Discussing quantum aspects of higher-derivative 3-D gravity in the first-order formalism
- 44 Downloads
In this paper, we reassess the issue of deriving the propagators and identifying the spectrum of excitations associated to the vielbein and spin connection of (1+2)-D gravity in the presence of dynamical torsion, while working in the first-order formulation. A number of peculiarities is pointed out whenever the Chern–Simons term is taken into account along with a combination of bilinear terms in the torsion tensor. We present a procedure to derive the full set of propagators, based on an algebra of enlarged spin-type operators, and we discuss under which conditions the poles of the tree-level 2-point functions correspond to physical excitations that do not conflict with causality and unitarity.
KeywordsMassive Gravity Wave Operator Spin Connection Torsion Tensor Antisymmetric Part
Unable to display preview. Download preview PDF.
- 6.E. Bergshoeff, O. Hohm, P. Townsend, On massive gravitons in 2+1 dimensions. arXiv:0912.2944 [hep-th]
- 9.D.D.K. Chow, C.N. Pope, E. Sezgin, Kundt spacetimes as solutions of topologically massive gravity. arXiv:0912.3438 [hep-th]
- 12.L.M. de Moraes, J.A. Helayël-Neto, C. Hernaski, B. Pereira-Dias, A.A. Vargas Paredes, V.J. Vasquez, Otoya, Work in progress Google Scholar
- 14.V. de Sabbata, M. Gasperini, Introduction to Gravitation (World Scientific, Singapore, 1985) Google Scholar
- 17.M. Gurses, Killing vector fields in three dimensions: a method to solve massive gravity field equations. arXiv:1001.1039 [gr-qc]
- 32.J. Zanelli, (Super)-gravities beyond 4 dimensions. arXiv:hep-th/0206169