Quick Search:
Prog. Theor. Phys. Vol. 121 No. 6 (2009) pp. 1389-1397
Letters
On Unitarity of Massive Gravity in Three Dimensions
Masashi Nakasone and
Ichiro Oda*
Department of Physics, University of the Ryukyus,
Okinawa 903-0213, Japan
(Received March 4, 2009)
Abstract:
We examine a unitarity of a particular higher-derivative
extension of general relativity in three space-time dimensions, which
has been recently shown to be equivalent to the Pauli-Fierz massive
gravity at the linearized approximation level, and explore a
possibility of generalizing the model to higher space-time dimensions.
We find that the model in three dimensions is indeed unitary in the
tree-level, but the corresponding model in higher dimensions is not
so due to the appearance of non-unitary massless spin-2 modes.
Subject Index :
105, 130, 133, 134, 454
URL :
http://ptp.ipap.jp/link?PTP/121/1389/
DOI : 10.1143/PTP.121.1389
References:
-
R. Percacci, Nucl. Phys. B 353 (1991), 271, [CrossRef]
arXiv:0712.3545[e-print arXiv].
- Z. Kakushadze and P. Langfelder, Mod. Phys. Lett. A 15 (2000), 2265,
hep-th/0011245[e-print arXiv].
-
M. Porrati, J. High Energy Phys. 04 (2002), 058, [CrossRef]
hep-th/0112166[e-print arXiv].
-
I. Kirsch, Phys. Rev. D 72 (2005), 024001, [APS]
hep-th/0503024[e-print arXiv].
-
G. 't Hooft, arXiv:0708.3184[e-print arXiv].
-
Z. Kakushadze, Int. J. Mod. Phys. A 23 (2008), arXiv:0709.1673[e-print arXiv].
- I. Oda, Adv. Stud. Theor. Phys. 2 (2008), 261,
arXiv:0709.2419[e-print arXiv].
- M. Maeno and I. Oda, Mod. Phys. Lett. B 22 (2009), 3025,
arXiv:0801.0827[e-print arXiv].
- M. Maeno and I. Oda, Int. J. Mod. Phys. A 24 (2009) 81,
arXiv:0808.1394[e-print arXiv].
-
S. Deser, R. Jackiw and S. Templeton, Ann. of Phys. 140 (1982), 372[CrossRef];
Ann. of Phys. 281 (2000), 409[CrossRef].
-
W. Li, W. Song and A. Strominger, J. High Energy Phys. 04 (2008), 082, [CrossRef]
arXiv:0801.4566[e-print arXiv].
- M. Fierz and W. Pauli, Proc. R. Soc. London A 173 (1939), 211.
-
E. A. Bergshoeff, O. Hohm and P. A. Townsend, arXiv:0901.1766[e-print arXiv].
-
K. S. Stelle, Phys. Rev. D 16 (1977), 953[APS].
- C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (W. H. Freeman & Co, 1973).
