de Sitter invariance of the dS graviton vacuum
Atsushi Higuchi, Donald Marolf, Ian A. Morrison
TL;DR
This paper demonstrates that the infrared divergence in the two-point function of linearized gravitons on de Sitter space can be eliminated through a gauge transformation, confirming the de Sitter invariance of the graviton vacuum.
Contribution
It shows that the infrared divergence is a gauge artifact and the graviton vacuum remains well-defined and de Sitter invariant after an explicit gauge adjustment.
Findings
Infrared divergence can be removed by a gauge transformation.
The graviton vacuum state is de Sitter invariant.
The divergence is a gauge artifact, not a physical issue.
Abstract
The two-point function of linearized gravitons on de Sitter space is infrared divergent in the standard transverse traceless synchronous gauge defined by cosmological coordinates (also called conformal or Poincare coordinates). We show that this divergence can be removed by adding a linearized diffeomorphism to each mode function; i.e., by an explicit change of gauge. It follows that the graviton vacuum state is well-defined and de Sitter invariant in agreement with various earlier arguments.
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