking temperature based on the Euclidean functional approach shows that de Sitter space in the Bunch-Davies vacuum is globally thermal. In the exactly soluble semiclassical Jackiw-Teitelboim model, we investigate…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Hwajin Eom , Wontae Kim

We extend the derivation of the Hawking temperature of a Schwarzschild black hole via the Heisenberg uncertainty principle to the de Sitter and anti-de Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Brett Bolen , Marco Cavaglia

Information-theoretic methods have led to significant advances in nonperturbative quantum field theory in flat space. In this work, we show that these ideas can be generalized to field theories in a fixed de Sitter space. Focusing on…

High Energy Physics - Theory · Physics 2025-01-22 Nicolás Abate , Gonzalo Torroba

We discuss quantum inequalities for minimally coupled scalar fields in static spacetimes. These are inequalities which place limits on the magnitude and duration of negative energy densities. We derive a general expression for the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Michael J. Pfenning , L. H. Ford
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