Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. II. Basic gauge-invariant variables with applications to de sitter space-time

1997 ◽  
Vol 36 (8) ◽  
pp. 1817-1842 ◽  
Author(s):  
Zbigniew Banach ◽  
Slawomir Piekarski
Keyword(s):  
Perturbation Theory ◽  
De Sitter Space ◽  
Space Time ◽  
Linear Perturbation ◽  
De Sitter ◽  
Field Equations ◽  
Gauge Invariant ◽  
Linear Perturbation Theory ◽  
Covariant Field

scholarly journals REDUCTION FORMALISM FOR DIRAC FERMIONS ON DE SITTER SPACE–TIME

2008 ◽  
Vol 23 (07) ◽  
pp. 1075-1087 ◽  
Author(s):  
COSMIN CRUCEAN ◽  
RADU RACOCEANU
Keyword(s):  
Perturbation Theory ◽  
Dirac Equation ◽  
Exact Solutions ◽  
Scattering Amplitude ◽  
De Sitter Space ◽  
Space Time ◽  
Green Functions ◽  
Dirac Fermions ◽  
De Sitter

The reduction formulas for Dirac fermions is derived using the exact solutions of free Dirac equation on de Sitter space–time. In the framework of the perturbation theory one studies the Green functions and derives the scattering amplitude in the first orders of perturbation theory.

scholarly journals TACHYONS IN DE SITTER SPACE AND ANALYTICAL CONTINUATION FROM dS/CFT TO AdS/CFT

2004 ◽  
Vol 19 (29) ◽  
pp. 4985-5001 ◽  
Author(s):  
M. CADONI ◽  
P. CARTA
Keyword(s):  
Analytic Continuation ◽  
De Sitter Space ◽  
Space Time ◽  
Analytical Continuation ◽  
Green Functions ◽  
De Sitter ◽  
Field Equations ◽  
Scalar Particles

We discuss analytic continuation from d-dimensional Lorentzian de Sitter ( dS d) to d-dimensional Lorentzian anti-de Sitter ( AdS d) space–time. We show that AdS d, with opposite signature of the metric, can be obtained as analytic continuation of a portion of dS d. This implies that the dynamics of (positive square-mass) scalar particles in AdS d can be obtained from the dynamics of tachyons in dS d. We discuss this correspondence both at the level of the solution of the field equations and of the Green functions. The AdS / CFT duality is obtained as analytic continuation of the dS / CFT duality.

LIFETIME OF A DE SITTER PARTICLE

2008 ◽  
Vol 05 (08) ◽  
pp. 1243-1254
Author(s):  
HENRI EPSTEIN
Keyword(s):  
Perturbation Theory ◽  
Minkowski Space ◽  
Principal Series ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Complementary Series ◽  
First Order ◽  
Interaction Terms ◽  
Minkowski Space Time

The familiar rule which, in Minkowski space-time, forbids the decay of a particle into heavier products, does not hold in de Sitter space-time. We study, in first order of perturbation theory, the decay of a particle of the "principal series" and show that it may decay into two particles of any of the "principal" or "complementary" series (with suitable interaction terms). Spectral conditions reappear in the decay of a "complementary" particle: but its lifetime is 0.

scholarly journals Analyticity Properties and Thermal Effects for General Quantum Field Theory on de Sitter Space-Time

1998 ◽  
Vol 196 (3) ◽  
pp. 535-570 ◽  
Author(s):  
Jacques Bros ◽  
Henri Epstein ORF RID="a3"> ◽  
Ugo Moschella
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Thermal Effects ◽  
De Sitter Space ◽  
Space Time ◽  
Quantum Field ◽  
De Sitter ◽  
General Quantum

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.

Analytical linear perturbation theory for highly eccentric satellite orbits

1995 ◽  
Vol 61 (4) ◽  
pp. 369-387 ◽  
Author(s):  
Eugene Brumberg ◽  
Victor A. Brumberg ◽  
Thomas Konrad ◽  
Michael Soffel
Keyword(s):  
Perturbation Theory ◽  
Linear Perturbation ◽  
Satellite Orbits ◽  
Linear Perturbation Theory
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