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arXiv · 1107.2712

de Sitter invariance of the dS graviton vacuum

Atsushi Higuchi·Donald Marolf·Ian A. Morrison
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Abstract

The two-point function of linearized gravitons on de Sitter space is infrared divergent in the standard transverse traceless synchronous gauge defined by $k=0$ 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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Atsushi Higuchi, Donald Marolf, Ian A. Morrison. 2011-08-24. de Sitter invariance of the dS graviton vacuum. https://doi.org/10.1088/0264-9381%2F28%2F24%2F245012

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