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The quantization of a scalar field in anti de Sitter spacetime using Poincar\'e coordinates is considered. We find a discrete spectrum that is consistent with a possible mapping between bulk and boundary quantum states.

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We revisit the principal arguments for interpreting the free quantum fields on anti-de Sitter or de Sitter spacetimes of any dimensions as oscillators or respectively anti-oscillators. In addition, we point out that there exists a chart on…

广义相对论与量子宇宙学 · 物理学 2014-10-07 Ion I. Cotaescu

We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special…

高能物理 - 理论 · 物理学 2018-01-03 E. T. Akhmedov

It is shown that the so-called $\alpha$-vacua which have been proposed as candidates for states of free quantum fields on de Sitter space have infinitely strong fluctuations for typical observables as averaged renormalized energy momentum…

高能物理 - 理论 · 物理学 2009-11-11 Romeo Brunetti , Klaus Fredenhagen , Stefan Hollands

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

高能物理 - 理论 · 物理学 2015-06-04 Don N. Page , Xing Wu

We obtain all the stationary vacua of de Sitter space by classifying the inequivalent timelike isometries of the de Sitter group. Besides the static vacuum, de Sitter space also admits a family of rotating vacua, which we use to obtain…

高能物理 - 理论 · 物理学 2013-08-09 Maulik Parikh , Prasant Samantray

We consider the definition of the global vacuum state of a quantum scalar field on $n$-dimensional anti-de Sitter space-time as seen by an observer rotating about the polar axis. Since positive (or negative) frequency scalar field modes…

广义相对论与量子宇宙学 · 物理学 2015-03-16 Carl Kent , Elizabeth Winstanley

The problem of the quantum modes of the scalar free field on anti-de Sitter backgrounds with an arbitrary number of space dimensions is considered. It is shown that this problem can be solved by using the same quantum numbers as those of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Ion I. Cotăescu

We study the quantum correlations of free scalar field with vacuum ambiguity of de Sitter space. We show the occurrence of degradation of quantum entanglement and quantum discord between field modes for inertial observer in curved space due…

量子物理 · 物理学 2012-05-21 Jun Feng , Cheng-Yi Sun , Wen-Li Yang , Yao-Zhong Zhang , Heng Fan

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…

de Sitter space-time has a one complex parameter family of invariant vacua for the theory of a free, massive scalar field. For most of these vacua, in an interacting scalar theory the one loop corrections diverge linearly for large values…

高能物理 - 理论 · 物理学 2009-11-10 Hael Collins , R. Holman , Matthew R. Martin

We discuss several aspects of quantum field theory of a scalar field in a Friedmann universe, clarifying and highlighting several conceptual and technical issues. (A) We show that one can map the dynamics of (1) a massless scalar field in a…

广义相对论与量子宇宙学 · 物理学 2019-01-17 Kinjalk Lochan , Karthik Rajeev , Amit Vikram , T. Padmanabhan

Behaviour of a weekly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). Existence of the de Sitter…

天体物理学 · 物理学 2010-04-06 Alexei A. Starobinsky , Jun'ichi Yokoyama

We show that people living in a four dimensional Minkowski spacetime and located in the Fubini vacua of an unstable critical scalar theory, observe an open FRW de Sitter universe.

高能物理 - 理论 · 物理学 2007-05-23 Farhang Loran

(1+1)-dimensional locally de Sitter Friedmann-Robertson-Walker cosmologies with compact spatial sections allow cosh, sinh and exponential evolution laws, each with a freely-specifiable spatial circumference parameter, and the value of this…

广义相对论与量子宇宙学 · 物理学 2024-01-19 Vladimir Toussaint , Jorma Louko

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…

广义相对论与量子宇宙学 · 物理学 2013-05-08 Suprit Singh , Chandrima Ganguly , T. Padmanabhan

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…

广义相对论与量子宇宙学 · 物理学 2024-06-26 Cameron R. D. Bunney , Jorma Louko

We study quantum discord between two free modes of a massive scalar field in a maximally entangled state in de Sitter space. We introduce two observers, one in a global chart and the other in an open chart of de Sitter space, and the…

高能物理 - 理论 · 物理学 2016-12-28 Sugumi Kanno , Jonathan P. Shock , Jiro Soda

I discuss empty space, as it appears in the physical foundations of relativistic field theories and in the semiclassical study of isolated systems. Of particular interest is the relationship between empirical measurements of the…

物理学史与哲学 · 物理学 2023-03-28 Mike D. Schneider

The CPT invariant vacuum states of a scalar field in de Sitter space, called $\alpha$-vacua, are not unique. We explore the $\alpha$-vacua from the quantum information perspective by a pair of static Unruh-DeWitt (UDW) detectors coupled to…

高能物理 - 理论 · 物理学 2026-04-27 Feng-Li Lin , Sayid Mondal
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