Graviton Propagator in a General Invariant Gauge on de Sitter
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We construct the graviton propagator on de Sitter background in the one parameter family of exact, de Sitter invariant gauges. Our result takes the form of a universal spin two part and a gauge dependent spin zero part. Scalar equations are derived for the structure functions of each part. There is no de Sitter invariant solution for either structure function, although the de Sitter breaking contribution to the spin zero part may drop out for certain choices of the gauge parameter. Our results imply that de Sitter breaking is universal for the graviton propagator, and hence that there is an error in the contrary results derived by analytic continuation of average gauge fixing techniques.
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Cited by 2 Pith papers
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Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter
Gauge dependence cancels in the one-loop effective scalar equation in de Sitter when all diagram contributions including external mode corrections are collected.
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Graviton propagator in de Sitter space in a simple one-parameter gauge
Derives a relatively simple graviton propagator in de Sitter space for a one-parameter family of non-covariant gauges to enable gauge-dependence checks in loop computations.
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