Authors: Kurt Hinterbichler
Date: 18 May 2011
Abstract: Massive gravity has seen a resurgence of interest due to the recent realization that its traditional problems may be overcome, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied off and on for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the St\"ukelberg formalism to discuss them from the modern effective field theory viewpoint. We review recent progress of the last decade, including the dissolution of the vDVZ discontinuity via the Vainshtein screening mechanism, the existence of a consistent effective field theory with a stable hierarchy between the graviton mass and the cutoff, the existence of particular interactions which raise the maximal effective field theory cutoff, and strong hints that the higher cutoff theory is ghost free. In addition, we review some peculiarities of massive gravitons on curved space, novel theories in three dimensions, and examples of the emergence of a massive graviton from extra-dimensions and brane worlds.
© M. Vallisneri 2012 — last modified on 2010/01/29
Tantum in modicis, quantum in maximis