scholarly journals QUANTUM ANTI-DE SITTER SPACE AT ROOTS OF UNITY

2000 ◽  
Vol 14 (22n23) ◽  
pp. 2499-2501
Author(s):  
HAROLD STEINACKER
Keyword(s):  
Hilbert Spaces ◽  
Scalar Fields ◽  
De Sitter Space ◽  
High Energy ◽  
Roots Of Unity ◽  
De Sitter ◽  
Algebra Of Functions ◽  
Energy Cutoff ◽  
Star Structure

An algebra of functions on q-deformed Anti-de Sitter space [Formula: see text] with star-structure is defined for roots of unity, which is covariant under Uq(so(2, D-1)). The scalar fields have an intrinsic high-energy cutoff, and arise most naturally on products of the quantum AdS space with a classical sphere. Hilbert spaces of scalar fields are constructed.

scholarly journals Unruh response functions for scalar fields in de Sitter space

2004 ◽  
Vol 21 (21) ◽  
pp. 4993-5004 ◽  
Author(s):  
Björn Garbrecht ◽  
Tomislav Prokopec
Keyword(s):  
Scalar Fields ◽  
De Sitter Space ◽  
Response Functions ◽  
De Sitter

DIVERGENCE STRUCTURE FOR THE STATISTICAL ENTROPY OF SPIN FIELDS IN REISSNER–NORDSTRÖM–de SITTER SPACE–TIME

2002 ◽  
Vol 17 (14) ◽  
pp. 887-897 ◽  
Author(s):  
ZHONG-HENG LI
Keyword(s):  
Scalar Fields ◽  
De Sitter Space ◽  
Space Time ◽  
Brick Wall ◽  
De Sitter ◽  
Statistical Entropy ◽  
Wall Model ◽  
Thin Region ◽  
Spin Fields ◽  
Divergence Structure

We consider the divergences at all levels for the statistical entropy of gravitational, electromagnetic, neutrino and scalar fields on extremal and nonextremal Reissner–Nordström–de Sitter space–time background in terms of the brick-wall model. We find that entropy of spin fields within a region near coinciding horizons has higher divergence than usual. The earlier result that the entropy of spin fields is proportional to scalar one or the horizon area holds only for the thin region near an isolated horizon, since the spin-dependent divergences exist in all other cases.

scholarly journals Quantum scalar fields on anti-de Sitter space-time

1999 ◽  
Vol 549 (1-2) ◽  
pp. 499-515 ◽  
Author(s):  
Marco M. Caldarelli
Keyword(s):  
Scalar Fields ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter

scholarly journals Spiky strings in de Sitter space

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Mitsuhiro Kato ◽  
Kanji Nishii ◽  
Toshifumi Noumi ◽  
Toshiaki Takeuchi ◽  
Siyi Zhou
Keyword(s):  
Regge Trajectory ◽  
Flat Space ◽  
De Sitter Space ◽  
High Energy ◽  
Spin States ◽  
De Sitter ◽  
Regge Trajectories ◽  
Higher Spin ◽  
Maximum Spin

Abstract We study semiclassical spiky strings in de Sitter space and the corresponding Regge trajectories, generalizing the analysis in anti-de Sitter space. In particular we demonstrate that each Regge trajectory has a maximum spin due to de Sitter acceleration, similarly to the folded string studied earlier. While this property is useful for the spectrum to satisfy the Higuchi bound, it makes a nontrivial question how to maintain mildness of high-energy string scattering which we are familiar with in flat space and anti-de Sitter space. Our analysis implies that in order to have infinitely many higher spin states, one needs to consider infinitely many Regge trajectories with an increasing folding number.

scholarly journals Quantum steering for continuous variable in de Sitter space

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
Cuihong Wen ◽  
Jieci Wang ◽  
Jiliang Jing
Keyword(s):  
Sudden Death ◽  
Scalar Fields ◽  
Flat Space ◽  
De Sitter Space ◽  
Continuous Variable ◽  
Massless Scalar ◽  
Continuous Variables ◽  
De Sitter ◽  
Quantum Steering ◽  
The Asymmetry

Abstract We study the distribution of quantum steerability for continuous variables between two causally disconnected open charts in de Sitter space. It is shown that quantum steerability suffers from “sudden death” in de Sitter space, which is quite different from the behaviors of entanglement and discord because the latter always survives and the former vanishes only in the limit of infinite curvature. It is found that the attainment of maximal steerability asymmetry indicates a transition between unidirectional steerable and bidirectional steerable. Unlike in the flat space, the asymmetry of quantum steerability can be completely destroyed in the limit of infinite curvature for the conformal and massless scalar fields in de Sitter space.

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