کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1856437 | 1529857 | 2015 | 9 صفحه PDF | دانلود رایگان |
Here we show that in arbitrary dimensions D≥3D≥3 there are two families of linearized second order Lagrangians describing massive “spin-2” particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz–Pauli theory in general. At zero mass one of the families is Weyl invariant. Such massless theory has no particle content in D=3D=3 and gives rise, via master action, to a dual higher order (in derivatives) description of massive spin-2 particles in D=3D=3 where both the second and the fourth order terms are Weyl invariant, contrary to the linearized New Massive Gravity. However, only the fourth order term is invariant under arbitrary antisymmetric shifts. Consequently, the antisymmetric part of the tensor e[μν]e[μν] propagates at large momentum as 1/p21/p2 instead of 1/p41/p4. So, the same kind of obstacle for the renormalizability of the New Massive Gravity reappears in this nonsymmetric higher order description of massive spin-2 particles.
Journal: Annals of Physics - Volume 354, March 2015, Pages 385–393