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Light fields in various patches of de Sitter space-time
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Light fields in various patches of de Sitter space-time
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We start with the consideration of the loop effects for light fields with non-zero mass in the expanding Poincar\'e patch of de Sitter space-time. We derive the Dyson-Schwinger equation, which sums up the leading infrared (growing with time) loop corrections in certain limit for small initial perturbations above the Bunch-Davies state. The solution of this equation shows the destiny of the initial state at the future infinity. Then we discuss the case of the contracting Poincar\'e patch and global de Sitter space-time and briefly the case of different initial conditions in the expanding Poincar\'e patch.
Forward citations
Cited by 2 Pith papers
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Sine-Gordon solitons in AdS, dS and other hyperbolic spaces
The authors derive new multisoliton solutions in Anti-de Sitter and single solitons in de Sitter spacetimes using a curvature-deformed sine-Gordon model.
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IR behaviour of one-loop complex $\mathbb{R}\times S^3$ saddles
One-loop metric fluctuations produce secularly growing IR divergences in the Hartle-Hawking wavefunction for complex saddles on R x S3, identical in leading order to the Lorentzian de Sitter case after UV renormalization.
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