2012

One-loop gravitational wave spectrum in de Sitter spacetime

Fröb, Markus B., Roura, Albert, Verdaguer, Enric

Understand

The two-point function for tensor metric perturbations around de Sitter spacetime including one-loop corrections from massless conformally coupled scalar fields is calculated exactly.

We work in the Poincar\'e patch (with spatially flat sections) and employ dimensional regularization for the renormalization process.
Unlike previous studies we obtain the result for arbitrary time separations rather than just equal times.
Moreover, in contrast to existing results for tensor perturbations, ours is manifestly invariant with respect to the subgroup of de Sitter isometries corresponding to a simultaneous time translation and rescaling of the spatial coordinates.

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