Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-14
Nucl.Phys.B412:305-319,1994
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, preprint BRX TH--337, DAMTP R93/5, ADP-93-204/M18
Scientific paper
10.1016/0550-3213(94)90504-5
We obtain the high energy, small angle, 2-particle gravitational scattering amplitudes in topologically massive gravity (TMG) and its two non-dynamical constituents, Einstein and Chern--Simons gravity. We use 't Hooft's approach, formally equivalent to a leading order eikonal approximation: one of the particles is taken to scatter through the classical spacetime generated by the other, which is idealized to be lightlike. The required geometries are derived in all three models; in particular, we thereby provide the first explicit asymptotically flat solution generated by a localized source in TMG. In contrast to $D$=4, the metrics are not uniquely specified, at least by naive asymptotic requirements -- an indeterminacy mirrored in the scattering amplitudes. The eikonal approach does provide a unique choice, however. We also discuss the discontinuities that arise upon taking the limits, at the level of the solutions, from TMG to its constituents, and compare with the analogous topologically massive vector gauge field models.
Deser Stanley
McCarthy J. J.
Steif Alan R.
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