Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-07
Phys.Rev.D80:124012,2009
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
10.1103/PhysRevD.80.124012
In this paper, we reassess a particular $R^{2}$-type gravity action in D dimensions, recently studied by Nakasone and Oda, taking now torsion effects into account. Considering that the vielbein and the spin connection carry independent propagating degrees of freedom, we conclude that ghosts and tachyons are absent only if torsion is non-propagating, and we also conclude that there is no room for massive gravitons. To include these excitations, we understand how to enlarge Nakasone-Oda's model by means of explicit torsion terms in the action and we discuss the unitarity of the enlarged model for arbitrary dimensions.
Helayël-Neto Jose A.
Hernaski C. A.
Vargas-Paredes A. A.
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