QFT in the flat chart of de Sitter space

Abstract

We study the correlators for interacting quantum field theory in the flat chart of de Sitter space at all orders in perturbation. The correlators are calculated in the in-in formalism which are often applied to the calculations in the cosmological perturbation. It is shown that these correlators are de Sitter invariant. They are compared with the correlators calculated based on the Euclidean field theory. We then find that these two correlators are identical. This correspondence has been already shown graph by graph but we give an alternative proof of it by direct calculation.

24 pages, 7 figures. References added with some minor corrections. To appear in Phys. Rev. D

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Cited by in corpus (14)

• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• Loops in inflationary correlation functions
• Aspects of Nonlocality in Quantum Field Theory, Quantum Gravity and Cosmology
• Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space
• Infrared-finite graviton two-point function in static de Sitter space
• To the sphere and back again: de Sitter infrared correlators at NTLO in 1/N
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Quantum gravitational corrections for spinning particles
• Quantum corrections for spinning particles in de Sitter
• On cosmic hair and "de Sitter breaking" in linearized quantum gravity
• De Sitter Space in Gauge/Gravity Duality
• Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
• Fully renormalized stress tensor correlator in flat space
• Hartle-Hawking state in the real-time formalism