Equivalence between the Weyl-tensor and gauge-invariant graviton two-point functions in Minkowski and de Sitter spaces

2012/04/07 by Atsushi Higuchi, Higuchi, Atsushi
Physics and Astronomy · #81 #83 #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th #msc:81 #msc:83

paper · pdf · doi:10.48550/arxiv.1204.1684

6 pages, revised and extended version of a talk; minor errors corrected; proof for de Sitter space improved

arxiv created 2013/08/22 · arxiv updated 2013/08/23

Abstract

The two-point Wightman function of the free photon field defined in a gauge-invariant manner is known to be equivalent to the field-strength two-point function in any spacetime that is topologically trivial. We show that the gauge-invariant graviton two-point function defined in a similar manner is equivalent to the Weyl-tensor two-point function in Minkowski space and in the Poincare patch of de Sitter space. This implies that in the Poincare patch of de Sitter space the gauge-invariant graviton two-point function decays like (distance)^(-4) as a function of coordinate distance for spacelike separation.

Related

• On the graviton two-point function and its infrared behavior in de Sitter spacetime
• Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
• Perturbative Quantum Gravity and Yang-Mills Theories in de Sitter Spacetime
• Infrared-finite graviton two-point function in static de Sitter space
• Covariant two-point function for linear gravity in de Sitter space