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

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 Adiabatic invariants and scalar fields in a de Sitter space-time

1998 ◽  
Vol 237 (6) ◽  
pp. 331-336 ◽  
Author(s):  
C. Bertoni ◽  
F. Finelli ◽  
G. Venturi
Keyword(s):  
Scalar Fields ◽  
De Sitter Space ◽  
Space Time ◽  
Adiabatic Invariants ◽  
De Sitter

scholarly journals RADIAL EVOLUTION IN ANTI-DE SITTER SPACE–TIME

2006 ◽  
Vol 21 (16) ◽  
pp. 3289-3294
Author(s):  
ANTON ILDERTON
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Scalar Fields ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Factorization Property ◽  
Second Quantization ◽  
Radial Evolution

In this paper we describe some properties of Green's functions which may be derived in either first or second quantization. We illustrate this with a factorization property of scalar fields in AdS space.

Noncommutative scalar field in de Sitter space–time and pair creation process

2021 ◽  
Vol 36 (02) ◽  
pp. 2150011
Author(s):  
Nabil Mehdaoui ◽  
Lamine Khodja ◽  
Salah Haouat
Keyword(s):  
Scalar Field ◽  
Chemical Potential ◽  
De Sitter Space ◽  
Space Time ◽  
Pair Creation ◽  
De Sitter ◽  
Creation Process ◽  
Scalar Particles ◽  
Constant Electromagnetic Field

In this work, we address the process of pair creation of scalar particles in [Formula: see text] de Sitter space–time in presence of a constant electromagnetic field by applying the noncommutativity on the scalar field up to first-order in [Formula: see text]. We calculate the density of particles created in the vacuum by the mean of the Bogoliubov transformations. In contrast to a previous result, we show that noncommutativity contributes to the pair creation process. We find that the noncommutativity plays the same role of chemical potential and gives an important interest for studies at high energies.

Quantum field theory in anti-de Sitter space-time

1978 ◽  
Vol 18 (10) ◽  
pp. 3565-3576 ◽  
Author(s):  
S. J. Avis ◽  
C. J. Isham ◽  
D. Storey
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
De Sitter Space ◽  
Space Time ◽  
Quantum Field ◽  
De Sitter
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